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    AbstractThe development of a biomechatronic hand with

    multi-FSRs (Force Sensitive Resistor) interface is presented.

    The cambered palm is specially designed to enhance the stabilitywhile grasping. The opposite thumb could grasp along a cone

    surface, while maintaining its function. By taken the advantage

    of coupling linkage mechanism, each finger with three

    phalanges could fulfill flexion and extension independently.

    Besides, each finger is equipped with torque and position

    sensors. Thus, the cosmetics and dexterity are improved

    remarkably compared to commercial prosthesis. The hardware

    architecture is hierarchically organized as control system and

    human-machine interaction system. To evaluate the

    performances of the hand, the pattern reorganization

    experiment based on support vector machine (SVM) was

    conducted. The results show that FSR sensing technology is

    suitable for muscle activity detection; Compared to nearest

    neighborhood classifier, SVM method improves the predictsuccess rate. Moreover, it also demonstrates that the hand is

    dexterous and manipulates like human.

    I. INTRODUCTIONROSTHETIC hand as a branch of humanoid hand

    research is widely addressed in the field of rehabilitation

    technologies. Commercial prostheses usually have simple

    structure and rarely no sensory system. These limitations

    deeply affect the functionality of hand. Due to the drawbacks

    of commercial prostheses, many experimental prostheses

    with more degree of freedoms (DOFs) and sensors have been

    developed, such as FZK Hand [1], RTRII Hand [2], IOWA

    hand [3], and Smarthand [4]. But these hands are still faraway from being accepted as part of the body by the

    amputees.

    Despite of several research effort aimed at innovating

    humanoid hand technology, surveys on the relevant

    functionality of the hand prosthesis with regard to daily use

    activities show that the main concerns of the amputees are

    aesthetics (62%), excessive weight (58%), lack of functional

    capabilities (50%); further more, the opinions from

    rehabilitation professionals reveal that tactile feedback is

    preferred largely [5].

    Due to the current status, it is particularly urgent to develop

    a highly integrated prosthetic device that meets therequirements listed above. Meanwhile, there is an increased

    Manuscript received April 5, 2010. This work was supported by the

    National Natural Science Foundation of China under Grant 50435040, and

    the National High Technology Research and Development Program of China

    under Grant 2008AA04Z203, 2009AA043803.

    Xinqing Wang, Jingdong Zhao, Dapeng Yang, Nan Li, and Chao Sun are

    with State Key Laboratory of Robotics and System, Harbin Institute of

    Technology, Harbin 150001, China. (e-mail: [email protected])

    Hong Liu is with the Institute of Robotics and Mechatronics, German

    Aerospace Center, Munich 82230, Germany. (e-mail: Hong. [email protected])

    demand from intelligent control; traditional sEMG control

    methods can acquire a higher success rate over prosthetic

    hand control [6], [7]. However the surface electrodes requirevery good contact with human skin to keep D/C voltage

    potential low [8], and the price of the electrodes is expensive.

    Considering that human activities such as grasping can be

    detected by contractions of forearm muscles, we propose to

    use simple, low cost FSR sensors to capture the pressure of

    muscles as source of control, the intention of human could be

    realized through pattern reorganization method [9]. In order

    to improve prehensile posture and success rate, advanced

    machine learning algorithm is required, such as SVM which

    is a useful technique for data classification.

    The present work of this project focuses on the

    biomechatronic approach to develop a human-like prosthesis.The designed hand is a light weight and simple constructed

    multi-DOF hand and can accomplish motions such as nip and

    grasp. The proprioceptive sensory system and control unit are

    embedded in mechanical structure. Besides, the hand can be

    controlled by pattern reorganization method on the basis of

    multi-FSR sensors in the real-time. Its function and

    appearance are very close to the human hand.

    II. MECHANICAL STRUCTUREThe comparison between the prosthetic hand and human

    hand is shown in Fig. 1.

    The hand is 79mm wide, 159mm long and 21mm thick

    (when in full outspread), weighs about 420g including circuit

    boards. It is about 90% to a human hand out of consideration

    for inconspicuous. The hand is composed of five active

    fingers. Each finger is actuated by a DC motor independently.

    By taking the advantage of coupling mechanism, each fingeris capable of rotate around the metacarpophalangeal (MCP),

    proximal interphalangeal (PIP), and distal interphalangeal

    (DIP) joints for a total of 15 movable joints of the entire hand.

    The specifications of each finger are shown in Table I.

    Compared with those of fixed shape fingers; this kind of

    design enhances the functionality of the hand and mimics the

    motion of human finger.

    The sphere grasp range is 50-90mm, the cylinder grasp

    range is 15-90mm, and these were designed to fulfill daily

    Biomechatronic Approach to a Multi-Fingered Hand Prosthesis

    Xinqing Wang, Jingdong Zhao, Dapeng Yang, Nan Li, Chao Sun, Hong Liu

    P

    Fig. 1. Comparison between the prosthetic hand and human hand

    Proceedings of the 2010 3rd IEEE RAS & EMBSInternational Conference on Biomedical Robotics and Biomechatronics,The University of Tokyo, Tokyo, Japan, September 26-29, 2010

    978-1-4244-7709-8/10/$26.00 2010 IEEE 209

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    manipulation requirements. The hand could also complete

    other grasp modes, such as precision grasp and hook

    prehension. The research ideology is described in detail in the

    following sections.

    A. Configuration of PalmAccording to traditional anatomical definitions, human

    palm is comprised of three arches providing the necessary

    stability and mobility in the hand [10], as shown in Fig. 2.

    The cambered palm is designed which is far different from

    that of plain ones. The placement of each finger is shown in

    Fig. 3. The MCP joint of middle finger is the reference both in

    vertical and horizontal position. The index, the ring, and the

    little finger have rotary angles of 3, 3, and 6 around the

    axis of middle finger to realize the distal transverse arch. Thesimulation experiments show that there is better envelope

    space because of the arches.

    The opposability of the thumb is very important for

    dexterity and grasping stability. The oppose angle between

    the thumb and the middle finger is defined as . It is designed

    to ensure the minimum distance larger than 95mm. By means

    of the anti-trigonometric function, the value of can be

    calculated as 69.

    A performance index [11] of the thumb opposability is

    defined by (1)

    31

    1 k

    i iiJ w vd =

    =

    (1)

    Where iv denotes the volume of intersection between themobility space of the thumb and that of the i-th finger, each

    iv is the function of , and can be obtained by using theMechanica module of Pro-E. kdenotes the number of the

    finger except the thumb, dis the length of the thumb, andiw is a weighting coefficient, simply, each iw equals to 1.00.

    The biggerJ becomes, the stronger the hand performs.

    According to the simulation results, the value ofJ reaches

    maximum, when is 28.6.

    B. Multi-Sensory Integrated Design of FingersCommercial prosthetic hands usually use fixed shape

    fingers, which may bring two limitations: Firstly, the motion

    of the finger is unnatural; secondly, the sensory information is

    poor. In order to overcome these disadvantages, the

    physiology of human finger needs to be studied.

    The multi-functionality of the prosthetic hand depends on

    the actuators performance. We adopted a DC motor to drive

    the finger because it is more balanced in the efficiency,

    response time, and reliability. The actuation unit consists of a

    DC motor, a planetary gearheads and a magnetic encoder.

    A tendon drive mechanism was first being considered to

    actuate the finger, but it was abandoned due to small grasping

    forces. Thus, the coupling linkage mechanism is applied to

    transmit the power. The linkage mechanism has 9 bars, as

    shown in Fig. 4.

    Where 1l is the driving bar, 2l is the seat, 3l is the drivenbar, 4l is the transmission bar. 4l is driven by 1l through

    3l during grasp. Thus a 4-bar loop ADBC has beenestablished. The finger mechanism consists of two groups of

    planar four bar linkage mechanism; D and G are the

    intersection points.

    Compared to the underactuated linkage mechanism [12], it

    does not contain elastic parts which are a consumption of

    battery energy. The motion is transmitted from the motor unit

    to the coupling linkage mechanism by means of bevel gear. In

    Fig. 2. Three arches of human hand

    Fig. 4. Schematic structure of index finger

    Fig. 3. Structure of the hand

    Parameters Thumb Index finger

    Middle finger

    Ring finger

    Little finger

    Operating angle [-5 40] [0 87] [0 87]

    Angular velocity 68 (/s) 68 (/s) 118 (/s)Output power 1.5 (W) 1.5 (W) 0.75 (W)

    Fingertip force 10 (N) 10 (N) 4.3 (N)

    TABLEI

    SPECIFICATIONS OF EACH FINGER

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    order to better imitate the shape of each finger in relax, an

    initial inflexed angel of 15 was adopted between proximal

    phalanx and medial phalanx.

    The hand needs as a minimum a set of force and position

    sensors to enable intelligent control schemes. The

    configuration of sensors and disposal circuits are shown in

    Fig. 5. As the finger is compact, the signal transfers among

    the disposal boards through flex-PCB to avoid enlace.

    The motor encoder is applied to measure the relative angle

    of the motor. A contact-less joint position sensor is applied to

    measure the position of MCP joint. It can provide more

    accurate information of joint position to decrease the

    influence of elasticity and hysteresis of the transmission

    system. Its measurement principle can be seen in [13]. The

    torque sensor located in base joint is embedded in the driving

    bar and can precisely measure the external torque. The

    measurement principle is based on the induced mechanical

    strains on elastomers. Shapes and dimensions of elastomers

    are determined by utilizing ANSYS FEM software. The

    analog signals were converted to digital by Wheatstone

    bridge; the processing circuit is shown in Fig. 6.

    SG1 and SG2 are strain gauges; the signals obtained are

    transformed into two channel voltage outputs though the half

    bridge circuit. The difference of the outputs indicates the

    strain of the elastomers. As the amplitude is small, the

    precision amplifieris adopted to amplify the signal; the gain(G) of the amplifier is decided by (2). The output of the

    amplifier is then sent to the A/D converter. The sampling time

    of A/D is 500Hz.

    5

    6 7

    2

    (1/ 1 )/

    RG

    R R

    += (2)

    C. Characteristics of ThumbThe humans thumb usually inclines to the palm when

    relaxed and grasp along a cone surface, which is far different

    from that of most previous prosthetic hand [14], [15].

    Based on the position of thumb mentioned above, the

    geometry is specially designed to mimic the motion of human

    thumb when grasp. The metacarpal of the thumb is placed at

    30 deflexion to the base joint of the middle finger. In

    addition, there is an initial abduction of 30 to the palm, as

    shown in Fig. 3. By doing so, the thumb of the hand can grasp

    along a cone surface which is similar to human hand.

    In order to realize such an effect, an RSRRR spatial linkage

    mechanism was designed, as shown in Fig. 7. It evolves from

    the RSSR mechanism. The RSSR mechanism has two DOFs

    which means motion uncertainty with only one actuator. Thus,

    one spherical joint is replaced by two revolute joints to

    eliminate one extra DOF. By doing so, the planar finger

    motion is extended to three dimensional spaces and only one

    motor is needed to drive the thumb. The last two joints are

    coupled as other four fingers. The thumb, 85mm long, 17mm

    wide and 14mm thick, weighs about 80g.

    D. Packaging of the HandThe skin-like glove fulfils the patients emotional needs

    and provides protection from dust and corrosion. Besides, this

    silicone polymer gives the necessary friction which is useful

    in sliding contact [16].

    Two simple gloves with different thickness have been

    manufactured by utilizing fast prototype technology.

    According to our experiment, the wrinkle is unnatural and

    doesnt fit the hand well. Besides, there is interference

    between the hand and the glove, as shown in Fig. 8. Due to

    the impenetrable of the finger, there will be resisting force

    which may lead to unstable grasp and cost additional energy.

    Basically, with the 2mm thick silicone polymer glove, there isup to 20% motor energy wasted due to the tensile force of the

    glove. So it is important to optimize the shape and dimension

    of the glove.

    We propose to make the wrinkle as a camber. Because of

    the non-uniformity and the anisotropy of the material, it is

    hard to calculate the radius of the camber. According to

    bending theory, the position of neutrosphere is moving

    according to the curly angle, the radius of the neutrosphere

    is defined as (3)

    Fig. 6. Torque sensor disposal circuit

    Fig. 5. Sensory configurations of the index finger

    Fig. 7. Simple view of the thumb

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    r x = + (3)Where ris the radius of the wrinkle;x is the coefficient, and is

    decided by rand , is the thickness of the glove. Thus the

    length of the neutrosphere abl is given by (4).

    180/abl = (4)Thus the shape and dimension of the camber is decided, as

    shown in Fig. 8.

    Based on the idea mentioned above, the improved glove

    was made, as shown in Fig. 9. Compared with the previous

    ones, the resistance has a decrease of 8%. Besides, an

    additional advantage is that the noise of the hand could be

    lowered by the glove to a certain extent.

    III. HARDWARE ARCHITECTUREThe currently developed prosthetic hand is controlled by

    multi-processor controller based on digital signal processor

    (DSP). The architecture of the control system is shown in Fig.

    10. The control system of the prosthetic hand is hierarchically

    organized: the human-machine interface allows the prosthesis

    to communicate with human in an alternate way. Namely:

    record muscle contraction signals through multi-FSR sensors

    and realize contact force feedback to human through

    electrical stimulator; a high-level controller is in charge of

    implementing FSR signal processing and pattern recognition.

    The lower-level controller is designed to coordinate the

    movements of the fingers and accomplish grasp.

    A. Motion Control BoardThe motion control board is embedded in the prosthetic

    hand, and its main function is to actuate and control finger

    motors, acquire and process the signals from torque &

    position sensors and motor encoders. The core of motor

    control is realized by TMS320F2810. It has 6 channel

    independent pulse width modulation (PWM) outputs. In

    addition, it has 16-channel 12 bit A/D converters to realize

    signal sampling from sensors and motor encoders. The

    direction of motor is discriminated through complex

    programming logic device (CPLD). The controller area

    network (CAN) module is applied to communicate with FSR

    signal processing board. The control cycle can reach to

    800 s without any code optimization.

    B. FSR Signal Processing BoardThe hand is controlled by muscle contraction signals in

    real-time. In order to realize the real-time control scheme,

    TMS320F2812 of TI is used in the signal processing board. It

    is a new 32 bit DSP executing 150 MIPS (million instructions

    per second). The muscle contraction signals obtained by

    multi-FSR sensors are transferred through serial peripheral

    interface (SPI) to the signal processing board. The signals are

    then classified by SVM in real-time. The outputs of the

    classifier then send to the motion control board as command.

    IV. PERFORMANCE OF THE HANDTo evaluate the performances of the control system and

    finger mechanism, the pattern recognition control was

    conducted. Pattern reorganization is the most commonly used

    bionic control method. Research on human han

    ds grasp function [17] indicated that, the thumb, index and

    middle finger play a relatively important role than the othersin daily life. For the convenience of classification, we

    configure the thumb, the index and the rest fingers into one

    DOF each. The state of finger was classified at first, that is,

    1 means the finger motion to the extend position, -1

    means the motion to flex position and 0 means motion to

    middle position. Every hand gesture corresponds to one mode.

    We take 9 basic modes for pattern reorganization, as shown in

    Fig. 11.

    Fig. 10. Hardware architecture of control system

    Fig. 8. Wrinkle of the finger

    Fig. 9. Simple view of the artificial skin

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    A. Experiment SetupControl signals are recorded from 5 muscles of the

    operators forearm through 10 FSR-149NS [18] sensors. The

    muscles are musculus flexor carpi ulnaris, extensor carpi

    ulnaris muscle, extensor digitorum muscle, flexible flexor

    carpi, musculus palmaris longus. The force sensitivity of

    FSR-149NS is optimized for use in human touch control ofelectronic devices. Typically, the single part repeatability

    tolerance held during measuring ranges from 2% to 5% of

    an established nominal resistance. The number and placement

    of the FSR sensors seriously affects the recognition of gesture

    patterns. So, the quantity and array of FSR sensors are

    optimized combining correlation coefficient analysis and

    principal component analysis.

    Fig. 12(a) shows the displacement of the sensors before

    optimization. The sensors with a crossing in the shape of an X

    are disposed according to the optimization result, as shown in

    Fig. 12(b).

    The FSR signals were classified by SVM. SVM algorithms

    separate the training data in feature space by a hyperplane

    defined by the type of kernel function used. Thus, the

    selection of an appropriate kernel function plays an important

    role. Generally, the kernel function is chosen if it fitsparticular data better than any other kernel. The Radial Basis

    Function (RBF) kernel is chosen at first [19], maybe it is not

    the best one. The kernel function is given by (5)2

    ( , ) exp( )i j i jK x x x x= (5)

    Where is the kernel parameter, 0 >

    By taken the advantage of Lagrange optimal method, the

    optimal hyperplane can be transformed into dual problem.

    Hence, the indicator function is now given by (6)

    1

    ( ) ( , )l

    i i i

    i

    f x sgn y K x x b=

    = +

    (6)

    Where i are Lagrange multipliers, the upper bound is C, forthose i >0 are called support vectors; , i arevectors,

    iy are labels, might be -1 or 1; b is the thresholdWe use one-against-one method to solve multi-modes'

    classification. For the regression operation, we useepsilon-SVR method. For the optimization of the penalty

    parameterCand kernel function coif gamma, we will make a

    grid research combined with cross validations. The

    experiment devices are shown in Fig. 13.

    We take 50 samples for every mode. The sampling time of

    PCI card is 8s; the procedure is relax-contract-hold-relax by

    following the instruction of the DSP board indicator. The

    hold condition must take up 50% of the sampling time or

    more. After the training progress, every mode must repeat 20

    times to calculate the success rate.

    B. Experiment ResultsCompared to nearest neighborhood classifier, SVM

    method improves the predict success rate, the recognition of 9

    gesture patterns can be achieved at 75%, as shown in Fig. 14.

    The decision frequency of current hand gesture can reach

    to 40Hz in 9 modes, which is adequate for real time control of

    the hand. The success rate is a bit lower than traditional

    sEMG control method; this may be improved by carefully

    choosing the kernel function of SVM, or by taking the

    quantum behaved particle swarm optimization (QPSO)

    algorithm.

    The multi-FSR control scheme can be adopted in the

    control of multi-DOF prosthetic hands and other life-like

    artificial appendages, such as limbs, legs, and foot.

    Fig. 14. Pattern recognition experiment result

    Fig. 11. Hand gesture

    Fig. 13. Experiment devices

    Fig. 12. Before and after the optimization of sensors

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    Fig. 15 displays that the prosthetic hand performs pinch,

    three jaw chawk, cylinder grasp, etc. respectively. It shows

    that the hand is able to grasping objects stably.

    V. CONCLUSIONS AND FUTURE WORKThe concept of the novel anthropomorphic prosthetic hand

    and an intuitive control scheme via forearm muscle

    contraction signals are presented. This approach can be

    synthesized by the term biomechatronic design. The hand

    has cambered palm and five active fingers. Each finger is

    integrated with position and torque sensors. This feature

    offers the hand more grasping patterns and complex control

    methods. On the other hand, by carefully configuring the

    human hand gestures, 9 patterns of grasp modes can be

    recognized with 10 FSR sensors. There may be some

    prosthetic hands that have more DOFs or more sensors, but

    considering the small size, low weight, human-like cosmetics,

    biomimetic controllability and perception in all; the hand that

    we developed is more capable of being an intimate extension

    of human body. In fact, prosthetic hands as substitute for

    human hand cannot be achieved by existing artificial

    technologies.

    The prosthetic hand can be applied in two aspects. Firstly,

    it can be treated as an end operator of a multi-DOF robot arm

    to interact with the environment. Second, with a human likeglove, it can be utilized for the prosthetic uses.

    Furthermore, more work should be done to study

    intelligent force control methods which can be applied for

    regulating the grasp force. Besides, the bio-feedback control

    strategy is being researched, which will communicate a sense

    of touch back to the user. These features enable the hand to

    respond seamlessly to the intent of human user.

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    Fig. 15. Grasp pattern of the hand

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