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Lecture 1 Negative Feedback

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Talk by Prof. Robert Gregg, UT-Dallas, Tuesday 3:30 4:30pm, Geddes Hall Lower Level Auditorium

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(Stein, G., IEEE Control Systems Magazine, 2003)

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Natural Systems: Lotka-Volterra Predator-Prey Model Time-DomainPhase-Portrait (full nonlinear dynamics)

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Engineered Systems: Watt Governor (www.wikipedia.org) James Watt invented the centrifugal governor in 1788. This is widely considered to be the first engineered control system. Designed without a mathematical analysis. Analysis didnt come until James Clerk Maxwell derived the stability conditions in 1868.

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Engineered Systems: Watt Governor (Sotomayor, et al., 2006)

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Air Temperature Control (B. Li, et al., IFAC Cont. Eng. Prac., 2010) Air Conditioning Control Turn compressor on Turn compressor off

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Engineered Systems: NASA X-29 forward-swept-wing aircraft NASA X-29 (Wikipedia.org) Schematic of angle of attack (Wikipedia.org) Forward-swept-wing design enables larger angles of attack Also makes the design statically unstable (center-of-gravity (cog) is aft of center-of-pressure (cop)) Advantages of better maneuverability in the supersonic flight regime Towards the back Schematic of cog and cop (http://www.rockets4schools.org/)

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Engineered Systems: NASA X-29 forward-swept-wing aircraft https://www.youtube.com/watch?v=4TDS_jV1DEg

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Simple Flight Control (Franklin, Powell, 2002)