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In Chapters 10 and 11 we discussedtechniques for output-feedback control of nonlinear systems both via non-adaptive and adaptive methods. In this chapter we apply these techniques to three illustrative examples. In the first example we consider the problem of controlling stall and surge in a jet engine compressor and we seek to find a controller which only employs the measurement of the differential pressure acrossthe compressor to reject stall and surge while regulating the pressure at a desired value. This design presents an interesting challenge in that, when there is no mass flow through the compressor, the system looses observability | Stable Adaptive Control and Estimation for Nonlinear Systems Neural and Fuzzy Approximator Techniques. Jeffrey T. Spooner Manfredi Maggiore Raul Ordonez Kevin M. Passino Copyright 2002 John Wiley Sons Inc. ISBNs 0-471-41546-4 Hardback 0-471-22113-9 Electronic Chapter 12 Applications Overview In Chapters 10 and 11 we discussed techniques for output-feedback control of nonlinear systems both via non-adaptive and adaptive methods. In this chapter we apply these techniques to three illustrative examples. In the first example we consider the problem of controlling stall and surge in a jet engine compressor and we seek to find a controller which only employs the measurement of the differential pressure across the compressor to reject stall and surge while regulating the pressure at a desired value. This design presents an interesting challenge in that when there is no mass flow through the compressor the system looses observability. Thus the system is not uniformly completely observable and the tools presented in Chapter 10 cannot be straightforwardly applied. We show however that the dynamic projection used in Chapter 10 to eliminate the peaking phenomenon can be used here to bound the observer states away from the unobservable region of the state space. The second example considers the problem of controlling the horizontal position of a beam by using two electromagnets at its sides in the presence of an unknown force representing for example friction acting on the beam. We first solve the problem assuming that the unknown force is zero and then develop an adaptive controller to recover the closed-loop performance when the unknown force is not zero. Finally using the tools of Chapter 11 we show that a simple linear high-gain observer and control saturation allow us to define an adaptive output feedback controller. The last example of the chapter focuses on the tracking problem for a simple vertical take-off and landing VTOL aircraft model. The main challenge in .

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