By M Fliess; International Federation of Automatic Control
ISBN-10: 0080419011
ISBN-13: 9780080419015
This quantity represents such a lot features of the wealthy and becoming box of nonlinear keep watch over. those complaints include seventy eight papers, together with six plenary lectures, extraordinary a stability among thought and functions. topics lined comprise suggestions stabilization, nonlinear and adaptive regulate of electromechanical structures, nonholonomic structures. Generalized nation area structures, algebraic computing in nonlinear structures idea, decoupling, linearization and model-matching and strong keep an eye on also are lined.
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Additional info for Nonlinear control systems design 1992 : selected papers from the 2nd IFAC symposium, Bordeaux, France, 24-26 June 1992
Sample text
A precise result along these lines says that on an open and dense set in U x M, all trajec tories of (3) will end up in some invariant control set in finite time t(u, :i:) < oo, see [5] . In connection with Theorem 5. we conclude that control and sta bilization of (1) at Morse sets that are not maximal, is generically impossible with open loop strategies. This is the point, where an additional set of tech niques from the theory of dynamical systems turns out to be useful: Lyapunov exponents and stable, unstable, and center manifolds.
U G. an (unstable) fixed point or a. strange at- u = {:i: E M; O+(z) n D #= 0}. A(D2). In particular, if N C M is a compact, invariant set of (3), then each point z E N is in the domain of attraction of some invariant control set in N . A(D) the system (3) can be controlled to an arbitrary trajectory in int D, see again [6] for an example. The theory presented above describes the global control structure of (3) using concepts like control sets, their order, their domains of attraction, and their relation to the given dynamics (1). Nonlinear control systems design 1992 : selected papers from the 2nd IFAC symposium, Bordeaux, France, 24-26 June 1992 by M Fliess; International Federation of Automatic Control
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