Stable Adaptive SystemsExplores fundamental concepts in adaptive control systems, with particular emphasis on their stability properties. Starting from basic systems, the theory is developed in stages for adaptive observers and controllers. Case studies of international applications are also included. |
Contents
Stability Theory | 42 |
Simple Adaptive Systems | 99 |
Adaptive Observers | 140 |
Copyright | |
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Common terms and phrases
adaptive control problem adaptive law adaptive observer adaptive systems ap(t assumed asymptotically stable augmented error Automatic Control boundedness c₁ Chapter chosen control input control parameters convergence coprime defined derivative described determine differential equation discussed disturbances dynamical system e₁ e₁(t equilibrium error equation error model estimate exists exponentially feedback follows given Hence Hermite normal form Hurwitz polynomial initial conditions input-output known kp(t Lemma linear systems linear time-invariant linear time-invariant system Lyapunov function method Narendra output error overall system parameter error parameter vector persistently exciting plant parameters polynomial positive-definite matrix proof proper transfer function reference input reference model relative degree satisfies scalar Section shown in Fig signals Simulation solutions of Eq stable matrix t₁ tend to zero Theorem time-varying Transactions on Automatic uniform asymptotic stability uniformly bounded values Wm(s Wp(s xp(t ym(t yp(t Ур