## Adaptive control and optimization techniques |

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### Contents

Basic Mathematical Background | 1 |

Performance Criteria for Optimum Design | 38 |

References | 59 |

Copyright | |

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### Common terms and phrases

accuracy adaptive control adaptive loop adaptive system adaptive-loop amplitude analysis applications approximation assumed calculus of variations changes chosen complex components Consider the system constant constraints control input Control Systems convergence corresponding defined denoted dependence determine differential equations directly discussed in Chap eigenvalues eigenvectors elements equivalent error Euler-Lagrange equation Example filter frequency Gm(s gradient identification illustrated impulse response initial integral interval IP measurement iteration Laplace transform limit cycle linear systems matrix maximum principle measurement delay methods minimize minimum modified noise nominal trajectory nonlinear obtained optimization optimum control optimum solution output Parseval's theorem performance phase margin plant possible problem procedure provides quadratic form readily relative response pattern shown in Fig solving steepest ascent steepest-ascent step input step response synthesis system described system shown terminal conditions test signal time-varying tion transfer function vector zero