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Basic Mathematical Background
Performance Criteria for Optimum Design
Analyticaldesign Techniques for Fixed
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accuracy adaptive control adaptive loop adaptive systems adaptive-loop analysis analytical applications approximation assumed calculus of variations changes chosen complex components Consider the system constant constraints control input convergence cross correlation defined denoted dependence determine directly discussed in Chap eigenvalues eigenvectors elements error even-function IP example filter frequency Gm(s gradient identification illustrated impulse response initial integral interval IP measurement IP surface iteration Laplace transform limit cycle linear systems matrix maximum principle measurement delay methods minimize minimum modified noise nonlinear obtained odd-function IP operation optimization optimum control optimum solution output parameter setting Parseval's theorem performance perturbation phase margin plant possible problem procedure provides quadratic form readily relative response pattern sequence shown in Fig solving steepest-ascent step input step response synthesis techniques terminal conditions test signal time-varying tion transfer function vector x(tf zero