Robust Control Design Using H_infinity Methods - download pdf or read online

By Ian R. Petersen, Valery A. Ugrinovskii, Andrey V. Savkin

ISBN-10: 1852331712

ISBN-13: 9781852331719

It is a unified number of very important contemporary effects for the layout of strong controllers for doubtful platforms, based mostly on H8 keep an eye on conception or its stochastic counterpart, probability delicate regulate thought. useful functions are used to demonstrate the equipment all through.

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2. 20 2. 2 Uncertain systems with norm-bounded uncertainty We now formally define a class of uncertain systems with norm-bounded timevarying uncertainty. 1) where x(t) E Rn is the state, u(t) E Rm is the control input, y(t) E R' is the measured output, and A(t) E Rpxq is a time varying matrix of uncertain parameters satisfying the bound A(t)' A(t) < I. 2) Also in the above equations, A, Blo B 2, C1, C2, D1 and D2 are matrices of suitable dimensions. 1). 3) be the uncertainty input. ) is the output.

A feature of this robust control problem is that a single controller is required to give adequate tracking performance over a range of flight conditions corresponding to different values of mass, speed and altitude. The given data in this problem is a finite collection of plant models for the missile corresponding to different flight conditions. A total least squares approach is taken to fit the data to a norm-bounded uncertain system model. 5, is applied to allow for the presence of uncertainty.

Elements of B are also called admissible probability measures. 10) is a Wiener process on (0, F, Q). s. unique nonnegative random variable ((w) defined as follows: dQ(w) = ((w)dP(w). 4 Stochastic uncertain systems 39 It is evident that E( < 00. We now define a stochastic process for t E [0, T], where the conditional expectations are chosen so that the process ((t) has right continuous trajectories. 1 of [117]. Then (((t), :Ft ) is a martingale with right continuous trajectories such that sup EI((t)1 < 00 tE[O,Tj and E((O) = l.

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Robust Control Design Using H_infinity Methods (Communications and Control Engineering Series) by Ian R. Petersen, Valery A. Ugrinovskii, Andrey V. Savkin


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