By Ian R. Petersen BE,MSEE,PhD, Valery A. Ugrinovskii PhD, Andrey V. Savkin PhD (auth.)
ISBN-10: 1447104471
ISBN-13: 9781447104476
ISBN-10: 1447111443
ISBN-13: 9781447111443
This publication offers a unified choice of vital, fresh effects for the layout of sturdy controllers for doubtful structures. lots of the effects awarded are in response to H? keep watch over conception, or its stochastic counterpart, probability delicate keep watch over theory.
Central to the philosophy of the ebook is the thought of an doubtful procedure. doubtful structures are thought of utilizing a number of various uncertainty modeling schemes. those comprise norm bounded uncertainty, essential quadratic constraint (IQC) uncertainty and a couple of stochastic uncertainty descriptions. specifically, the authors learn stochastic doubtful structures during which the uncertainty is printed by means of a stochastic model of the IQC uncertainty description.
For each one category of doubtful platforms lined within the booklet, corresponding strong keep watch over difficulties are outlined and options mentioned.
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Additional info for Robust Control Design Using H-∞ Methods
Sample text
Furthermore in this case, each constant dj can be regarded as providing a bound on the size of the initial condition on the corresponding uncertainty dynamics. In the uncertainty averaging description of structured uncertainty, we introduce sequences of uncertainty functions and it is the averaged value of the size of the initial condition on the uncertainty dynamics which is bounded by the constant dj . ) E S is assigned an equal probability. 16) amounts to a bound on the expected value ofthe quantity As mentioned above, this quantity can be regarded as providing a measure of the size of the initial conditions on the uncertainty dynamics.
1. 2 referred to as the nominal system, is a stochastic system even if there is no external noise input w(t) entering into the system. A peculiar feature of such systems is that the noise perturbations cease as the system reaches its equilibrium. In the case of systems with additive noise, the plant is subject to exogenous noise inputs such as, for example, sensor noises. Since this type of noise has an external source, there is no particular reason why its effect should cease when the plant reaches its equilibrium.
1). 3) be the uncertainty input. ) is the output. l) as follows: x(t) = Ax(t) + B1u(t) + B2~(t); z(t) = C1x(t) + D1u(t)j + D2~(t). 5) From the above definitions, it follows that although this class of uncertain systems allows for time-varying uncertain parameters and also for cone bounded memoryless nonlinearities, it does not allow for dynamic uncertainties such as might arise from unmodeled dynamics. 3. , see [137]. 6) where 4>0 : R -+ R is an uncertain nonlinear mapping. 1. 1. Uncertain system with a single nonlinear uncertainty.
Robust Control Design Using H-∞ Methods by Ian R. Petersen BE,MSEE,PhD, Valery A. Ugrinovskii PhD, Andrey V. Savkin PhD (auth.)
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