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Titlebook: Variable Structure and Lyapunov Control; Alan S. I. Zinober Book 1994 Springer-Verlag Berlin Heidelberg 1994 algebra.control.control syste

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Sliding mode control in discrete-time and difference systems,stems. In the first studies, control algorithms intended for continuous- time systems were applied to discrete-time problems; resulting in chattering since the switching frequency can not exceed that of sampling. Then methods for reducing chattering were developed in many publications..However, the
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The role of morse-Lyapunov functions in the design of nonlinear global feedback dynamics,ch, by first specifying an equivalence class of desirable control dynamics that we hope to achieve, makes the controllability problem easier to address. For most points in state space it is seen that the controllability problem is trivially verified (relative to some arbitrary Morse function). The r
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Polytopic coverings and robust stability analysis via Lyapunov quadratic forms,f robust stability analysis of linear systems subject to uncertain time-varying parameters. After a review of the existing literature we have proposed an algorithm which works under quite general assumptions..Future research will be devoted to extending the class of functions for which the proposed
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Model-following VSC using an input-output approach,use of a discontinuous control law within a control structure inherited from classical adaptive control schemes and simplified, since its complexity turns out to be independent of the relative degree of the plant to be controlled..The structure of the linear scheme corresponding to the ideal case of
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Combined adaptive and Variable Structure Control,esented. New algorithms have been developed both for the case where the state vector is available for measurement, and for SISO plants using input/output measurements only. The adaptive algorithms are driven by the tracking and the prediction error. The design is based on a new form of the Lyapunov
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Book 1994robust control of uncertain systems. In direct contrast to most adaptive controllers, these deterministic controllers employ fixed nonlinear feedback control functions, which operate effectively over a specified magnitude range of system parameter variations and disturbances. There are 18 chapters c
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