Items related to Sliding Mode Control Using Novel Sliding Surfaces
Synopsis
The purpose of this monograph is to give a different dimension to sliding surface design to achieve high performance of the system. Design of the switching surface is vital because the closed loop dynamics is governed by the parameters of the sliding surface. Therefore sliding surface should be designed to meet the closed loop specifications. Many systems demand high performance with robustness. To address this issue of achieving high performance with robustness, we propose nonlinear surfaces for different classes of systems. The nonlinear surface is designed such that it changes the system's closed-loop damping ratio from its initial low value to a final high value. Initially, the system is lightly damped resulting in a quick response and as the system output approaches the setpoint, the system is made overdamped to avoid overshoot. The technique of using a nonlinear surface to improve performance is discussed in four chapters after introducing basic notions in the introductory chapter. To address performance objectives in sliding mode, a generalized framework for sliding surface design is presented in last two chapters for continuous and discrete time systems, based on the full order Lyapunov matrices which constitute Lyapunov- or Riccati-type inequalities. The same method ensures performance in the face of parametric uncertainty which does not satisfy the matching condition. It also enables to optimize the sliding motion by applying the guaranteed cost control idea.
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Review
From the reviews:
The main contribution of this book, i.e., introduction of the nonlinear sliding hypersurfaces, is combined with several other results recently obtained in the field of variable structure control systems. These include multi-objective sliding mode design, integral sliding mode control, composite nonlinear feedback and reaching phase elimination by the application of time-varying sliding hypersurfaces in continuous time systems. Furthermore, the use of the nonlinear sliding surfaces is combined with application of multi-rate output feedback in discrete time systems.
The results presented in this book are well worked out theoretically both for continuous and discrete time systems. They are also verified by a number of simulation case studies and laboratory experiments. Furthermore, some non-trivial extensions for the plants with saturating inputs, input delays and unmatched disturbances are also given in the text. This research monograph is of high reference value for researchers and PhD students working on various aspects of nonlinear, and in particular sliding mode control systems.
MathReviews (Reviewer: Andrzej Bartoszevicz)
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