Titlebook: Advances in Variable Structure and Sliding Mode Control; Christopher Edwards,Enric Fossas Colet,Leonid Frid Book 2006 Springer-Verlag Berl

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Finite-Time Stability and Stabilization: State of the Art,Researchers have studied asymptotic stability since its emergence at the end of the 19. and the beginning of the 20. century with the fundamental theorem of Lyapunov in [18]. A survey on this can be found in [3].

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Higher-Order Sliding Mode Approaches for Control and Estimation in Electrical Drives,In the last two decades the theory of variable structure control (VSC) with sliding modes (SM) [1–4] has been applied in the field of electrical drives [5, 6], principally due to the robustness and high dynamic performance of the resulting schemes.

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Extended Invariance Principle and Other Analysis Tools for Variable Structure Systems,iterature on this subject includes numerous monographs and papers such as [2, 6, 9, 13, 15, 20, 30, 32], to name a few, these systems are far from being fully understood. In the present chapter, analysis tools for VSS’ are developed within the framework of methods of non-smooth Lyapunov functions wi

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Multi-Input Sliding Mode Control Uncertain Nonlinear Systems Through Simplex Methods,uncertain systems is far from simply being a generalization of the standard single input variable structure control (VSC) approach, except for the case in which the uncertainties, though affecting the system model, do not appear in the control matrix, and this latter is invertible. In the case in wh

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Variable Structure Control Systems using Sectors for Switching Rule Design, sliding mode, where the reduced order system is stable, in finite time and remain there by switching the system structure. Theoretically, the frequency of the switching should be infinite to ensure the stability of the VS control system. Due to chattering phenomena introduced by a finite switching

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