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Titlebook: Sliding Modes after the first Decade of the 21st Century; State of the Art Leonid Fridman,Jaime Moreno,Rafael Iriarte Book 2012 Springer Be

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Sliding Mode Enforcement after 1990: Main Results and Some Open Problemss we have made as a community during the last twenty years after VSS90 as well as which problems still remain open. Of course, generally I will concentrate the chapter on results in open problems I have discovered working with my group and coauthors.
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Finite-Time Stability and High Relative Degrees in Sliding-Mode Controlthe chattering effect are removed artificially increasing the relative degree. Parameters of the controllers and differentiators can be adjusted to provide for the needed convergence rate, and can be also adapted in real time. Simulation results and applications are presented in the fields of control, signal and image processing.
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Lyapunov Approach for Analysis and Design of Second Order Sliding Mode Algorithmss. The reason for this situation is simple: only recently has been possible to find adequate Lyapunov functions for some of these algorithms. In this paper some recent advances in this direction will be presented and extended.
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0170-8643 research groups working on the field of Variable Structure .The book presents the newest results of the major world research groups working in the area of Variable Structure Systems and Sliding Mode Control (VSS/SMC). The research activity of these groups is coordinated by the IEEE Technical Commit
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Book 2012SS/SMC). The research activity of these groups is coordinated by the IEEE Technical Committee on Variable Structure Systems (VSS) and Sliding Modes (SM). The presented results include the reports of the research groups collaborating in a framework of the Unión European Union – México project of Fond
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Discussion about Sliding Mode Algorithms, Zeno Phenomena and Observabilityied, and some simulations are given to highlight the discussion. Lastly, the two tanks example is given in order to point out the differences between both Zeno phenomena types, to show that there is life after Zeno and that a higher order sliding mode observer can be efficient before, during and after both Zeno phenomena types.
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