Titlebook: New Perspectives and Applications of Modern Control Theory; In Honor of Alexande Julio B.‘Clempner,Wen Yu Book 2018 Springer International

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New Perspectives and Applications of Modern Control Theory978-3-319-62464-8

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Sliding Modes for Switched Uncertain Linear Time Invariant Systems: An Output Integral Sliding Moded it compensates the matched uncertainties/perturbations after a finite transient. For this case, sufficient conditions to ensure the convergence of the controller and the observer before every switching are given. The proposed approach is illustrated via numerical simulations.

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Stability Probabilities of Sliding Mode Control of Linear Continuous Markovian Jump Systems,inequality approach, sufficient conditions are proposed to guarantee the stochastically asymptotical stability of the systems on the sliding surfaces. Extensive simulations are conducted to validate the theoretical results and show the relationship between the control force and reaching and sliding probabilities.

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