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Design of asymptotic second-order sliding mode control system. (English) Zbl 1414.93060

Clempner, Julio B. (ed.) et al., New perspectives and applications of modern control theory. In honor of Alexander S. Poznyak. Cham: Springer. 103-119 (2018).
Summary: A chattering-free sliding mode (SM) control system can be realized by a second-order sliding mode (2nd-SM) control based on the derivative model of the original system. In this case, the derivative of a switching function, which may be unavailable for the control implementation, is required for the finite time convergence to a 2nd-SM. In this chapter, a new asymptotic SM control algorithm, without using the derivative of the switching function, is proposed for a class of nonlinear systems, to ensure the asymptotically convergence to a 2nd-SM. The locally and asymptotic stability is guaranteed by a Lyapunov function.
For the entire collection see [Zbl 1393.93003].

MSC:

93B12 Variable structure systems
93C15 Control/observation systems governed by ordinary differential equations
93C10 Nonlinear systems in control theory
93D20 Asymptotic stability in control theory
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