Finite-time H∞ sliding mode control for uncertain singular stochastic system with actuator faults and bounded transition probabilities. (August 2019)

• Record Type: Journal Article
• Authors: Ma, Yuechao; Liu, Yangfan
• Is Part Of: Nonlinear analysis. Volume 33(2019)
• Page Start: 52
• Page End: 75
• Publication Date: 2019-08
• Subjects: Singular stochastic H∞ finite-time bounded -- Singular Markovian jump system -- Linear matrix inequalities(LMIs) -- Sliding mode control -- Actuator fault; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2019.02.002
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the finite-time H ∞ control problem for singular Markovian jump system with actuator fault through the sliding mode control approach. Based on the observer, the augment system can be constructed with time-varying delays and actuator failure. Continuous actuator failure model is considered in this paper. Next, a sliding surface is considered under which sufficient conditions are given to make sure the augment system is singular stochastic H ∞ finite-time bounded. And the sliding mode control law is synthesized to guarantee the reachability of the sliding surface in a short time interval. The state feedback controller gain matrices and observer gain matrices are obtained by solving the relevant linear matrix inequalities. Decoupling method has been adopted for the coupled variables. Finally, simulation examples illustrate the validity of the proposed method.