A novel adaptive switching function on fault tolerable sliding mode control for uncertain stochastic systems

• Published in: ISA transactions Vol. 53; no. 5; pp. 1528 - 1533
• Main Authors: Zahiripour, Seyed Ali, Jalali, Ali Akbar
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01.09.2014
• Subjects: Actuator degradation; Adaptive sliding-surface; Optimization strategy; Uncertain stochastic system; Optimization strategy; Actuator degradation; Uncertain stochastic system; Adaptive sliding-surface
• ISSN: 0019-0578; 1879-2022; 1879-2022
• DOI: 10.1016/j.isatra.2014.05.029

A novel switching function based on an optimization strategy for the sliding mode control (SMC) method has been provided for uncertain stochastic systems subject to actuator degradation such that the closed-loop system is globally asymptotically stable with probability one. In the previous researches the focus on sliding surface has been on proportional or proportional-integral function of states. In this research, from a degree of freedom that depends on designer choice is used to meet certain objectives. In the design of the switching function, there is a parameter which the designer can regulate for specified objectives. A sliding-mode controller is synthesized to ensure the reachability of the specified switching surface, despite actuator degradation and uncertainties. Finally, the simulation results demonstrate the effectiveness of the proposed method. •A novel switching function based on an optimization strategy has been provided.•Problem of choosing sliding surface is converted to a virtual optimal control.•The constructed sliding surface minimizes a quadratic performance index.•Increasing R may decrease ρ(t) which helps to control signal to be less aggressive.•Increasing R may help state trajectories to remain near the sliding surface.