Adaptive fuzzy control for non‐strict‐feedback stochastic uncertain non‐linear systems based on event‐triggered strategy

Abstract

Abstract This paper investigates the issue of adaptive fuzzy control for a category of non‐strict‐feedback stochastic uncertain non‐linear systems. Based on event‐triggered mechanism, an adaptive fuzzy controller with a simple form is designed by combining backstepping technique with fuzzy logic system. The devised controller not only ensures the output signal tracking reference signal and all signals of the closed‐loop system are bounded in probability but also reduces the communication load between controller and actuator. In addition, the feasibility of the considered event‐triggered mechanism is guaranteed by eliminating Zeno behaviour. Finally, the validity of the proposed result is proved by an example.

Keywords

• Other topics in statistics
• Linear control systems
• Control system analysis and synthesis methods
• Stability in control theory
• Self-adjusting control systems
• Fuzzy control