一类SISO非严格反馈非线性系统的自适应模糊有限时间容错控制

Fuzzy Adaptive Finite Time Tolerance Control for a Class of SISO Nonlinear Non-strict Seedback Systems

基于自适应模糊控制和非线性容错控制理论,讨论了一类非严格反馈结构非线性系统的有限时间容错控制问题。在整个控制设计中,系统未知非线性动态通过模糊逻辑系统进行辨识,在反演设计和有限时间设计理论框架下,构造性地设计出了实际容错控制器和相应的参数更新律。在李雅普诺夫第二稳定理论意义下,严格证明了受控系统的半全局实际有限时间稳定性质,实现了有限时间跟踪控制目标。一个三阶数值系统进一步验证了该控制策略的可行性。

This paper investigates the problem of finite-time adaptive fuzzy fault-tolerant control for a class of non-strict feedback nonlinear system. In the whole control design process,unknown nonlinear dynamics of the controlled system are identified by fuzzy logic systems, in the framework of backstepping design and finite-time design theory, the practical fault-tolerant controller and the corresponding parameter updating laws are designed. In the sense of Lyapunov’s second stability theory, the semi-global practical finite time stability(SGPFS) of the controlled system is strictly proved, and the finite time tracking control goal is achieved. A third-order numerical system further verifies the feasibility of this control strategy.