未知非线性时滞系统控制设计

Control Design of Unknown Nonlinear Delay Systems

本文以一类动态未知的时滞非线性系统为研究对象,利用步进反推设计方法给出了使该类系统能够跟踪给定参考信号的控制器.设计中采用了模糊逻辑系统来逼近未知的非线性函数,并用自适应机制同时调节模糊系统的权参数和基函数中的参数,从而不要求模糊系统的基函数事先已知.本文通过选取积分型Lyapunov函数,证明了所提出的控制方案能够保证闭环系统的稳定性和期望的跟踪精度.仿真结果进一步验证了所得结论.

In this paper, a class of nonlinear delay systems with unknown dynamics are studied, and a controller is proposed by employing stepping hackstepping design method, which can make the output of the controlled system track the given reference signal. Fuzzy logic systems are used to approximate the unknown nonlinear functions in the design, and both the fuzzy weights and the parameters in the fuzzy basis functions are adjusted by adaptive mechanism, so the fuzzy basis functions do not need to be known beforehand. By choosing integrated Lyapunov functions, we prove that the proposed controller can guarantee the closed-loop stability and the desired tracking precision. Furthermore, simulation results demenstrate the correctness of the conclusion.