不确定非线性时滞系统的鲁棒可靠控制

Robust Reliable Control for Uncertain Nonlinear Systems with Time delay

研究一类包含状态时滞的未知非线性扰动项和参数不确定性的不确定时滞系统基于状态观测器的鲁棒可靠控制问题。其中非线性满足范数有界条件 ,参数不确定性是时变的。目的是设计状态观测器和线性无记忆观测状态反馈控制器 ,使得对于任意容许的不确定性以及在系统中预先指定的执行器子集合内执行器的失效 ,相应的闭环系统渐近稳定。最后给出一个数值例子验证了所得结果的有效性。

The system under consideration involves state time-delay, parameter uncertainties and unknown nonlinear disturbances. The nonlinearities are assumed to satisfy the boundedness condition, and the parameter uncertainties are allowed to be time-varying structured. The purpose of work is to design a state observer and a linear memoryless dynamic output feedback controller such that, for all admissible uncertainties as well as actuator failures occurred among a pre-specified subset of actuators, the closed-loop system is asymptotically stable. Simulation results show that the method is very effective.