具有执行器故障的非线性系统可靠控制设计

摘要

The problem of reliable control of discrete-time nonlinear systems with actuators faults was studied via developing a reliable controller based on the Takagi-Sugeno fuzzy model.As those existing reliable controllers are based on the parallel distributed compensation,the one given in this paper is with special control structures named as non-parallel distributed compensation.Therefore,more control gain matrices are introduced and the conservatism of existing results is reduced.Moreover,a method for introducing free matrix variables was also proposed in the proof of our main result,and hence the conservatism of the obtained results could be further reduced.Finally,the effectiveness of the proposed method is illustrated by means of a numerical experiment.%针对具有执行器故障的离散时间非线性系统控制设计问题，提出一种基于 Takagi-Sugeno模糊模型的可靠控制器设计方案。与常规的基于并联分布补偿技术的模糊可靠控制器相比，所设计的基于非并联分布补偿技术的可靠控制器具有特殊的控制架构，可引入更多控制增益矩阵变量，从而降低已有结果的保守性。此外，还提出了一种自由矩阵变量技术，能进一步减少所得结果的保守性。仿真实验验证了设计方法的有效性。