不确定离散广义系统的D稳定鲁棒非脆弱可靠控制

摘要

针对不确定离散广义系统，研究系统在控制器失效情况下的D稳定鲁棒非脆弱控制问题。根据D稳定条件，给出广义离散系统在系统参数不确定的情况下D稳定控制;研究在参数不确定和执行器故障的情况下离散广义系统的D稳定鲁棒可靠控制和D稳定鲁棒非脆弱可靠控制，保证在控制器失效的情况下，系统仍然能满足一定的性能指标。通过求解线性矩阵不等式(LMI)，给出设计D稳定鲁棒非脆弱可靠控制器的方法。仿真结果证明了设计的有效性。%The robust non-fragile reliable controller was designed for a discrete singular system with the D-stability. A controller was studied to make the uncertain discrete singular system stable by the condition of the D-stable, and the reliable controller and the non-fragile reliable controller were designed to satisfy D-stable for an uncertain singular discrete system. The non-fragile reliable controller can make the system regular, causal and D-stable with actuator failures by the LMI approach. The results show the effectiveness of the proposed design procedures.