MIMO系统的性能鲁棒控制问题

The Performance Robustness Control of MIMO Systems

初步研究了多变量离散系统以灵敏度函数的ｌ￣１范数为性能指标的性能鲁棒控制问题。证明了严格因果系统在达到了最佳稳定鲁棒的同时也达到了最佳性能鲁棒；对ｌ￣１最佳稳定鲁棒问题给出了求解方法及证明。

The object of the robust control theory is to provide a quantitative approach to controllerdesign in order to achieve stability and performance robustness in the presence of model un-certainty. The design of a control system with performance robustness for MIMO discrete-time systems with l1 norm of sensitivity function as performance criterion is preliminarilystudied.It is proved that if a strictly causal system is of optimal performance robustness,itwill also be of optimal stability robustness,A method for obtaining a controller with optimall1 stability robustness and its proof are given.