具有圆盘区域极点约束的H_∞保性能控制

Guaranteed cost H_∞ control with disk pole constraints

针对一类不确定系统,提出了具有圆盘区域极点约束的H∞保性能控制器的设计问题。该控制器将闭环系统极点配置在指定的圆盘区域内的同时,传递函数满足给定的H∞范数有界的约束,并且保证性能指标具有上界。以LMIs形式给出了状态反馈H∞保性能控制器的设计方法。最后,数值算例证明了该设计方法的有效性和可行性。

The design problem of H.： guaranteed cost controller for a class of uncertain systems with poles placed in a special disk is discussed. The controller guarantees the poles of the closed-loop system placed in a special disk and the H∞-bounded constraint on attenuation disturbances, and the system provides a guaranteed cost. The H∞ guaranteed cost controller can be obtained via LMIs. Finally, an example is given to illustrate the effectiveness and feasibility of the theory.