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利用状态空间法可以有效地解析多输入多输出系统,但LQG控制器不能很好地处理系统误差。为了消除系统误差对控制器所带来的瑕疵,利用H-无穷最优控制方法有效地解决了对所有有界能量的输入命令和外干扰信号,使系统的最大能量误差极小化;对有界范数采用不确定性方法解析,使闭环系统稳定。H-无穷控制器的设计方法是通过为其设计动态补偿器,使得闭环系统对外部干扰起到一定的抑制作用。当外部无扰动时,补偿器仍旧可以使闭环系统处于渐进稳定状态。控制器的主要设计过程就是求一个稳定的反馈控制器K,使得闭环系统保持稳定。最后利用MATLAB仿真了H-无穷控制器的可行性。
Using state space method can effectively resolve multiple input multiple output system, but the LQG controller can not handle system error well. In order to eliminate the flaws brought by the system error to the controller, the H-infinite optimal control method can effectively solve the input commands and external interference signals for all bounded energies, minimizing the maximum energy error of the system; Demarcation number method using uncertainty analysis, the closed-loop system stability. The design method of H-infinite controller is to design a dynamic compensator for it, so that the closed-loop system can restrain external disturbance. The compensator can still keep the closed-loop system in a gradual and steady state when there is no external disturbance. The main design process of the controller is to find a stable feedback controller K, which makes the closed-loop system stable. At last, the feasibility of H-infinity controller is simulated by MATLAB.