离散H_∞全信息控制器临界参数计算

Critical Value Computation for Discrete H_∞ Full-information Controllers

离散H∞全信息控制器存在的临界条件取决于相关的Riccati方程解的存在性,因此控制器的存在条件可以由Riccati方程的临界参数γ-2opt与Hamilton差分系统一阶特征值之间的对应关系,opt确定。建立了γ-2并基于这一对应关系结合特征值计数方法给出了确定γ-2opt的算法。

The existence of a discrete H_∞ full-information controller depends on the existence of solutions of the associated Riccati equation. Therefore, the existence condition of the controller can be determined by calculating the critical value γ^(-2)_(opt) of the Riccati equation. First the correspondence between γ^(-2)_(opt) and the first order eigenvalue of a Hamiltonian difference system is presented,and then the computation procedure based on this correspondence and an eigenvalue count algorithm is proposed.