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针对一类线性不确定广义系统,研究了容许性、H∞指标和状态方差相容条件下的输出反馈控制器的设计问题.首先建立了一个使闭环广义系统满足容许性和给定H∞指标的充要条件;然后利用quasi-Newton方法,将非线性矩阵不等式的可行解问题转化为求解最大特征值的最小问题,在广义系统容许的条件下,对具有指定∞指标及相容状态方差约束的控制问题给出了满意控制设计方法,同时给出了方差约束指标的取值范围;最后,仿真结果表明了所提出方法的有效性,且更能保证系统的动态性能.
For a class of linear uncertain generalized systems, the design of output feedback controller under the condition of permissibility, H∞ index and state variance is studied.First, a method is proposed to make the closed-loop generalized system satisfy admissibility and given H∞ index Then the quasi-Newton method is used to convert the feasible solution of the nonlinear matrix inequality to the minimum problem of solving the maximum eigenvalue. Under the condition of the generalized system, the constrained constraints with the specified ∞ index and the compatible state variance The control design method is given. At the same time, the range of variance constrained index is given. Finally, the simulation results show that the proposed method is effective and can guarantee the dynamic performance of the system.