周期时变不确定性线性系统的MINIMAX控制方法

MINIMAX CONTROL APPROACH TO PERIODICALLY TIME-VARYING UNCERTAIN LINEAR SYSTEMS

应用约束最优化方法和微分对策理论 ,讨论周期时变不确定性线性系统在范数有界外部干扰情况下的 MINIMAX控制和参数摄动情况下的 MINIMAX控制 .问题可解的充分条件是一类 Riccati微分方程具有稳定化解 ,且关于最坏扰动的某个附加条件满足相应的 MINI-MAX控制恰为一个线性状态反馈 .此外 。

Resorting to the bounded optimization method and the differential game theory, the paper deals with the minimax control problems of periodically time varying linear system with norm bounded exogenous disturbance and the system with parameter perturbation. The sufficient conditions for the solubility are that some Riccati differential equation admits a stabilizing solution, some additional condition about the worst disturbance or perturbation is satisfied, and the minimax control (if exists) turns out to be a linear state feedback. Moreover, the guarantee value of cost functional for the closed loop system is presented.