线性不确定系统多目标鲁棒保代价控制

针对一类线性范效有界不确定系统，讨论其多目标鲁棒保代价控制问题，所设计的状态反馈控制器对所有容许的不确定性，保证闭环系统的稳定性，并在非劣(Pareto最优)的意义下，优化多目标代价函数的上界，通过加权因子的选择来解决不同目标之问的竞争问题，采用线性矩阵不等式方法，将问题转化为一个线性凸优化算法，数值仿真算例说明了所提出方法的可解性和有效性。

Multi-objective robust guaranteed cost control of linear uncertain systems

A multi-objective robust guaranteed cost controller is designed for a class of linear norm-bounded uncertain systems. The designed state feedback controller guarantees the stability of the closed-loop system, and in noninferior (equivalently Pareto optimal) sense, optimizes the upper bound of multi-objective cost function for all admissible uncertainties. By selecting a vector-valued weighting parameter appropriately, the confliction among competing objectives is settled. The problem is reduced to a linear convex optimization algorithm via LMI approach. Numerical simulation example shows the feasibility and effectiveness of the method.