不确定广义系统的降阶H_∞控制器设计

Reduced-order H_∞ Controller Design for Uncertain Descriptor Systems

研究基于函数观测器的不确定广义系统的降阶H∞控制器设计问题.首先提出了基于严格线性矩阵不等式的不确定广义系统H∞控制的充分条件,并用于状态反馈H∞控制设计.然后对所得控制增益进行降阶观测,基于广义Sylvester矩阵方程的显式通解,考虑系统的H∞性能约束,提出了降阶输出反馈控制器的参数化设计方法.

In this paper robust reduced-order observer-based H∞ controller design for uncertain descriptor systems is investigated. Firstly, based on strict linear matrix inequalities, a sufficient condition for H∞ control of uncertain descriptor systems is proposed to design the state feedback H∞ control law. Then the control gain is used to design the reducedorder observer. Based on an explicit general solution to a class of generalized Sylvester equations, a parameterized design method is presented with the constraint of H∞ performance.