Robust H_∞ and H_2 Linear Parametric Dynamic Systems Control

摘要

A unifying approach for multicriteria fixed-order H_∞/H_2 control for linear parametric systems is presented. The approach is based on a set of calculated full-order linear parametric controls that stabilize the dynamic system for all possible parameter trajectories. Due to the immeasurability of the task due to multiple parameters, the presented approach aims to obtain a limited set of linear matrix disparities to model multi-criterion fixed-order controls. Sufficient conditions for robustness of control are given in the form of linear matrix inequalities. The generalized approach is applied to the synthesis of robust H_∞/ H_2 control of dynamic systems with constant coefficients.