Lur'e系统镇定问题的非线性控制器设计

本语文研究了用Ｌｕｒ‘ｅ多非线性系统描述的被控对象的镇定问题，把问题的可解笥归结到特殊的多线性矩阵不等式的的可解性，非线笥状态反馈和输出反馈控制器的设计分别依赖于一个双线性和三个三线性矩阵不等式的解，给出了基于线性矩阵不等式的交替寻优算法的设计步骤。

Nonlinear Controller Design for Absolute Stabilization Control Problems*

This paper discusses the absolute stabilization problem for Lur'e systems with multiple nonlinear loops in terms of state-space approach. Solvability conditions are presented to design nonlinear controllers such that the closed-loop system is absolutely stable via the algebraic matrix inequality (AMI) approach. It is shown that feedback controllers exist if and only if a class of special multilinear matrix inequalities (MLMIs) are solvable. Also, the AMI-based design method obtained in this paper is simplified so as to be computationally feasible and tractable. The approach can be generalized to deal with other problems such as H2,H∞ and dissipation control problem.