Nonlinear Controller Design for Absolute Stabilization Control Problems
Guo Lei
Zang Minglei
Feng Chunbo
Abstract：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.
Keywords：nonlinear systemstabilizationLur'e systemabsolute stabilityalgebraic matrix inequality
Publication Date：1999-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)