Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630490 | Applied Mathematics and Computation | 2012 | 10 Pages |
Abstract
This paper addresses the problem of robust Hâ control for a class of switched nonlinear cascade systems with parameter uncertainty using the multiple Lyapunov functions (MLFs) approach. Each subsystem under consideration is composed of two cascade-connected parts. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi equations, sufficient conditions for the solvability of the robust Hâ control problem are presented. As an application, the hybrid robust Hâ control problem for a class of uncertain non-switched nonlinear cascade systems is solved when no single continuous controller is effective. Finally, a numerical example is provided to demonstrate the feasibility of the proposed method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ben Niu, Jun Zhao,