Nonlinear H_∞ Control of Switched Homogeneous Nonlinear Systems
【摘要】:In this paper,the problem of L2 stability and H∞ control of switched homogenous systems is addressed.Based on the homogenous properties of the systems,the considered systems are limited to a unit sphere for investigation.First of all,the problem of L2 stability of the switched homogeneous systems is discussed via a designed switching law under the absence of control items,it is shown that,similar to linear case,the stability of normal systems implies to L2 stability under a given switching law.Then H∞ control problem of switched homogeneous systems is investigated.Similar to Algebraic Riccati Inequality for H∞ control of switched linear systems,a condition for global control laws to solve H∞ control problem is obtained for the switched homogeneous nonlinear systems,which are preferable and easier verified compared to the existing results for switched nonlinear systems.