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H control of switched homogeneous nonlinear systems — Semi-tensor product of matrices method

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2 Author(s)
Lijun Zhang ; College of Automation, Harbin Engineering University, 150001, China ; Kuize Zhang

This paper investigates the problems of L2 stability and H control problem of a class switched homogeneous nonlinear system via the semi-tensor product (STP) of matrices method. First, a homogeneous Lyapunov-like function in the form of STP is constructed. Based on this, the system in question is limited on to the unit sphere to be investigated, a switching law is designed to make sure that the normal system that is globally asymptotically stable is globally L2 stable either. By the former Lyapunov-like function and the designed switching law, the H control problem of the considered system is reduced into a Riccati-like one via the STP of matrices method, thus a control law similar to that of linear system is designed.

Published in:

Proceedings of the 29th Chinese Control Conference

Date of Conference:

29-31 July 2010