Frequency data based switched controller design

Abstract

The paper deals with two frequency domain versions of stability conditions for switched control systems equivalent with the quadratic Lyapunov function construction. The first FD stability condition is Small Gain Theorem-based, the second one evolves from the relation between quadratic stability and Strictly Positive Realness properties An original switched controller SGT-based design technique is presented and applied to design a switched controller for a simple two-model SISO plant. Fulfilment of the both switched stability conditions is verified, and benefits and drawbacks resulting from their usage are compared.