Robust H2 control for uncertain continuous-time switched linear systems

This paper investigates the problem of robust H₂ state-feedback control design for continuous-time switched linear systems with polytopic uncertainties. An LMI-based robust H₂ control synthesis approach is proposed via multiple parameter-dependent Lyapunov functions and average dwell time technique. The proposed parameter-dependent Lyapunov function approach potentially is less conservative than the parameter-independent Lyapunov function approach which is also given for comparison. A numerical example is given to illustrate the effectiveness of the proposed method.