H_∞ robust control of uncertain switched linear systems based on LMIs

Abstrcat The problem of H_∞ robust control for uncertain switched linear systems under arbitrary switching laws based on LMI is studied. time-varying uncertainties are contained in both state matrix and input matrix . Firstly, by constructing linear matrix inequalities via Schur complement formula, a sufficient condition of H_∞ robust stability is presented in terms of matrix inequality. Next, sufficient condition of H_∞ robust stability is given under state feedback and output feedback. These matrix inequalities can be solved easily with Matlab LMI toolbox. Finally, a numerical example illustrates the effectiveness of the method.