Output Regulation of Linear Switched Systems with State Constraints via Mode-dependent Switching Method

The output regulation problem of linear switched systems with state constraints is investigated. Both static state feedback law and error feedback law are designed to addressed switched linear systems with state constraints. Sufficient conditions are established in terms of the mode-dependent average dwell-time (MDADT) method. The conditions ensuring the solvability of the problem for state-constraint linear switched systems are presented in the form of linear matrix equations. The validity of the results are demonstrated by two numerical examples.