Mode-Independent State Feedback Design For Discrete Switched Linear Systems

This paper addresses the stabilization problem of discrete switched linear systems. When the mode is available, a mode-dependent state feedback controller is developed. The main contribution of this note is to provide a less conservative approach to design the mode-independent state feedback controller where the switching mode is not accessible. Both design procedures are expressed in terms of linear matrix inequalities (LMIs). In fact, the new approach provides a family of LMI parameterized by a scalar variable which makes it useful for designing a mode-independent controller and offering an additional degree of freedom. Numerical evaluation is provided to show the effectiveness of the proposed conditions.

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