Abstract
The constrained stabilization problem of switched positive linear systems (SPLS) with bounded inputs and states is investigated via the set-theoretic framework of polyhedral copositive Lyapunov functions (PCLFs). It is shown that the existence of a common PCLF is proved to be necessary and sufficient for the stabilizability of an SPLS. As a primary contribution of this paper, we propose a PCLF-based approach for stabilization with a larger estimate of the domain of attraction for the constrained SPLSs. The analysis problems are converted into optimization problems whose constraints become linear matrix inequalities when a few variables are fixed. Finally, a turbofan engine model is employed to demonstrate the potential and effectiveness of the theoretical conclusions.
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