Robust stabilization of switched positive linear systems with uncertainties

摘要

This paper investigates the robust stabilization of a class of switched positive linear systems. The uncertainties of system models refer to the interval and polytopic uncertainty. By using the multiple linear copositive Lyapunov functions approach and linear programming approache, the robust stabilization of those systems in the autonomous form with uncertainties is studied. Further, the control synthesis of those systems in the non-autonomous form with uncertainties is addressed. Finally, a simulating example illustrates the validity of the design.