access icon free Feedback control for switched positive linear systems

This study investigates the feedback control for a class of switched positive linear systems (SPLSs). By means of the linear programming approach, output-feedback and state-feedback controllers for the underlying systems with average dwell time are designed, respectively. Under these controllers, the closed-loop systems are positive and asymptotically stable. These results obtained provide a way to solve the control synthesis problems of SPLSs by multiple linear copositive Lyapunov functions. Finally, an example is given to illustrate the validity of the present design.

Inspec keywords: linear programming; time-varying systems; control system synthesis; closed loop systems; Lyapunov methods; asymptotic stability; state feedback; linear systems

Other keywords: state-feedback controller; SPLS; closed-loop systems; output-feedback controller; average dwell time; asymptotic stability; multiple linear copositive Lyapunov functions; positive stability; switched positive linear systems; linear programming approach

Subjects: Time-varying control systems; Stability in control theory; Control system analysis and synthesis methods; Optimisation techniques

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