Title :
ISS control laws for stabilizable retarded systems by means of the Liapunov-Razumikhin methodology
Author :
Pepe, Pierdomenico
Author_Institution :
Dipt. di Ing. Elettr., Univ. degli Studi dell´´Aquila, L´´Aquila
Abstract :
A disturbance adding to the control law is a typical situation in practice because of actuator errors. In this paper, state feedback control laws which provide input-to-state stability of the closed loop system with respect to a disturbance adding to the control law are investigated for state feedback stabilizable (in the case of disturbance equal to zero) retarded nonlinear systems. The formulas for the input-to-state stabilizing state feedback control law are provided by employing the Liapunov-Razumikhin methodology. An example taken from the past literature is investigated in details, showing the effectiveness and the applicability of the proposed control design.
Keywords :
Lyapunov methods; closed loop systems; input-output stability; nonlinear control systems; state feedback; Liapunov-Razumikhin methodology; closed loop system; input-to-state stability; retarded nonlinear system; state feedback control; Actuators; Asymptotic stability; Closed loop systems; Control design; Control systems; Delay; Error correction; Nonlinear control systems; Nonlinear systems; State feedback; Input-to-State Stabilizability; Liapunov-Krasovskii Methodology; Liapunov-Razumikhin Methodology; Retarded Nonlinear Systems;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4587333
