Title :
ISS and integral-ISS disturbance attenuation with bounded controls
Author :
Liberzon, Daniel
Author_Institution :
Dept. of Electr. Eng., Yale Univ., New Haven, CT, USA
Abstract :
We consider the problem of achieving disturbance attenuation in the input-to-state stability (ISS) and integral-ISS sense for nonlinear systems with bounded controls. For the ISS case we derive a “universal” formula which extends an earlier result of Lin and Sontag (1991) to systems with disturbances. For the integral-ISS case we give two constructions, one resulting in a smooth control law and the other in a switching control law. We also briefly discuss some issues related to input-to-state stability of switched and hybrid systems
Keywords :
closed loop systems; nonlinear control systems; stability; state feedback; bounded controls; disturbance attenuation; hybrid systems; integral input-to-state stability; smooth control law; switched systems; switching control law; Asymptotic stability; Attenuation; Control systems; Ear; Filling; Lyapunov method; State feedback; State-space methods;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831303
