Title :
A simple design for the stabilization of a class of cascaded nonlinear systems with bounded control
Author :
Kaliora, Georgia ; Astolfi, Alessandro
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK
Abstract :
The stabilization problem for a class of nonlinear cascaded systems is solved using bounded control. It is shown that global asymptotic stability (GAS), local exponential stability (LES) and input to state stability (ISS) with nonzero restrictions of a stable cascade can be achieved via a simple static partial state feedback having bounded amplitude. A new class of stabilizing control laws for a chain of integrators and for general null-controllable linear systems with input saturation is also proposed
Keywords :
cascade control; nonlinear control systems; stability; state feedback; bounded amplitude; bounded control; cascaded nonlinear systems; global asymptotic stability; input saturation; integrators; local exponential stability; nonzero restrictions; null-controllable linear systems; stabilization; state stability; static partial state feedback; Asymptotic stability; Control systems; Design engineering; Educational institutions; Feedforward systems; Nonlinear control systems; Nonlinear systems; Partial differential equations; Scholarships; State feedback;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980453
