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

Volume

4

fYear

2001

fDate

2001

Firstpage

3784

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980453

Filename

980453