Design of Variable Structure Control System With Nonlinear Time-Varying Sliding Sector

Author

Pan, Yaodong ; Kumar, K. Deepak ; Liu, Guangjun ; Furuta, Katsuhisa

Author_Institution

Dept. of Aerosp. Eng., Ryerson Univ., Toronto, ON, Canada

Volume

54

Issue

8

fYear

2009

Firstpage

1981

Lastpage

1986

Abstract

A variable structure control (VSC) algorithm is proposed with a nonlinear time-varying (NTV) sliding sector for a class of nonlinear time-variant systems represented in a state-dependent linear time-variant form. The NTV sliding sector, a subset of the state space is designed by the state-dependent differential Riccati equation (SDDRE). A VSC law is designed such that the system enters the sliding sector in finite time and a Lyapunov function candidate decreases inside the NTV sliding sector. An NTV control and a sliding mode control algorithms are proposed based on the solution of the SDDRE as well.

Keywords

Lyapunov methods; Riccati equations; control system synthesis; differential equations; linear systems; nonlinear control systems; stability; state-space methods; time-varying systems; uncertain systems; variable structure systems; Lyapunov function; globally stable; nonlinear time-varying sliding sector; parameter uncertainty; state space method; state-dependent differential Riccati equation; state-dependent linear time-variant system; variable structure control system design; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Riccati equations; Sliding mode control; Stability; State-space methods; Time varying systems; Differential Riccati equations; nonlinear system; variable structure system;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2023965

Filename

5175302