Discretization Effect on Equivalent Control-Based Multi-Input Sliding-Mode Control Systems

Author

Yu, Xinghuo ; Wang, Bin ; Galias, Zbigniew ; Chen, Guanrong

Author_Institution

Sch. of Electr. & Comput. Eng., R. Melbourne Inst. of Technol., Melbourne, VIC

Volume

53

Issue

6

fYear

2008

fDate

7/1/2008 12:00:00 AM

Firstpage

1563

Lastpage

1569

Abstract

In this paper, discretization effects on the dynamical behaviors of equivalent control based multi-input sliding-mode control systems is studied. Boundary conditions for the system steady states are established. Furthermore, properties of asymptotically convergent periodic trajectories are characterized by using new concepts of symbolic vector and symbolic vector sequence. Finally, the theoretical results are verified through the simulation study of a third-order system with two inputs.

Keywords

discrete systems; variable structure systems; vectors; discretization effect; dynamical behaviors; equivalent control-based systems; multiinput sliding-mode control systems; symbolic vector sequence; third-order system; Australia; Boundary conditions; Chaos; Control systems; Councils; Feedback; Sliding mode control; Stability; Steady-state; Switching frequency; Multi-input systems; periodic behavior; sliding mode control; stability; symbolic sequence; zero-order holder;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2008.928311

Filename

4610040