Optimal sliding mode design for nonlinear discrete-time systems

Author

Dong Rui ; Shi Dong-wei

Author_Institution

Dept. of Math., Henan Inst. of Sci. & Technol., Xinxiang, China

Volume

3

fYear

2011

fDate

10-12 June 2011

Firstpage

622

Lastpage

626

Abstract

The optimal sliding mode control (OSDC) for nonlinear discrete-time systems with infinite horizon quadratic performance indexes is considered. The optimal control law for general nonlinear system with quadratic index is given in terms of solution to the HJB(Hamilton-Jocabi-Bellman) equation or the nonlinear TPBV (Two Point Boundary Problem) problem. In the optimal sliding surface designing process, this paper explores the successive approximation approach (SAA). The OSDC obtained consists of linear analytic functions and a compensation term which is a series sum of adjoint vectors. The results of the simulation show the validity of the approach mentioned.

Keywords

approximation theory; control system synthesis; discrete time systems; nonlinear control systems; optimal control; variable structure systems; HJB; Hamilton-Jocabi-Bellman equation; OSDC design; SAA; infinite horizon quadratic performance index; linear analytic function; nonlinear TPBV problem; nonlinear discrete time system; nonlinear two point boundary problem problem; optimal sliding mode control design; successive approximation approach; Equations; Manifolds; Mathematical model; Nonlinear systems; Robustness; Sliding mode control; Switches; Discrete-time Systems; Optimal Sliding Mode; Variable Structure Control; nonlinear Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-8727-1

Type

conf

DOI

10.1109/CSAE.2011.5952754

Filename

5952754