Title :
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
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;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952754
