Paper Title:
Optimal Sliding Mode Control for Linear Singualr System with Input and State Time-Delays
  Abstract

Synthetic problem of variable structure control (VSC) for linear singular system with input and state time-delays is studied. Firstly, the original system with both input and state time-delays is written into a form without time-delay by a linear transformation. Secondly, the system without time-delay is decomposed into two low dimensional subsystems by a restricted system equivalent decomposed method. Thirdly, the quadratic performance index optimal control technique is introduced to design the optimal sliding mode for the restricted equivalent subsystems. By applying reaching law approach, the selected control law ensures that the solution trajectories of the system reach the switching manifold in finite time and have low chattering in the sliding motion. Finally, a simulation example is given to illustrate the feasibility and validity of the proposed method.

  Info
Periodical
Advanced Materials Research (Volumes 317-319)
Chapter
Industrial Robotics and Automation
Edited by
Xin Chen
Pages
708-712
DOI
10.4028/www.scientific.net/AMR.317-319.708
Citation
C. C. Gao, N. Xiang, Y. L. Liu, "Optimal Sliding Mode Control for Linear Singualr System with Input and State Time-Delays", Advanced Materials Research, Vols. 317-319, pp. 708-712, 2011
Online since
August 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Jin Sheng Xing
Abstract:This paper discussed the optimal control problem on dynamic continuous systems. A two-level optimal control algorithm is proposed. It first...
1657
Authors: Ban Ying Siang, Renuganth Varatharajoo
Chapter 17: Precision Molding Processes
Abstract:The combined energy storage and attitude control system (CEACS) combines both energy storage and attitude control modules via the flywheel...
3587
Authors: Shi Yong Ma
Abstract:A new feedforward and feedback optimal control law for a class of nonlinear systems with persistent disturbances is presented in this paper....
1862
Authors: Da Zhong Wang, Shu Jing Wu, Takao Akiyama
Chapter 6: Mechatronics, Robotics, Automation and Control
Abstract:Time-delay is very often encountered in various technical systems, such as chemical processes, robotics, etc. The existence of pure time lag,...
1680