Sliding Mode Control for Linear Uncertain Systems with Input and State Delays
The problem of designing sliding mode controllers for a class of linear systems with uncertainties and both input and time state delays is investigated. A particular linear transformation is defined to transform the time-delay system intoa delay-free form first. Then, the sliding mode controller is designed based on the transformed system. Optimal control theory is adopted to construct the optimal sliding manifold with a quadratic performance index minimized. The selected control law can ensure the existence of the sliding mode and alleviate chattering effectively in the sliding motion. About the uncertainties, the cases of matched condition and unmatched condition are studied respectively. Furthermore, a sufficient condition that guarantees the global asymptotic stability of the original system is derived. Finally, a numerical example is given to illustrate the proposed approach.
Sliding mode control uncertain systems time-delay systems optimal control.
Hai-Ping Pang Cheng-Ju Liu Xiang-Zhong Meng Hai-Ping Pang
College of Automation and Electronic Engineering Qingdao University of Science and Technology Qingda College of Information Science and Engineering Ocean University of China Qingdao, Shandong Province,
国际会议
2006 IEEE International Conference on Information Acquisition
山东威海
英文
1333-1338
2006-08-20（万方平台首次上网日期，不代表论文的发表时间）