Chattering-Free LS-SVM Sliding Mode Control for a Class of Uncertain Discrete Time-Delay Systems with Input Saturation

• Published in: ICICTA : 2008 International Conference on Intelligent Computation Technology and Automation : 20-22 October 2008 Vol. 1; pp. 322 - 326
• Main Authors: Jianning Li, Yibo Zhang, Haipeng Pan
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.10.2008
• Subjects: Delay effects; Equations; Kernel; Least squares methods; Linear matrix inequalities; Sliding mode control; Steady-state; Support vector machine classification; Support vector machines; Transient response
• ISBN: 0769533574; 9780769533575
• DOI: 10.1109/ICICTA.2008.130

Least squares support vector machine (LS-SVM) classifiers are a class of kernel methods whose solution follows a set of linear equation. In this work, a least squares support vector machine sliding mode control (LS-SVM-SMC) strategy is presented for uncertain discrete time-delay system with input saturation. An equivalent matrix is constructed for input saturation condition in the scheme. Output of LS-SVM is used for replacing sign function of the reaching law intraditional sliding mode control (SMC). Combined LS-SVMSMC with linear Matrix Inequalities (LMIs), a chattering free SMC algorithm is applied in uncertain discrete time delay systems with input saturation. The feasibility and effectiveness of the LS-SVM-SMC scheme are demonstrated via numerical examples. As a result, compared with conventional SMC, LS-SVM-SMC is able to achieve the desire transient response with input saturation. And there is no chattering in steady state while unmatched parameter uncertainty exists.