Technical Briefs

Optimal H-Based Linear-Quadratic Regulator Tracking Control for Discrete-Time Takagi–Sugeno Fuzzy Systems With Preview Actions

[+] Author and Article Information
Hui Zhang

Center for Automotive Research,
Department of Mechanical and Aerospace Engineering,
The Ohio State University,
930 Kinnear Road,
Columbus, OH 43212
e-mail: huizhang285@gmail.com

Yang Shi

e-mail: yshi@uvic.ca

Bingxian Mu

e-mail: bxmu@uvic.ca
Department of Mechanical Engineering,
University of Victoria,
P.O. Box 3055, STN CSC,
Victoria, BC, V8W 3P6, Canada

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT AND CONTROL. Manuscript received January 23, 2012; final manuscript received March 7, 2013; published online May 13, 2013. Assoc. Editor: Qingze Zou.

J. Dyn. Sys., Meas., Control 135(4), 044501 (May 13, 2013) (5 pages) Paper No: DS-12-1029; doi: 10.1115/1.4024007 History: Received January 23, 2012; Revised March 07, 2013

This paper investigates the optimal tracking control problem for discrete-time Takagi–Sugeno (T–S) systems. The control signal has three components: preview control for the previewable reference signal, integral control for the tracking error, and the state-feedback control for the plant. The optimization objective is a quadratic form of the tracking error and the control signal. By using the augmentation technique, the tracking controller design problem is converted into a design problem of the state-feedback controllers for augmented T–S fuzzy systems. The quadratic optimization objective is equivalent to the two-norm (in fact, the square of the two-norm) of a controlled output. Assuming that the external inputs of the augmented systems are l2 bounded, the H performance index is employed to investigate and optimize the controller design. The controller gains can be obtained by solving a sequence of linear matrix inequalities (LMIs). An example on electromechanical system shows the efficacy of the proposed design method.

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Grahic Jump Location
Fig. 1

Scheme of tracking control with preview and integral compensation




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