期刊
出版社
ASME
DOI: 10.1115/1.4024007
关键词
Takagi-Sugeno (T-S) fuzzy systems; H-infinity control; linear matrix inequalities; preview control; quadratic optimization
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 l(2) bounded, the H-infinity 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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