
H∞ tracking control for a class of uncertain nonlinear systems with timedelay by using multimodel switching
 QIAN Chengshan,WU Qingxian,JIANG Changsheng,FANG Wei

J4. 2007, 42(12):
4954 .
doi:

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The design of H∞ tracking control for a class of uncertain nonlinear systems with timedelay was given using multimodel switching in the presence of uncertainty and disturbance. First, TS models with timedelay were employed to model the uncertain nonlinear system with timedelay. The inputspace was divided into multiple regions. Local TS models and controllers were designed in each region, such that the approach precision improves as the fuzzy domain decreases under constant fuzzy rules. Then, on the condition that the uncertain is gain bounded, a sufficient condition is presented for the existence of the controller, which satisfies the closedloop stability and the performance of H∞ tracking. By solving a family of linear matrix inequalities, the H∞ tracking control law was obtained. Based on Lyapunov theory, it was proven that the closedloop system has exponential stability. Finally, a region controller, which was chosen according to the selected variables by the multiplemodel switching control, was switched to the whole controller and that other controllers did not operate. The approach and control of the entire nonlinear system was therefore established.