Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7113676 | European Journal of Control | 2018 | 8 Pages |
Abstract
In this paper, the guaranteed cost control problem is investigated for a general class of discrete-time uncertain nonlinear systems with mixed time-delays. The mixed time-delays under consideration comprise both the discrete and the distributed delays. By using the completing-the-square technique, the discrete and distributed time-delays are handled in a unified framework. Then, by constructing an appropriate Lyapunov functional, a sufficient condition is established under which the closed-loop control system is stable and an adequate performance index is guaranteed over all admissible uncertainties as well as mixed time-delays. Based on the sufficient condition, the nonlinear cost-guaranteed controller is designed and an explicit expression of the controller parameter is obtained. Finally, a numerical simulation example is presented to demonstrate the effectiveness and applicability of the results derived.
Keywords
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Bo Shen, Zidong Wang, Hailong Tan,