Control design for discrete-time fuzzy systems with disturbance inputs via delta operator approach
Journal article, Peer reviewed
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Original versionZhou, Qi, Gao, Yabin, Li, Hongyi, & Karimi, Hamid Reza. (2013). Control design for discrete-time fuzzy systems with disturbance inputs via delta operator approach. Mathematical Problems in Engineering, 2013, 1-13. doi: 10.1155/2013/724918 10.1155/2013/724918
This paper is concerned with the problem of passive control design for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay and disturbance input via delta operator approach. The discrete-time passive performance index is established in this paper for the control design problem. By constructing a new type ofLyapunov-Krasovskii function (LKF) in delta domain, and utilizing some fuzzy weighing matrices, a new passive performance condition is proposed for the system under consideration. Based on the condition, a state-feedback passive controller is designed to guarantee that the resulting closed-loop system is very-strictly passive. The existence conditions of the controller can be expressed by linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the proposed method.
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher: http://dx.doi.org/10.1155/2013/724918 Open Access