Finite-time filtering design with past output measurements for interval type-2 fuzzy systems: a descriptor approach. (English) Zbl 1537.93758
Summary: This paper is interested in the design of full-order \(H_\infty\) memory filters for discrete-time nonlinear systems within finite-time domain. First, the investigated nonlinear systems are modeled by a Takagi-Sugeno fuzzy technique for the interval type-2 case. And to reduce the size of the model, only the past measurements of systems are involved during the memory filters construction. Then, novel design processes with less conservatism are proposed through executing a decoupling transformation for the filtering error dynamics. Based on Lyapunov methods together with several strategies that apply convex optimization techniques and slack variables, some sufficient conditions are presented and certified to solve the memory filter parameters, such that the augmented error dynamics are singular finite-time bounded with prescribed \(H_\infty\) performance. Finally, an example is introduced to illustrate the effectiveness of the proposed strategy in contrast to existent works.
MSC:
| 93E11 | Filtering in stochastic control theory |
| 93C42 | Fuzzy control/observation systems |
| 93B36 | \(H^\infty\)-control |
| 93C55 | Discrete-time control/observation systems |
| 93C10 | Nonlinear systems in control theory |
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