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This paper develops a method of fuzzy observer-based H∞ reliable controller design for two-dimensional (2-D) discrete Takagi-Sugeno (T-S) fuzzy systems. The LMI-based conditions are proposed to guarantee an H∞ noise attenuation 7 of the whole system under both normal operation and in the presence of some actuator faults. Owing to the introduction of free matrices, the presented design method has a...
This paper investigates the fault detection observer design problem in finite frequency domain for two-dimensional (2-D) continuous systems in Roesser model. By the generalized KYP lemma, convex design conditions are obtained, which are expressed in terms of linear matrix inequalities (LMIs). An illustrative example is provided to demonstrate the feasibility and effectiveness of the proposed method.
This paper is concerned with the problem of the two-channel 2-D IIR filter bank design. Using a systematic optimization approach, which is solved in terms of an LMI, the 2-D IIR synthesis filters are designed such that the systems are alias free and then optimized to achieve approximate perfect reconstruction.
The problem of non-fragile H∞ filter design for two-dimensional (2-D) discrete systems in Fornasini-Marchesini model with polytopic uncertainties is considered in this paper. The filters to be designed are assumed to be with additive norm-bounded gain variations. By using the technique of imposing a structural restriction on the slack matrix, we present a simple and yet effective method for designing...
Approximately linear phase FIR filters with reduced group delays are desirable in certain applications. Conventional design methods indirectly achieve the desired group delay by approximating the complex frequency response, resulting in large group delay error, especially at the vicinity of the band edge. A new design method based on semidefinite programming is proposed. An explicit expression for...
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