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학술지 Parameterized Luenberger-Type H∞ State Estimator for Delayed Static Neural Networks
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저자
진용식, 권우경, 이상문
발행일
202207
출처
IEEE Transactions on Neural Networks and Learning Systems, v.33 no.7, pp.2791-2800
ISSN
2162-237X
출판사
IEEE
DOI
https://dx.doi.org/10.1109/TNNLS.2020.3045146
협약과제
20ZD1100, 대경권 지역산업 기반 ICT 융합기술 고도화 지원사업, 문기영
초록
This article proposes a new Luenberger-type state estimator that has parameterized observer gains dependent on the activation function, to improve the $H_{\infty }$ state estimation performance of the static neural networks with time-varying delay. The nonlinearity of the activation function has a significant impact on stability analysis and robustness/performance. In the proposed state estimator, a parameter-dependent estimator gain is reconstructed by using the properties of the sector nonlinearity of the activation functions that are represented as linear combinations of weighting parameters. In the reformulated form, the constraints of the parameters for the activation function are considered in terms of linear matrix inequalities. Based on the Lyapunov-Krasovskii function and the improved reciprocally convex inequality, enhanced conditions for designing a new state estimator that guarantees $H_{\infty }$ performance are derived through a parameterization technique. The compared results with recent studies demonstrate the superiority and effectiveness of the presented method.
KSP 제안 키워드
Activation function, Linear Matrix Inequalities(LMIs), Linear combination, Lyapunov-Krasovskii function, Matrix inequality, Observer gains, Sector Nonlinearity, Stability analysis, State estimator, Static neural networks, Time-varying delay