전반부 불일치 조건에서의 불확실한 시스템의 상태 추정을 위한 샘플데이터 퍼지 관측기 설계

다국어 초록 (Multilingual Abstract)

In this paper, we propose a sampled-data fuzzy observer design technique for estimating the state variables of a nonlinear system with model uncertainty. It is assumed that the IF-THEN rules of the fuzzy system contains immeasurable premise variables, which complicates the observer design. In this paper, the observer is assumed not to share the same premise part with that of the system in order to deal with the immeasurable premise condition. After then, the error between the observer and the system including model uncertainty is represented by the Takagi-Sugeno (T-S) fuzzy model. In order to minimize the impact of imperfect premise matching, model uncertainty, and disturbances on the state estimation, an H∞ performance criterion is defined. Based on the fuzzy Lyapunov function, we derive a sufficient condition in the form of linear matrix inequality to ensure that the error dynamics is asymptotically stable and satisfy the H∞ condition. Finally, a simulation example verifies the superiority of the proposed method.

목차 (Table of Contents)

• Abstract
• 1. 서론
• 2. 문제 제기
• 3. 주요 결과
• 4. 시뮬레이션 예제
• 5. 결론
• References

참고문헌 (Reference)

1 D. W. Kim, "Theoretical justifi-cation of approximate norm minimization method for intel-ligent digital redesign" 44 (44): 851-856, 2008

2 N. Gunasekaran, "Stochastic sampled-data controller for T S fuzzy chaotic systems and its applications" 13 (13): 1834-1843, 2019

3 X. L. Zhu, "Stabilization for sampled-data neural-network-based control systems" 41 (41): 210-221, 2011

4 H. J. Lee, "Sampled-data observer-based output-feedback fuzzy stabilization of nonlinear systems : Exact discretetime design approach" 201 : 20-39, 2012

5 H. J. Kim, "Sampled-data H∞ fuzzy observer for uncertain oscillating systems with immeasurable premise variables" 7 : 58075-58085, 2018

6 김한솔, "Sampled-data Fuzzy Observer Design for an Attitude and Heading Reference System and Its Experimental Validation" 대한전기학회 12 (12): 2399-2410, 2017

7 M. K. Song, "Robust stabilization for uncertain Markovian jump fuzzy systems based on free weighting matrix method" 277 : 81-96, 2015

8 T. Chen, "Optimial sampled-data control systems" Springer Science & Business Media 2012

9 H. S. Kim, "Fuzzy-model-based sampled-data chaotic synchronisation under the input constraints consideration" 13 (13): 288-296, 2019

10 D. W. Lee, "Fuzzy stabilization of nonlinear systems under sampled-data feedback : An exact discrete-time model approach" 18 (18): 251-260, 2010

11 K. Tanaka, "Fuzzy regulators and fuzzy observers : Relaxed stability conditions and LMI-based designs" 6 (6): 250-265, 1998

12 T. Takagi, "Fuzzy identification of systems and its applications to modeling and control" SMC-15 (SMC-15): 116-132, 1985

13 D. H. Lee, "Further improvement of periodic control approach for relaxed stabilization condition of discrete-time Takagi-Sugeno fuzzy systems" 174 (174): 50-65, 2011

14 N. Gnaneswaran, "Event-triggered stabilization for T-S fuzzy systems with asynchronous premise constraints and its application to wind turbine system" 13 (13): 1532-1542, 2019

15 S. H. Hwang, "Disturbance observer-based integral fuzzy liding-mode control and its application to wind turbine system" 13 (13): 1891-1900, 2019

16 P. Mani, "Digital controller design via LMIs for direct-driven surface mounted PMSG-based wind energy conversion system" 2019

17 L. Shanmugam, "Design of Interval Type-2Fuzzy-based Sampled-Data Controller for Nonlinear Systems Using Novel Fuzzy Lyapunov Functional and Its Application to PMSM" 2019

18 G. B. Koo, "Decentralized sampled-data fuzzy observer design for nonlinear interconnected systems" 24 (24): 661-674, 2016

19 H. J. Kim, "Decentralized sampled-data H fuzzy filter for nonlinear largescale systems" 273 : 68-86, 2015

20 H. J. Kim, "Decentralized H∞ fuzzy filter for nonlinear large-scale sampled-data systems with uncertain interconnections" 344 : 145-162, 2018

21 Y. Wang, "An improved result on exponential stabilization of sampleddata fuzzy systems" 26 (26): 3875-3883, 2018

22 L. A. Mozelli, "A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems" 179 : 1149-1162, 2009

23 E. Fridman, "A refiend input delay approach to sampleddata control" 46 : 421-427, 2010

24 H. S. Kim, "A fuzzy Lyapuno-Krasovskii functional approach to sampled-data outputfeedback stabilization of polynomial fuzzy systems" 26 (26): 366-373, 2018