비선형 시스템을 위한 Takagi-Sugeno 퍼지 샘플치필터

국문 초록 (Abstract)

본 논문은 비선형 시스템을 위한 T-S 퍼지 샘플치 필터의 안정도 조건을 제시한다. 퍼지 시스템과 퍼지 필터 사이의 에러 시스템을 제시하며, 리아푸노프 안정도 해석 기법을 이용해 에러 시스템의 안정도 조건을 선형행렬부등식의 형태로 표현한다. 제안된 안정도 조건은 기존과는 다른 접근법을 이용하며, 더 나은 성능을 보인다. 모의실험을 통해 제안한 기법의 효용성을 검증한다.

다국어 초록 (Multilingual Abstract)

This paper presents the stability conditions of the Takagi-Sugeno (T-S) fuzzy sampled-data filter. The error system between the T-S fuzzy system and fuzzy filter is presented. In the sense of the Lyapunov stability analysis, the stability conditions are given, which can be represented in terms of linear matrix inequalities (LMIs). The proposed stability conditions utilize the different approach from the conventional methods, and have better performance than that of the conventional ones. The simulation example is given to show the effectiveness of the proposed method.

목차 (Table of Contents)

• 요약
• Abstract
• 1. 서론
• 2. 퍼지 모델
• 3. 안정도 해석
• 4. 모의실험
• 5. 결론
• References

참고문헌 (Reference)

1 송민국, "Stability and Stabilization for Discrete-time Markovian Jump Fuzzy Systems with Time-varying Delays: Partially Known Transition Probabilities Case" 제어·로봇·시스템학회 11 (11): 136-146, 2013

2 C. Peng, "Sampled-data robust ∞ control for T-S fuzzy systems with time delay and uncertainties" 179 : 20-33, 2011

3 D. W. Kim, "Sampled-data observer-based output-feedback fuzzy stabilization of nonlinear systems : Exact discrete-time design approach" 201 : 20-39, 2012

4 H. K. Lam, "Sampled-data fuzzy controller for time-delay nonlinear systems : Fuzzy-model-based LMI approach" 37 (37): 617-629, 2007

5 L. S. Hu, "Sampled-data control of networked linear control systems" 43 (43): 903-911, 2007

6 S. Almer, "Sampled data model predictive control of a voltage source inverter for reduced harmonic distortion" 21 (21): 1907-1915, 2013

7 D. H. Lee, "On the generalized local stability and local stabilization conditions for discrete-time Takagi–Sugeno fuzzy systems" 22 (22): 1654-1668, 2014

8 G. B. Koo, "LMI condition for sampled-data fuzzy control of nonlinear systems" 51 : 29-31, 2014

9 구근범, "Intelligent Digital Redesign for Nonlinear Systems using a Guaranteed Cost Control Method" 제어·로봇·시스템학회 11 (11): 1075-1083, 2013

10 D. W. Kim, "Improved digital redesign:integral approach" 49 : 787-789, 2013

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

12 G. B. Koo, "Decentralized Fuzzy Observer-Based Output-Feedback Control for Nonlinear Large-Scale Systems: An LMI Approach" 22 (22): 406-419, 2014

13 Gu, K., "An integral inequality in the stability problem of time-delaysystems" 2805-2810, 2000

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

15 C. W. Chen, "A novel delay-dependent criterion for time-delay T-S fuzzy systems using fuzzy Lyapunov method" 16 (16): 545-552, 2007

16 이동환, "A Lyapunov Functional Approach to Robust Stability Analysis of Continuous-Time Uncertain Linear Systems in Polytopic Domains" 제어·로봇·시스템학회 11 (11): 460-469, 2013