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논문 기본 정보
- 자료유형
- 학위논문
- 저자정보
- 지도교수
- 박홍배
- 발행연도
- 2015
- 저작권
- 경북대학교 논문은 저작권에 의해 보호받습니다.
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이 논문의 연구 히스토리 (3)
2015
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This thesis considers not only robust and non-fragile H∞ controller design but also robust and non-fragile H∞ filter design for time-delay systems with randomly occurring polytopic uncertainties.
Firstly, the robust and non-fragile H∞ controller design methods are presented in continuous and discrete time case. Using a Lyapunov functional and an H∞ measure, sufficient conditions for the asymptotic stability of closed-loop systems with delays are derived. Based on stochastic analysis, sufficient conditions for the existence of robust H∞ controller are given in terms of PLMI(parameterized linear matrix inequality) and the controller gain with region of controllers which satisfies non-fragility are calculated at a time from these conditions.
Secondly, we presented a design method for the robust and non-fragile filters with randomly occurring polytopic uncertainties which guaranteed H∞ performance for continuous and discrete time-delay systems. Sufficient conditions for minimizing filter error are given in terms of PLMIs after using Lyapunov functional and H∞ performance measure.
Finally, through the computer simulation with simple examples, the validities of the proposed methods are demonstrated. In spite of the controller gain variations with the resulted polytopic region and randomly occurring uncertainties in system, the obtained robust and non-fragile H∞ controller guaranteed the asymptotic stability and H∞ norm bound constraint of the closed-loop time delay systems. Also, the proposed robust and non-fragile H∞ filter minimized the filtering error and attenuated disturbance within a given bound even if there exist randomly occurring polytopic uncertainties and gain perturbations in time-delay system.
Firstly, the robust and non-fragile H∞ controller design methods are presented in continuous and discrete time case. Using a Lyapunov functional and an H∞ measure, sufficient conditions for the asymptotic stability of closed-loop systems with delays are derived. Based on stochastic analysis, sufficient conditions for the existence of robust H∞ controller are given in terms of PLMI(parameterized linear matrix inequality) and the controller gain with region of controllers which satisfies non-fragility are calculated at a time from these conditions.
Secondly, we presented a design method for the robust and non-fragile filters with randomly occurring polytopic uncertainties which guaranteed H∞ performance for continuous and discrete time-delay systems. Sufficient conditions for minimizing filter error are given in terms of PLMIs after using Lyapunov functional and H∞ performance measure.
Finally, through the computer simulation with simple examples, the validities of the proposed methods are demonstrated. In spite of the controller gain variations with the resulted polytopic region and randomly occurring uncertainties in system, the obtained robust and non-fragile H∞ controller guaranteed the asymptotic stability and H∞ norm bound constraint of the closed-loop time delay systems. Also, the proposed robust and non-fragile H∞ filter minimized the filtering error and attenuated disturbance within a given bound even if there exist randomly occurring polytopic uncertainties and gain perturbations in time-delay system.
목차
Ⅰ. 서 론 1Ⅱ. 예비지식 및 정의 72.1 표기법 72.2 H∞ 노옴(norm) 82.3 행렬부등식 92.4 자승적 안정성 112.5 파라미터화 선형행렬부등식(PLMI) 162.6 베르누이 분포 18Ⅲ. 임의발생 불확실성을 고려한 시스템의 H∞ 제어기 설계 193.1 연속지연시스템에 대한 H∞ 제어 203.2 이산지연시스템에 대한 H∞ 제어 273.3 연속지연시스템에 대한 견실비약성 H∞ 제어 343.4 이산지연시스템에 대한 견실비약성 H∞ 제어 443.5 임의발생 불확실성을 고려한 연속시스템의 견실비약성 H∞ 제어 553.6 임의발생 불확실성을 고려한 이산시스템의 견실비약성 H∞ 제어 673.7 예제 및 모의실험 803.8 소결론 98Ⅳ. 임의발생 불확실성을 고려한 시스템의 H∞ 필터 설계 994.1 임의발생 불확실성을 가진 연속시스템의 견실비약성 H∞ 필터 설계 1004.2 임의발생 불확실성을 가진 이산시스템의 견실비약성 H∞ 필터 설계 1134.3 예제 및 모의실험 1274.4 소결론 142Ⅴ. 결 론 143참고문헌 145영문초록 151
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