단일 분산시스템의 강인안정성 해석

Stability Robustness of Unified Decentralized Systems

  • 이동기 (건양대학교 전자정보공학과) ;
  • 허광희 (건양대학교 토목공학과) ;
  • 오도창 (건양대학교 전자정보공학과) ;
  • 이규 (충남대학교 건축공학과) ;
  • 이우상 (충남대학교 토목공학과)
  • Lee, Dong-Gi (Department of Electronics & Information Engineering, Konyang University) ;
  • Heo, Gwang-Hee (Department of Civil Engineering, Konyang University) ;
  • Oh, Do-Chang (Department of Electronics & Information Engineering, Konyang University) ;
  • Lee, Giu (Department of Architectural Engineering, Chungnam National University) ;
  • Lee, Woo-Sang (Department of Civil Engineering, Chungnam National University)
  • 발행 : 2007.03.25

초록

이 논문에서는 델타연산자를 사용하는 단일접근법에 의해 단일분산시스템에 대한 변동경계치의 새로운 결과를 제시하였다. 시스템 불확실성이 존재하는 경우에 대한 새로운 장인 안정성 경계치를 이용하여 단일 분산시스템의 강인 안정성 해석이 수행되었다. 새로운 단일 안정성 경계치는 단일 리아프노프 행렬 방정식에 근거하여 개발되었다. 또한 새로운 단일 경계치가 적용되었을 때 시스템이 그 안정성을 유지함을 나타내었고 예제가 이 제안된 결과를 입증하기 위해 제시되었다.

In this paper, new results for perturbation bounds for unified decentralized systems by a unified approach using $\delta$ (defined as a shift operator at unified approach) are presented. Robust stability analysis of unified decentralized system is investigated by new robust stability bound under system uncertainties. New unified stability bounds are developed based on the unified Lyapunov matrix equation. It is shown that the system maintains its stability when new unified bounds are applied. Numerical example is presented to illustrate the proposed analysis.

키워드

참고문헌

  1. Kemin Zhou and Pramod P. Khargonekar, 'Stability Robustness for Linear State-Space Models with Structured Uncertainty,' IEEE Trans. on Automatic Control, vol. 34, pp. 751-757, July 1989 https://doi.org/10.1109/9.29405
  2. Cheng-Fa Cheng, 'Output feedback stabilization for uncertain systems: constrained Riccati approach,' IEEE Trans. on Automatic Control, vol. 43, pp. 81-84, January 1998 https://doi.org/10.1109/9.654890
  3. Yong-Yan Cao and You-Yian Sun, 'A counterexample of 'comments on 'stability margin evaluation for uncertain linear systems,' IEEE Trans. on Automatic Control, vol. 42, pp. 1601, November 1997
  4. S. R. Kolla, R. K. Yedavalli, and J. B. Farison, 'Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems,' International Journal of Control, vol. 50, pp. 151-159, 1989 https://doi.org/10.1080/00207178908953354
  5. M.T. Tran and M.E. Sawan, 'Reduced order discrete-time models,' International Journal of Control, vol. 14, pp. 745-752, 1983
  6. P. Dorato and A. H. Levis, ' Optimal linear regulators: the discrete-time case ,' IEEE Trans. on Automatic Control, vol. 16, pp 613-620, 1971 https://doi.org/10.1109/TAC.1971.1099832
  7. Kyu-Hong Shim, 'A Unified Approach Using Delta Operators for Singularly Perturbed Control Systems,' Ph.D. dissertation, Wichita State University, Wichita, August 1999
  8. Dong Gi Lee, 'System Stability Analysis for Decentralized Singularly Perturbed Control Systems,' Ph.D. dissertation, Wichita State University, Wichita, December 2001
  9. Othman Alsmadi, 'Suboptimal Control of Decentralized Singularly Perturbed Systems,' Ph.D. dissertation, Wichita State University, Wichita, December 1999
  10. R.H. Middleton and G.C. Goodwin, Digital Control and Estimation: A Unified approach. Prentice-Hall, Englewood Cliffs, NJ, 1990
  11. Frank L. Lewis, Applied Optimal Control & Estimation, Englewood Cliffs, NJ:Prentice-Hall, 1992