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Maximal stability bounds of discrete-time singularly perturbed systems

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The exact stability bound of the parasitic parameter for a discrete-time singularly perturbed system is determined by the linear fractional transformation (LFT) framework. Two systematic approaches including time-domain and frequency-domain methods are proposed to solve this problem based on the unified LFT framework. One employs the Kronecker product of LFTs and the guardian map theory. The other is to plot the eigenvalue loci of a real rational function matrix. Two examples are given to show the feasibility of the approaches.
Rocznik
Strony
95--108
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • Department of Electrical Engineering Kun Shan University of Technology No.949, Da-Wan Rd., Yung-Kang City, Tainan 710 Taiwan, R.O.C.
autor
  • Department of Engineering Science National Cheng Kung University
Bibliografia
  • Chen, B. S. and Lin, C. (1990) On the stability bounds of singularly perturbed systems. IEEE Trans. Automat. Contr. 35, 1265-1270.
  • Chen, Shin-Ju and Lin, Jong-Lick (1999) Maximal stability bounds of singularly perturbed systems. J. of The Franklin Institute 336, 1209-1218.
  • Doyle, J. C., Packard, A., and Zhou, K. (1991) Review of LFTs, LMIsand m. Proc. of 30th IEEE CDC, 1227-1232.
  • Feng, W. (1988) Characterization and computation for the boundε∗in linear time-invariant singularly perturbed systems.Syst. Contr. Lett.11, 195-202.
  • Ghosh, R., Sen, S., and Datta, K. B. (1999) Method for evaluating stability bounds of discrete-time singularly perturbed systems. IEE Proc. D, Control Theory Appl.146, 227-233.
  • Kafri, W. S., and Abed, E. H. (1996) Stability analysis of discrete-time singularly perturbed systems. IEEE Trans. Circuit and System 43, 848-850.
  • Kokotovic, P. V., Khalil, H. K., and O’Reilly, J. (1986) Singular Perturbation Methods in Control: Analysis and Design, New York: Academic.
  • Lancaster, P., and Tismenetsky, M. (1985) The Theory of Matrices, Academic Press, NY, 2nd edn.
  • Li, T. H. S., and Li, J. H.(1992) Stabilization bound of discrete two-time-scale systems. Syst. Control Lett.18, 479-489.
  • Li, T. H. S., Chiou, J. S., and Kung, F. C. (1999) Stability bounds of singularly perturbed discrete systems. IEEE Trans. Automat. Contr. 44,1934-1938.
  • Lin, Jong-Lick, and Chen, Shin-Ju. (1999) LFT approach to robust D-stability bounds of uncertain singular systems. IEE Proc. D, Control Theory Appl. 145, 127-134.
  • Liu, W. Q., Paskota, M., Sreeram, V. and Teo, K. L. (1997) Improvement on stability bounds for singularly perturbed systems via state feed-back. Int. J. Syst. Science 28, 571-578.
  • Matlab user’s guide.(1991) The MathWorks, Inc.
  • Mustafa, D.,(1995) Block Lyapunov sum with applications to integral controllability and maximal stability of singularly perturbed systems. Int. J.Control 61, 47-63.
  • Naidu, D. S., and Pao A. K. (1985) Singular Perturbation Analysis of Discrete Control Systems, Berlin: Springer-Verlag.
  • Naidu, D. S., Price, D. B., and Hibey, J. L. (1987) Singular perturbationsand time scales (SPaTS) in discrete control systems- an overview. Proc.of 26th IEEE CDC, Los Angeles, CA, 2096-2103.
  • Saydy, L., Tits, A. L., and Abed, E. H. (1990) Guardian maps and the generalized stability of parametrized families of matrices and polynomials. Math. Contr. Sig. Syst. 3, 345-371.
  • Sen, S., and Datta, K. B. (1993) Stability bounds of singularly perturbedsystems. IEEE Trans. Automat. Contr. 38, 302-304.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0007-0044
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