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D-stability for a class of discrete descriptor systems with multiple time delays

Autorzy
Treść / Zawartość
Języki publikacji
EN
Abstrakty
EN
In this paper, the research on discrete descriptor systems is extended to include discrete multiple time-delay descriptor systems. The impulse-free and D-stability problem for a class of discrete descriptor systems with multiple time delays is investigated. A delay-dependent criterion is first derived to guarantee that the system is proper. A delay-dependent stability criterion in terms of spectral radius is then presented to ensure the D-stability of the system. Furthermore, a delay-dependent criterion is proposed to guarantee that the system is nebular, impulse-free, and D-stable. Finally, a numerical example is provided to illustrate our main results.
Rocznik
Strony
79--89
Opis fizyczny
Bibliogr. 24 poz.,Rys., wykr.,
Twórcy
autor
  • Department of Computer Science and Information Eugineering, Shu-Te University, Kaohsiung, Taiwan 824, R.O.C
autor
  • Department of Electronic Engineering, Kao Yuan Institute of Technology, Kaohsiung, Taiwan 821, R.O.C.
autor
  • Department of Electrical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan 804, R.O.C
Bibliografia
  • LIN, C., WANG, J.L., YANG, G.H. and LAM, .J. (2000) Hobust Stabilization via State Feedback for Descriptor Systems with Uncertainties in the Derivative Matrix. Int. J. Control, 73, 407- 415.
  • CHOU, J .H., CHEN, S.H. and ZHENG, L.A. (1999) Stability Robustness of Discrete-Time Singular Systems with Structured Parameter Perturba tions. ASME J. Dynamic Systems, Measurement, and Control, 121, 547 549.
  • .J. HsiAO, F.H., PAN, S.T. and TENG, C.C. (1999) An Efficient Algorithm for Finding the D-Stability Bound of Discrete Singularly Perturbed Systems with Multiple Time Delays. Int . Control, 72, 1- 17.
  • LIEN, C.H., HSIEH, J .G. and SuN, Y.J. (1998) Robust Stabilization for a Class of Uncertain Systems with Multiple Time Delays via Linear Control. Math. Anal. Appl., 218, 369--378.
  • PHOOJAIWENCHANACHAI, S., UAHCHINKUL, K. and PREMP!lANEERACH, Y.(1998) Robust Stabilisation of a State Delayed System. fEE Pmc. Contml Theory Appl., 145, 87- 91.
  • SuN, Y.J. and HSIEH, .J.G. (1998) Robust Stabilization for a Class of Un certain Nonlinear Systems with Time-Varying Delay: Razumikhin-Type Approach . J. Optim. Theory Appl., 98, 161- 173.
  • TORNAMBE, A. (1996) Simple Procedure for the Stabilization of a Class of Un controllable Generalized Systems. IEEE Trans. Automatic Control, AC 41, 603- 607.
  • TARBOURIECH, Sand CASTELAN, E.B. (1995) Eigenstructure Assignment Ap proach for Constrained Linear Continuous-Time Singular System. Systems f3 Control Letters, 24, 333-343.
  • FANG, C.H., LEE, L. and CHANG, F.R. (1994) Robust Control Analysis and Design for Discrete-Time Singular Systems. Automatica, 30, 17 41- 1750.
  • Su, T .J. and SHYR, W.J. (1994) Robust D-stability for Linear Uncertain Discrete Time-delay Systems. IEEE Trans. Automatic Control, 39, 425 428.
  • Yu, T.J. AND MULLER, P.C. (1994) Design of Controllers for Linear Mechan ical Descriptor Systems. ASME J. Dynamic Systems, Measnrement, and Control, 116, 628- 634.
  • LEE, C.H., Lr, T.H.S. AND KUNG, F.C. (1992) D-Stability Analysis for Dis crete Systems with a Time Delay. Systems & Control Letters, 19, 213- 219.
  • Qru, L. AND DAVISON, E.J. (1992) The Stability Robustness of Generalized Eigenvalues. IEEE Trans. Automatic Contml, AC-37, 886-891.
  • CHOU, J .H. (1991) Pole-Assignment Robustness in a Specific Disk. Systems & Contml Letters, 16, 41- 44.
  • RACHID, A. (1990) Robustness of Pole Assignment in a Specific Region for Perturbed Systems. Int. J. Systems Science, 21, 579-585.
  • DAr, L. (1989) Singnlar Contml Systems. Springer-Verlag, Berlin.
  • GORECKI, H., FUKSA, S., GRABOWSKI, P. and KORYTOWSKI Analysis and Synthesis of Time-Delay Systerns. Wiley, New York.
  • VICINO, A. (1989) Robustness of Pole Location in Perturbed Systems. Automatica, 25, 109- 113.
  • LEE, S.H. and LEE, T.T. (1987) Optimal Pole Assignment for a Discrete Linear Regulator with Constant Disturbances. Int. J. Control, 45, 161 168.
  • LEWIS, F.L. (1986) A Survey of Linear Singular Systems. J. Circuits, Systems and Signal Processing, 5, 3- 36.
  • CHEN, C.T. (1984) Linear System Theory and Design. Holt, Rinehart and Winston, New York.
  • VERGHESE, G.C., LEVY, B.C. and KAILATH, T. (1981) A Generalized State Space for Singular Systems. IEEE Trans. Aufomatic Control, AC-26, 811 831.
  • ORTEGA, J .M. (1972) Numerical Analysis. Academic Press, New York.
  • JOHN, W.D. (1967) Applied Complex Variables. Macmillan, New York.
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bwmeta1.element.baztech-article-BAT2-0001-0323