Output Feedback H∞ Control Problem for Linear Neutral Systems: Delay Independent Case

[+] Author and Article Information
Ulviye Başer

Department of Mathematics, Istanbul Technical University, 80626 Maslak, Istanbul, Turkeye-mail: baser@itu.edu.tr

J. Dyn. Sys., Meas., Control 125(2), 177-185 (Jun 04, 2003) (9 pages) doi:10.1115/1.1567316 History: Received July 01, 2002; Revised January 01, 2003; Online June 04, 2003
Copyright © 2003 by ASME
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Hale, J. K., 1977, Functional Differential Equations, Springer-Verlag, New York.
Malek-Zavarei, M., and Jamshidi, M., 1987, Time-Delay Systems: Analysis, Optimization and Applications, Systems and Control Series 9. North-Holland, Amsterdam.
Byrnes,  CP. I., Spong,  M. W., and Tarn,  T., 1984, “A Several Complex Variables Approach to Feedback Stabilization of Linear Neutral Delay-Differential Systems,” Math. Systems Theory, 17, pp. 97–133.
Hale, J. K., and Lunel, S. M. V., 1991, Introduction to Functional Differential Equations, App. Math. Sciences, 99, Springer-Verlag, New York.
Kolmanovskii, V. B., and Nasov, V. R., 1986, Stability of Functional Differential Equations Systems: Analysis, Optimization and Applications, Academic Press, New York.
Verriest, E. J., and Niculescu, S. I., 1997, “Delay-Independent Stability of Linear Neutral Systems: A Riccati Equation Approach,” Stability and Control of Time-Delay Systems, L. Dugard and E. I. Verriest, (pp. 93–100), Springer, New York.
Mahmoud,  M. S., 2000, “Robust H Control of Linear Neutral Systems,” Automatica, 36, pp. 757–764.
Kolmanovskii,  V. B., Niculescu,  S. I., and Richard,  J. P., 1999, “On the Liapunov-Krasovskii Functionals for Stability Analysis of Linear Delay Systems,” Int. J. Control, 72(4), pp. 374–384.
Lien,  C. H., Yu,  K. W., and Hsieh,  J. G., 2000, “On the Liapunov-Krasovskii Functionals for Stability Analysis of Linear Delay Systems,” Int. J. Control, 72(4), pp. 374–384.
Niculescu,  S. I., 2001, “On Delay-Dependent Stability Under Model Transformations of Some Neutral Linear Systems,” Int. J. Control, 74(6), pp. 609–617.
Fridman,  E., 2001, “New Lyapunov-Krasovskii Functionals for Stability of Linear Retarded and Neutral Type Systems,” Syst. Control Lett., 43, pp. 309–319.
Zhou,  K., and Khargonekar,  P. P., 1988, “An Algebraic Riccati Equation Approach to H Optimization,” Syst. Control Lett., 11, pp. 85–91.
Doyle,  J. C. K., Glover,  K., Khargonekar,  P., and Francis,  B., 1989, “State-Space Solutions to Standart H2 and H Problems,” IEEE Trans. Autom. Control, AC-34, pp. 831–847.
Iwasaki,  T., and Skelton,  R. E., 1994, “All Controllers for General H Control Problem: LMI Existence Conditions and State Space Formulas,” Automatica, 8, pp. 1307–1317.
Gahinet,  P., and Apkarian,  P., 1994, “An Linear Matrix Inequality Approach to H Control,” Int. J. Robust Nonlinear Control, 4, pp. 421–448.
Mahmoud, M. S., 2000, Robust Control and Filtering for Time-Delay Systems, Control Engineering Series, Marcel Dekker, Inc., New York.
Choi,  H. H., and Chung,  M. J., 1997, “An LMI Approach to H Controller Design for Linear Time-Delay Systems,” Automatica, 33, pp. 737–739.
Fridman,  E., and Shaked,  U., 2002, “A Descriptor System Approach to H Control of Linear Time-Delay Systems,” IEEE Trans. Autom. Control, 47(2), pp. 253–270.
Sampei,  M., Mita,  T., and Nakamichi,  M., 1990, “An Algebraic Approach to H Output Feedback Control Problems,” Syst. Control Lett., 14, pp. 13–24.
Boyd, S., el Ghaoui, L., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia.
Başer, U., 2002, “The H Control Problem for Linear Neutral Systems With Multiple Delays,” IFAC World Congress (2002), Barcelona.
Zhou, K., Doyle, J. C., and Glover, K., 1996, Robust and Optimal Control, Prentice Hall, New Jersey.




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