Tracking and disturbance rejection in a nonlinear control system with time delay

• Autorzy: Chien T.-L. , Chen C.-C. , Wu C.-J. , Huang Y.-C. , Chen C.-Y.
• Języki publikacji: EN

Abstrakty

EN

We consider the problem of designing a feedback control law in order to reject the unknown bounded disturbance and achieve tracking of reference inputs in control systems described by a class of nonlinear time-delay differential-algebraic equations. Based on the input-output feedback linearization technique and Lya-pimov method for nonlinear state feedback synthesis, a robust globally asymptotical output tracking controller design methodology for nonlinear time-delay control systems with delays on the states and the input is developed. The underlying theoretical approaches are the differential geometry approach and the composite Lyapunov approach. For the view of practical application, the proposed control methodology has been successfully applied to the famous nonlinear automobile idle-speed control system problem.

Słowa kluczowe

EN

disturbance rejection; automobile idle-speed control system; differential geometry approach; composite Lyapunov approach

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 1
• Strony: 59--74
• Opis fizyczny: Bibliogr. 25 poz., rys., wykr.

Twórcy

autor

Chien T.-L.

autor

Chen C.-C.

autor

Wu C.-J.

autor

Huang Y.-C.

autor

Chen C.-Y.

• Department of Electronic Engineering, Wufeng Institute of Technology, 117. Sec., Chian-Kuo Road, Ming-Hsiung, Chia-Yi 621, Taiwan 640, R.O.C.

Bibliografia

• BANKS, S.P. (1998) Mathematical theories of nonlinear systems. Prentice-Hall, Englewood Cliffs, New York.
• BRIERLEY, S.D., CHIASSON, J.N., LEE, E.B. and ZAK, S.H. (1982) On stability independent of delay for linear systems. IEEE Trans. Automat. Contr. 27 (February), 252-254.
• CAO, Y.Y. and SUN, Y.X. (1998) Robust stabilization of uncertain systems with time-varying multi-state-delay. IEEE Trans. Automat. Contr. 43 (October), 1484-1488.
• CHERES, E., GUTMAN, S. and PALMOR, Z.J. (1989) Stabilization of uncertain dynamic systems including state delay. IEEE Trans. Automat. Contr. 34 (November), 1199-1203.
• DRIVER, R.D. (1977) Ordinary and Delay Differential Equations. Springer-Verlag, New York.
• GORECKI, A.H., FUKSA, S., GRABOWSKI, P. and KORYTOWSKI, A. (1989) Analysis and Synthesis of Time Delay Systems John Willey, New York.
• GOSIEWSKI, A. and OLBROT, A.W. (1980) The effect of feedback delays on the performance of multivariable linear control systems. IEEE Trans. Automat. Contr. 25 (August), 729-735.
• HENSON, M.A. and SEBORG, D.E. (1991) Critique of exact linearization strategies for process control. J. Process Control 1, 122-139.
• ISIDORI. A. (1989) Nonlinear Control Systems. Springer Verlag, New York.
• KHORASANI, K. and KOKOTOVIC, P.V. (1986) A corrective feedback design for nonlinear systems with fast actuators. IEEE Trans. Automat. Contr. 31, 67-69.
• KWON, W.H. and PEARSON, A.E. (1980) Feedback stabilization of linear systems with delayed control. IEEE Trans. Automat. Contr. 25 (August), 266-269.
• LEWIS, R.M. and ANDERSON, B.D.O. (1980) Necessary and sufficient conditions for delay-independent stability of linear autonomous systems. IEEE Trans. Automat. Contr. 25 (August), 735-739.
• MAHMOUD, M.S. and AI-MUTHAIRI, N.F. (1994) Design of robust controllers for time-delay systems. IEEE Trans. Automat. Contr. 39 (December), 995-999.
• MARINO, R. and KOKOTOVIC, P.V. (1988) A geometric approach to nonlinear singularly perturbed systems. Automatica 24, 31-41.
• MILLER, R.K. and MICHEL, A.X. (1982) Ordinary Differential Equations. Academic Press, New York.
• MORI, T. (1985) Criteria for asymptotic stability of linear time-delay systems. IEEE Trans. Automat. Contr. 30 (February), 158-161.
• MORI, T., FUKUMA, N. and KUWAHARA, M. (1981) Simple stability criteria for single and composite linear systems with time delays. Int. J. Contr. 34, 1175-1184.
• MORI, T., FUKUMA, N. and KUWAHARA, M. (1982) On an estimate of the delay rate for stable linear delay systems. Int. J. Contr. 36, 95-97.
• NIJMEIJER, H. and VAN DER SCKAFT, A.J. (1990) Nonlinear dynamical control systems. Springer Verlag, New York.
• PHOOJARUENCHANACHAI, S., UAHCHINKUL, K. and PREMPRANEERACH, Y. (1998) Robust stabilization of a state delayed system. IEE Proceedings-Control Theory and Applications 145, (1), 87-91.
• THOWSEN, A. (1982) A transformation for stability analysis of linear delay systems. Int. J. Syst. Sci. 13. 1371-1378.
• TRINH, H. and ALDEEN, M. (1996) Output tracking for linear uncertain time-delay systems. IEE Proc.-Control Theory Application 143 (November) (6), 481-488.
• WANG, S.S. (1992) Further results on stability of X(t) = AX(t) + BX(t - r). Syst. and Contr. Lett. 19, 165-168.
• WANG, W.J., KAO, C.C. and CHEN, C.S. (1991) Stabilization, estimation and robustness for large scale time-delay systems. Contr. Theory and Advanced Technology 7, 569-585.
• YANUSHEVSKY, R.T. (1992) On robust stabilizability of linear differential-difference systems with unstable D-operator. IEEE Trans. Automat. Contr. 37 (May), 652-653.