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Article

Keywords:
trajectory tracking problem; feedback solution; nonlinear time-delay system
Summary:
The reference trajectory tracking problem is considered in this paper and (constructive) sufficient conditions are given for the existence of a causal state feedback solution. The main result is introduced as a byproduct of input-output feedback linearization.
References:
[1] Antoniades C., Christofides D.: Robust control of nonlinear time-delay systems. Internat. J. Math. Comp. Sci. 9 (1999), 4, 811–837 MR 1736672 | Zbl 0952.93042
[2] Conte G., Perdon A. M.: The disturbance decoupling problem for systems over a ring. SIAM J. Control Optim. 33 (1995), 3, 750–764 DOI 10.1137/S0363012992235638 | MR 1327237 | Zbl 0831.93011
[3] Germani A., Manes, C., Pepe P.: Linearization and decoupling of nonlinear delay systems. In: Proc. American Control Conference, Philadelphia 1998, pp. 1948–1952
[4] Isidori A.: Nonlinear Control Systems. Second edition. Springer–Verlag, Berlin 1989 MR 1015932 | Zbl 0931.93005
[5] Kolmanovskii V. B., Niculescu S. I., Gu K.: Delay effects on stability and control: a survey. In: Proc. 38th IEEE Conference on Decision and Control, Phoenix 1999
[6] Kolmanovskii V. B., Nosov V. R.: Stability of Functional Differential Equations. Academic Press, London 1986 MR 0860947 | Zbl 0593.34070
[7] Márquez–Martínez L. A., Moog C. H.: On the input-output linearization of nonlinear time-delay systems. In: Proc. IFAC Conference on System Structure and Control, Nantes 1998
[8] Moog C. H., Castro–Linares R., Velasco–Villa, M., Márquez–Martínez L. A.: Disturbance decoupling for time-delay nonlinear systems. IEEE Trans. Automat. Control 5 (2000), 305–309 DOI 10.1109/9.839954
[9] Niculescu S. I., Verriest E. I., Dugard, L., Dion J.-M.: Stability and robust stability of time-delay systems: A guided tour. In: Stability and Control of Time-Delay Systems (L. Dugard and E. I. Verriest, eds., Lecture Notes in Control and Information Sciences 228), Springer–Verlag, Berlin 1998 MR 1482571 | Zbl 0914.93002
[10] Šebek M.: Asymptotic tracking for 2-D and delay-differential systems. Automatica 24 (1988), 5, 711–713 DOI 10.1016/0005-1098(88)90121-5 | Zbl 0655.93035
[11] Wu W., Chou Y. S.: Output tracking control of uncertain nonlinear systems with an input time delay. IEE Proc. – Control Theory Appl. 143 (1996), 4, 7 Zbl 0867.93022
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