On A Rational Transfer Function-based Approach To H∞ Filtering Design For Time-delay Linear Systems

This paper introduces a new procedure for H∞ filter design of time-delay linear systems. A finite-order LTI system, called comparison system, is defined in such a way that its H∞ norm is proven to be strongly related to the one of the time-delay system. Differently from what can be viewed as a common feature of filter design methods available in the literature to date, the one presented here treats the filtering design of time-delay systems with classical numerical routines based on Riccati equation and H∞ theory of LTI systems. The proposed algorithm is simple, efficient and easy to implement. Illustrative examples are solved and discussed in order to put in evidence the most relevant properties of the theoretical results. Furthermore, a practical application is presented. © 2010 IEEE.

979

988

Gu, K., Kharitonov, V.L., Chen, J., (2003) Stability of Time-Delay Systems, Ser. Control Engineering Series, , Boston, MA: Birkhäuser

Niculescu, S.I., Gu, K., (2004) Advances in Time-Delay Systems, , New York: Springer

Richard, J.-P., Time delay systems: An overview of some recent advances and open problems (2003) Automatica, 39 (10), pp. 1667-1694. , Oct

Fridman, E., Shaked, U., A new H∞ filter design for linear time delay systems (2001) IEEE Transactions on Signal Processing, 49 (11), pp. 2839-2843. , DOI 10.1109/78.960431, PII S1053587X01092157

Fridman, E., Shaked, U., An improved delay-dependent H∞ filtering of linear neutral systems (2004) IEEE Trans. Signal Process., 52, pp. 668-673. , Mar

Zhang, X.M., Han, Q.L., Robust H∞ filtering for a class of uncertain linear systems with time-varying delay (2008) Automatica, (44), pp. 157-166

Peng, C., Yue, D., Tian, E., Zhang, Y., Improved network-based robust H∞ filtering for uncertain linear systems (2009) Int. J. Innovat. Comput., Inf. Contr., 5 (4), pp. 961-970. , Apr

De Oliveira, M.C., Geromel, J.C., Synthesis of nonrational controllers for linear delay systems (2004) Automatica, 40 (2), pp. 171-188. , Feb

Gao, Z., Ding, S.X., State and disturbance estimator for time-delay systems with application to fault estimation and signal compensation (2007) IEEE Transactions on Signal Processing, 55 (12), pp. 5541-5551. , DOI 10.1109/TSP.2007.900154

Li, H., Fu, M., A linear matrix inequality approach to robust H∞ filtering IEEE Trans. Autom. Control, , unpublished

Olgac, N., Sipahi, R., An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems (2002) IEEE Transactions on Automatic Control, 47 (5), pp. 793-797. , DOI 10.1109/TAC.2002.1000275, PII S001892860204761X

Chen, J., Gu, G., Nett, C.N., A new method for computing delay margins for stability of linear delay systems (1995) Syst. Contr. Lett., 26 (2), pp. 107-117. , Sep

Rekasius, Z.V., A stability test for systems with delays (1980) Proc. Joint Autom. Contr. Conf., , Paper No. TP9-A

Tsypkin, Y.Z., Fu, M., Robust stability of time-delay systems with an uncertain time-delay constant (1993) Int. J. Control, 57 (4), pp. 865-879. , Apr

Youcef-Toumi, K., Bobbett, J., Stability of uncertain linear systems with time delay (1991) J. Dyn. Syst., Measure. Contr.-Trans. ASME, 113 (4), pp. 558-567. , Dec

Kamen, E.W., Linear systems with commensurate time delays: Stability and stabilization independent of delay (1982) IEEE Trans. Autom. Control, 27 (1), pp. 367-375. , Jan

Walton, K., Marshall, J.E., Direct method for TDS stability analysis (1987) IEE Proceedings D: Control Theory and Applications, 134 (2), pp. 101-107

Zhang, J., Knospe, C.R., Tsiotras, P., Newresults for the analysis of linear systems with time-invariant delays (2003) Int. J. Rob. Nonlin. Contr., 13 (12), pp. 1149-1175. , Oct

Brockett Roger, W., Byrnes Christopher, I., Multivariable Nyquist criteria, root loci, and pole placement: Ageometric viewpoint (1981) IEEE Transactions on Automatic Control, AC-26 (1), pp. 271-284

Korogui, R.H., Fioravanti, A.R., Geromel, J.C., On a rational transfer function-based approach to H∞ filter design for time-delay systems (2009) Proc. 48th IEEE Conf. on Dec. Contr., pp. 1854-1859. , Shanghai, China, Dec

Fridman, E., Shaked, U., A descriptor system approach to H∞ control of linear time-delay systems (2002) IEEE Transactions on Automatic Control, 47 (2), pp. 253-270. , DOI 10.1109/9.983353, PII S0018928602020640

Niculescu, S.I., H∞ memoryless control with an α-stability constraint for time-delay systems: An LMI approach (1998) IEEE Trans. Autom. Control, 43 (5), pp. 739-743. , May

Colaneri, P., Geromel, J.C., Locatelli, A., (1997) Control Theory and Design: An RH2 - RH∞ Viewpoint, , London, U.K.: Academic

Zhou, K., Doyle, J.C., (1998) Essentials of Robust Control, , Englewood Cliffs, NJ: Prentice-Hall

Geromel, J.C., Optimal linear filtering under parameter uncertainty (1999) IEEE Trans. Signal Process., 47, pp. 168-175. , Jan

Geromel, J.C., Filho, L.A.V.R., H2 optimal robust filtering (2005) Eur. J. Control, 12 (1), pp. 30-39. , Dec

Materias

Mostrar el registro completo del ítem