In this paper robustness bounds for sampled-data linear time-delay systems are developed. The uncertainty is assumed to be on both the A and B matrices of the continuous-time system. The bounds developed are in terms of the maximum singular values of uncertainties in the continuous-time domain. Cases of small (less than or equal to the sampling time) and long time delays are considered. For each of the cases, the bounds are developed for the general uncertain continuous time-delay system as well as the system with uncertainty in A or B only. An example illustrating the findings of this paper is presented.
YedavalliR. K.On measures of stability for linear state space systems with real parameter perturbations. A perspective. In Recent Advances in Robust Control (Eds YedavalliR. K.DoratoP.), 1990 (IEEE Press).
4.
KollaS. R.YedavalliR. K.FarisonJ. B.Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems. Int. J. Control, 1989, 26, 713–716.
5.
YazE.Deterministic and stochastic robustness measures for discrete systems. IEEE Trans. Autom. Control, 1988, AC-33, 952–955.
HuH. Z.HollotC. V.Robustness of sampled-data control systems having parametric uncertainty: A conic sector approach. IEEE Trans. Autom. Control, 1993, AC-38, 1541–1545.
8.
BernsteinD. S.HollotC. V.Robust stability of sampled-data control systems. Systems Control Lett., 1989, 13, 217–226.
9.
EzzineJ.Robust stability bounds for sampled-data systems. Int. J. Systems Sci., 1995, 26 (10), 1951–1996.
10.
Al-SunniF. M.Al-AmerS. H.Robust control of sampled-data systems. IEE—Control Theory and Applic, March 1998, 145 (2), 236–240.
11.
AstromK. J.WittenmarkB.Computer Control Systems: Theory and Design, 1997 (Prentice-Hall, Englewood Cliffs, New Jersey).
