具有时变时滞的离散系统的H控制-

1、 602 ACTA AUTOMATICA SINICA Vol. 36 5 Conclusion This paper has addressed the H control problem for discrete-time systems with time-varying delay. By dening a binary variable, the problem is rst transformed into the one with multiple input channels, each of which has a constant delay. Then, the prop

2、osed problem is solved by using the duality principle between the H control problem and a smoothing estimation problem for an associated system without delays. Necessary and sucient conditions for the existence of a causal and strictly causal H controller are obtained, and explicit solutions are giv

3、en for the proposed H problem. Fig. 1 The time histories of the time-varying delay ht References 1 Nagpal K M, Ravi R. H control and estimation problems with delayed measurements: state-space solutions. SIAM Journal on Control and Optimization, 1997, 35(4: 12171243 2 Kojima A, Ishijima S. H performa

4、nce of preview control systems. Automatica, 2003, 38(4: 693701 3 Altman E, Basar T, Srikant R. Congestion control as a stochastic control problem with action delays. In: Proceedings of the 34th IEEE Conference on Decision and Control. New Orleans, USA: IEEE, 1999. 13891394 4 Lian F L, networked dela

5、ys. In: Arlington, Moyne J, Tilbury D. Analysis and modeling of control systems: MIMO case with multiple time Proceedings of the American Control Conference. USA: IEEE, 2001. 43064312 Fig. 2 The time histories of strictly causal and causal controllers 5 Xiao L, Hassibi A, How J P. Control with rando

6、m communication delays via a discrete-time jump system approach. In: Proceedings of the American Control Conference. Chicago, USA: IEEE, 2000. 21992204 6 Tadmor G, Mirkin L. H control and estimation with preview-part II: matrix ARE solutions in discrete-time. IEEE Transactions on Automatic Control,

7、2005, 50(1: 2940 7 Jiang X F, Han Q L. On H control for linear systems with interval time-varying delay. Automatica, 2005, 41(12: 20992106 8 Xu S Y, Lam J, Mao X R. Delay-dependent H control and ltering for uncertain Markovian jump systems with timevarying delays. IEEE Transactions on Circuits and S

8、ystems, 2007, 54(9: 20702077 9 He Y, Wu M, Han Q L, She J H. Delay-dependent H control of linear discrete-time systems with an interval-like time-varying delay. International Journal of Systems Science, 2008, 39(4: 427436 Fig. 3 The state trajectories associated with strictly causal and causal contr

9、ollers 10 Fridman E, Shaked U. Delay-dependent stability and H control: constant and time-varying delays. International Journal of Control, 2003, 76(1: 4860 11 Zhang L, Shi P, Boukas E K. H output-feedback control for switched linear discrete-time systems with timevarying delays. International Journ

10、al of Control, 2007, 80(8: 13541365 WANG Wei Ph. D. candidate at Shenzhen Graduate School, Harbin Institute of Technology. His research interest covers optimal control and estimation. Corresponding author of this paper. E-mail: wangwei 531 ZHANG Huan-Shui Professor at the School of Control Science and Engineering, Shangdong University. His research interest covers linear estimation, robust control, power control for wireless communication, stoc