The standard H/sub /spl infin// problem in systems with a single input delay

作者: G. Tadmor

DOI: 10.1109/9.847719

关键词:

摘要: The standard H/sub /spl infin// problem is solved for LTI systems with a single, pure input lag. solution based on state-space analysis, mixing finite-dimensional and an abstract evolution model. Utilizing the relatively simple structure of these distributed systems, associated operator Riccati equations are reduced to combination two algebraic one differential equation over delay interval. results easily extend finite time time-varying problems where substituted by process duration.

参考文章(49)
Ciprian Foias, Allen Tannenbaum, On the Four Block Problem, I Topics in Operator Theory. pp. 93- 112 ,(1988) , 10.1007/978-3-0348-5475-7_8
David J. N. Limebeer, Michael Green, Linear Robust Control ,(1994)
A. Kojima, S. Ishijima, Robust controller design for delay systems in the gap-metric advances in computing and communications. ,vol. 2, pp. 1939- 1944 ,(1994) , 10.1109/ACC.1994.752413
T. Basar, P. Bernhard, H/sup /spl infin//-0ptimal Control and Related Minimax Design Problems: A Dynamic Game Approach IEEE Transactions on Automatic Control. ,vol. 41, pp. 1397- ,(1996) , 10.1109/TAC.1996.536519
K.M. Nagpal, R. Ravi, H/sub /spl infin// control and estimation problems with delayed measurements: state space solutions american control conference. ,vol. 3, pp. 2379- 2383 ,(1994) , 10.1109/ACC.1994.734984
G. Tadmor, H/sub /spl infin// control in systems with a single input delay advances in computing and communications. ,vol. 1, pp. 321- 325 ,(1995) , 10.1109/ACC.1995.529261
Hari Bercovici, Béla Szőkefalvi-Nagy, László Kérchy, Ciprian Foiaş, Harmonic Analysis of Operators on Hilbert Space ,(2010)