Bounded real criteria for linear time-delay systems
- 1 July 1998
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 43 (7), 1016-1022
- https://doi.org/10.1109/9.701117
Abstract
Considers the problem of finding the H/sub /spl infin//-norm of a linear time-varying system having a delayed state and with an output that comprises a linear combination of the "current" state as well as of the "delayed" state. Both delay-independent and delay-dependent bounded real criteria are derived which provide sufficient conditions for the system to possess an H/sub /spl infin//-norm which is less than or equal to a prescribed bound. The stationary case for time-invariant systems is also tackled, and in this situation the proposed bounded real criteria are given in terms of linear matrix inequalities. Two examples are presented which compare the guaranteed bounds that are achieved by our results with the actual H/sub /spl infin//-norm of the system.Keywords
This publication has 7 references indexed in Scilit:
- Explicit formulas for operator Riccati equations arising in H/sup ∞/ control with delaysPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Memoryless H/sup ∞/ controllers for state delayed systemsIEEE Transactions on Automatic Control, 1994
- Time domain simulation of cycloconverter-fed variable speed AC drives with closed-loop controlPublished by Institution of Engineering and Technology (IET) ,1994
- Linear Matrix Inequalities in System and Control TheoryPublished by Society for Industrial & Applied Mathematics (SIAM) ,1994
- Interior-Point Polynomial Algorithms in Convex ProgrammingPublished by Society for Industrial & Applied Mathematics (SIAM) ,1994
- Introduction to Functional Differential EquationsApplied Mathematical Sciences, 1993
- State-space solutions to standard H/sub 2/ and H/sub infinity / control problemsIEEE Transactions on Automatic Control, 1989