A linear matrix inequality approach to decentralized control of distributed parameter systems
- 1 January 1998
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 3, 1350-1354 vol.3
- https://doi.org/10.1109/acc.1998.707015
Abstract
In this paper preliminary results in the use of linear matrix inequalities for the decentralized control of distributed parameter systems is presented. The class of systems being considered are those that can be expressed as multidimensional systems. It is shown that linear matrix inequalities can be used to provide tractable solutions to this problem; the conditions are in general conservative, but are computationally attractive and lead to controllers which have a decentralized structure.Keywords
This publication has 9 references indexed in Scilit:
- The structure of optimal controllers of spatially-invariant distributed parameter systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Vehicle following control design for automated highway systemsIEEE Control Systems, 1996
- A linear matrix inequality approach to H∞ controlInternational Journal of Robust and Nonlinear Control, 1994
- Linear Matrix Inequalities in System and Control TheoryPublished by Society for Industrial & Applied Mathematics (SIAM) ,1994
- The complex structured singular valueAutomatica, 1993
- Stability Analysis for Linear Repetitive ProcessesPublished by Springer Nature ,1992
- Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent SystemsSIAM Journal on Control and Optimization, 1985
- Multidimensional Systems TheoryPublished by Springer Nature ,1985
- A discrete state-space model for linear image processingIEEE Transactions on Automatic Control, 1975