Robust decentralized control using an alternating projection approach
- 1 January 2000
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 2, 801-805 vol.2
- https://doi.org/10.1109/acc.2000.876610
Abstract
Provides a geometric formulation of the robust decentralized control problem for both continuous-time and discrete-time systems. The problem is formulated as a feasibility problem of finding a set of matrix parameters in the intersection of a set of linear matrix inequalities (LMIs) and a non-convex rank constraint. Alternating projection methods are proposed for solution. Fixed-order, interval and structural constraints can be imposed on the controller in the same framework.Keywords
This publication has 10 references indexed in Scilit:
- NP-hardness of some linear control design problemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Computational complexity of a problem arising in fixed order output feedback designSystems & Control Letters, 1997
- Low-order control design for LMI problems using alternating projection methodsAutomatica, 1996
- Sequential design of decentralized controllersAutomatica, 1994
- Decentralized control through parameter space optimizationAutomatica, 1994
- Method of successive projections for finding a common point of sets in metric spacesJournal of Optimization Theory and Applications, 1990
- A successive projection methodMathematical Programming, 1988
- A Method for Finding Projections onto the Intersection of Convex Sets in Hilbert SpacesPublished by Springer Nature ,1986
- Image Restoration by the Method of Convex Projections: Part 1ߞTheoryIEEE Transactions on Medical Imaging, 1982
- Survey of decentralized control methods for large scale systemsIEEE Transactions on Automatic Control, 1978