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Abstract: Convex optimisation techniques for solving linear matrix inequalities have been recently applied to robust state-feedback synthesis for uncertain systems. The approach does not seem to extend easily to the output feedback problem. In this paper, we propose a single framework for addressing a number of output feedback stabilization problems for LTI systems. This includes static output feedback stabilization, dynamic reduced-order output-feedback stabilization, reduced-order H1 synthesis and... (Update)
Context of citations to this paper: More
.... that the idea of formulating non convex control problems as an LMI problem with a rank constraint is not new, see for instance [9]. Beyond the scope of systems control, rank constrained LMI problems also occur in mathematical programming and combinatorial optimization. In...
...the above LMI problem sometimes (but not always) results in feasible matrices P; Q that are inverse of each other. It can be shown [3] that when this is the case, there exists a stabilizing, static output feedback controller. That is, the LMI problem (with P = Q Gamma1...
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BibTeX entry: (Update)
L. El Ghaoui and P. Gahinet, Rank Minimization under LMI Constraints: A Framework for Output Feedback Problems, Proceedings of the European Control Conference, Groningen, The Netherlands, 1993. http://citeseer.ist.psu.edu/elghaoui93rank.html More
@misc{ ghaoui93rank,
author = "L. Ghaoui and P. Gahinet",
title = "Rank Minimization under LMI Constraints: A Framework for Output Feedback
Problems",
text = "L. El Ghaoui and P. Gahinet, Rank Minimization under LMI Constraints: A
Framework for Output Feedback Problems, Proceedings of the European Control
Conference, Groningen, The Netherlands, 1993.",
year = "1993",
url = "citeseer.ist.psu.edu/elghaoui93rank.html" }
Citations (may not include all citations):66 Method of centers for minimizing generalized eigenvalues - Boyd, Ghaoui - 1992
48 Self-concordant functions and polynomial time methods in con.. (context) - Nesterov, Nemirovsky - 1990
28 A collection of robust control problems leading to LMI's (context) - Packard, Zhou et al. - 1991
12 A linear programming oriented procedure for quadratic stabil.. (context) - Bernussou, Peres et al. - 1989
4 Review of LFT's (context) - Doyle, Packard et al. - 1991
1 Output feedback stabilization of uncertain systems through a.. (context) - Geromel, Peres et al. - 1993
1 Generalized eigenvalue minimization problems arising in cont.. (context) - Boyd, Ghaoui et al. - 1992
1 A complete state-space solution to the H1 control problem (context) - Gahinet - 1992
The graph only includes citing articles where the year of publication is known.
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