Title | ||
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Stability and performance in the presence of magnitude bounded real uncertainty: Riccati equation based state space approaches |
Abstract | ||
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Abstract This paper is concerned,with Riccati-equation-based analysis methods,for determining,stability and performance,of perturbed feedback systems. The elements of the state-space representation of the systems are assumed to be linearly perturbed with real, magnitude-bounded uncertainties. Performance is defined as the value of the H, norm of the transfer function of interest. An analysis method based on checking the existence of a common,solution to a finite set of Riccati inequalities is proposed; it represents a nonconvex optimization problem. This problem,is then transformed into a convex optimization problem,by the use of properties of certain matrix inequalities. |
Year | DOI | Venue |
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1992 | 10.1016/0005-1098(92)90045-H | Automatica |
Keywords | Field | DocType |
Stability,performance,robustness,Riccati equation,convex optimization | Mathematical optimization,Finite set,Mathematical analysis,Control theory,Riccati equation,Algebraic Riccati equation,Linear-quadratic regulator,State space,Optimization problem,Convex optimization,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
28 | 4 | 0005-1098 |
Citations | PageRank | References |
2 | 15.52 | 1 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Dragan Obradovic | 1 | 71 | 27.12 |
lena valavani | 2 | 30 | 26.78 |
decision systems | 3 | 159 | 34.45 |