Title
Robust Multi-Objective Feedback Design with Linear Guaranteed-Cost Bounds
Abstract
This paper considers the problem of designing a state-feedback control law which “minimizes” multiple quadratic performance objectives in the presence of uncertain linear plant dynamics. Vector optimization techniques are used to minimize upper-bounds on each performance objective (guaranteed-cost). By exploiting the linear uncertainty bound introduced by Bernstein (1987), the vector optimization problem is scalarized and Pareto optimal solutions are computed. The theory is applied to a numerical example with two quadratic performance measures.
Year
DOI
Venue
1998
10.1016/S0005-1098(98)00062-4
Automatica
Keywords
Field
DocType
Multi-objective optimization,guaranteed-cost,state feedback,generalized algebraic Riccati equation,linear matrix inequalities
Mathematical optimization,Linear system,Control theory,Vector optimization,Quadratic equation,Multi-objective optimization,Riccati equation,Quadratic programming,Robust control,Linear matrix inequality,Mathematics
Journal
Volume
Issue
ISSN
34
10
0005-1098
Citations 
PageRank 
References 
2
0.44
0
Authors
3
Name
Order
Citations
PageRank
Peter Dorato116519.52
Laura Menini234444.96
C TREML320.44