On the Design of Robust Controllers for Arbitrary Uncertainty Structures

Constantino M. Lagoa; Xiang Li; Mario Sznaier

doi:10.1109/TAC.2003.819304

On the Design of Robust Controllers for Arbitrary Uncertainty Structures

Constantino M. Lagoa, Xiang Li, Mario Sznaier

Electrical Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The focal point of this note is the design of robust controllers for linear time-invariant uncertain systems. Given bounds on performance (defined by a convex performance evaluator) the algorithm converges to a controller that robustly satisfies the specifications. The procedure introduced has its basis on stochastic gradient algorithms and it is proven that the probability of performance violation tends to zero with probability one. Moreover, this algorithm can be applied to any uncertain plant, independently of the uncertainty structure. As an example of application of this new approach, we demonstrate its usefulness in the design of robust H₂ controllers.

Original language	English (US)
Pages (from-to)	2061-2065
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	48
Issue number	11
DOIs	https://doi.org/10.1109/TAC.2003.819304
State	Published - Nov 2003

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2003.819304

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abstract = "The focal point of this note is the design of robust controllers for linear time-invariant uncertain systems. Given bounds on performance (defined by a convex performance evaluator) the algorithm converges to a controller that robustly satisfies the specifications. The procedure introduced has its basis on stochastic gradient algorithms and it is proven that the probability of performance violation tends to zero with probability one. Moreover, this algorithm can be applied to any uncertain plant, independently of the uncertainty structure. As an example of application of this new approach, we demonstrate its usefulness in the design of robust H2 controllers.",

author = "Lagoa, {Constantino M.} and Xiang Li and Mario Sznaier",

note = "Funding Information: Manuscript received March 27, 2003; revised June 25, 2003. Recommended by Associate Editor T. Iwasaki. This work was supported by the National Science Foundation under Grant ECS-9984260 and Grant ECS-0115946, and by the Air Force Office of Scientific Research under Grant AFSOR-F49620-00-1-0020.",

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AU - Li, Xiang

AU - Sznaier, Mario

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On the Design of Robust Controllers for Arbitrary Uncertainty Structures

Abstract

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