NDLI: $H^{∞}$ mixed-sensitivity optimization for distributed parameter plants subject to convex constraints

Content Provider	IEEE Xplore Digital Library
Author	Cifdaloz, O. Rodriguez, A.A. McCullen, R. Dickeson, J.
Copyright Year	2007
Description	Author affiliation: Arizona State Univ., Tempe (Cifdaloz, O.; Rodriguez, A.A.; McCullen, R.; Dickeson, J.)
Abstract	This paper focuses on $H^{infin}$ near-optimal finite- dimensional compensator design for linear time invariant (LTI) distributed parameter plants subject to convex constraints. The distributed parameter plant is first approximated by a finite dimensional approximant. For unstable plants, the coprime factors are approximated by their finite dimensional approximants. The Youla parameterization is then used to parameterize the set of all stabilizing LTI controllers and formulate a weighted mixed-sensitivity $H^{infin}$ optimization that is convex in the Youla Q-parameter. A finite-dimensional (real- rational) stable basis is used to approximate the Q-parameter. By so doing, the associated infinite-dimensional optimization problem is transformed to a finite-dimensional optimization problem involving a search over a finite-dimensional parameter space. In addition to solving weighted mixed-sensitivity $H^{infin}$ control system design problems, subgradient concepts are used to directly accommodate time-domain specifications (e.g. peak value of control action, overshoot) in the design process. As such, a systematic design methodology is provided for a large class of distributed parameter plant control system design problems. Convergence results are presented. An illustrative examples for a hypersonic vehicle is provided. In short, the approach taken permits a designer to address control system design problems for which no direct method exists.
Starting Page	866
Ending Page	871
File Size	351253
Page Count	6
File Format	PDF
ISBN	9781424414970
ISSN	01912216
DOI	10.1109/CDC.2007.4435029
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control systems Constraint optimization Design optimization Process design Design methodology Distributed control Fluid dynamics Educational technology Hydrogen USA Councils
Content Type	Text
Resource Type	Article

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