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Design of strictly positive real, fixed-order dynamic compensators

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/20421

Design of strictly positive real, fixed-order dynamic compensators

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Title: Design of strictly positive real, fixed-order dynamic compensators
Author: Abdallah, Chaouki T.; Jacobus, M.; Jamshidi, M.; Dorato, Peter; Bernstein, D.
Subject(s): Closed loop systems
Covariance matrix
Jacobian matrices
Negative feedback
Abstract: The authors present sufficient conditions for the design of strictly positive real (SPR), fixed-order dynamic compensators. The primary motivation for designing SPR compensators is for application to positive real (PR) plants. When an SPR compensator is connected to a PR plant in a negative feedback configuration, the closed loop is guaranteed stable for arbitrary plant variations as long as the plant remains PR. Equations that are a modified form of the optimal projection equations, with the separation principle not holding in either the full- or reduced-order case, are given. A solution to the design equations is shown to exist when the plant is PR (or just stable). Finally, the closed-loop system consisting of a PR plant and an SPR compensator is shown to be S-structured Lyapunov stable.
Date: 1990-12-05
Publisher: IEEE
Citation: Proceedings of the 29th IEEE Conference on Decision and Control, 1990, 6: 3492-3496
Description: Digital Object Identifier : 10.1109/CDC.1990.203452
URI: http://hdl.handle.net/1928/20421

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