Reliable control of decentralized systems: An ARE-based H(infinity) approach
Veillette, Robert Joseph
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https://hdl.handle.net/2142/20572
Description
Title
Reliable control of decentralized systems: An ARE-based H(infinity) approach
Author(s)
Veillette, Robert Joseph
Issue Date
1990
Doctoral Committee Chair(s)
Medanic, Juraj V.
Department of Study
Electrical and Computer Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
This thesis presents a new method of decentralized linear, time-invariant control system synthesis based on the algebraic Riccati equation (ARE). The basic decentralized design guarantees closed-loop stability and a predetermined level of worst-case disturbance attenuation. Certain modifications of the basic design guarantee the stability and disturbance attenuation to be robust despite plant uncertainty or reliable despite control-component outages. Other modifications guarantee that a subset of the controllers will be open-loop stable.
The derived decentralized control laws consist of a full-order observer of the plant in each control channel. Each observer includes estimates of the controls generated by the other channels and of plant disturbance inputs, based on its own estimate of the state of the plant. All of the observer gains are computed from the solution of a single Riccati-like algebraic equation, while feedback gains are computed from a state-feedback design ARE. The existence of appropriate solutions to the design equations is sufficient to guarantee the various properties of the closed-loop system.
A convexity property of a certain matrix Riccati function allows parameterization of families of control laws with the same desired properties. Each value of the parameter results in controller realizations of the same order as the plant.
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