An algorithm for simultaneous stabilization using decentralized constant gain output feedback

An algorithm which solves, numerically, the simultaneous stabilization problem using a constant gain decentralized control law is presented. The algorithm is determined from the necessary conditions for minimizing an optimal control problem. The optimal control problem consists of n plant models eac...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1993-03, Vol.38 (3), p.450-455
Main Authors: Broussard, J.R., McLean, C.S.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Cost function
Design optimization
Distributed control
Exact sciences and technology
Feedback control
Force feedback
Instruments
Optimal control
Output feedback
Scheduling algorithm
State feedback
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Summary:An algorithm which solves, numerically, the simultaneous stabilization problem using a constant gain decentralized control law is presented. The algorithm is determined from the necessary conditions for minimizing an optimal control problem. The optimal control problem consists of n plant models each with its own cost function. The costs are summed to create an average cost function and equality constraints are added to yield the decentralized control structure. The algorithm can start with any stabilizing full state feedback gain for each model and will converge to the optimal constant feedback gain for all models assuming a solution exists. Examples of the algorithm are given for Kharitonov synthesis and optimal gain scheduled control law synthesis using output feedback.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.210143