Abstract
This paper develops a decentralized control design which provides robust H ∞ disturbance rejection for a plant with structured uncertainty in a bounded admissible set. The design consists of an observer in each control channel, which includes estimates of the controls generated in the other channels and of the worst disturbance as determined by a state-feedback H ∞ solution. The observer gains are computed from a positive-definite solution of a Riccati-like algebraic equation. A convexity property of a matrix Riccati function is used to compute for the closed-loop system an H ∞-norm bound smaller than the predetermined bound, and to find an enlarged admissible set of plant uncertainities.
This work was supported by the Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratory (AFSC), USAF; by the Joint Services Electronics Program under Grant N00014-90-J-1270; and by Sundstrand Corporation.
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Veillette, R.J., Medanić, J.V., Perkins, W.R. (1990). Robust Stabilization and Disturbance Rejection for Uncertain Systems by Decentralized Control. In: Hinrichsen, D., Mårtensson, B. (eds) Control of Uncertain Systems. Progress in Systems and Control Theory, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2108-9_17
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DOI: https://doi.org/10.1007/978-1-4757-2108-9_17
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