Abstract
In this paper, we discuss modifications to the reduced order control design framework of [2] which preserve stability of the closed loop systems. The reduced order framework yields low order compensator based controllers for PDE control problems. Stability of the low order systems is guaranteed through solution of an optimization problem which incorporates a logarithmic barrier function. The method is tested numerically on a one dimensional, damped, hyperbolic system.
This research was supported in part by the Alexander von Humboldt Stiftung fellowship at Universität Trier, Germany in addition to the National Science Foundation under grant DMS-9622842, and by the Air Force Office of Scientific Research under grants F49620-93-1-0280 and F49620-96-1-0329.
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King, B.B., Sachs, E.W. (1998). Optimization Techniques for Stable Reduced Order Controllers for Partial Differential Equations. In: Optimal Control. Applied Optimization, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6095-8_13
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DOI: https://doi.org/10.1007/978-1-4757-6095-8_13
Publisher Name: Springer, Boston, MA
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