Abstract
In this paper we show how to compute suboptimal H ∞ controllers, for a class of (possibly) unstable and (possibly) infinite dimensional plants, from a finite set of linear equations. A solution to the H ∞ suboptimal control problem for infinite dimensional stable plants was obtained in [6]. Also, in [13] and [14] the H ∞ optimal control problem was solved for unstable distributed plants. Our solution for the suboptimal control problem of unstable distributed plants is based on the techniques developed in [6] and [13]. We obtain a computable expression for the suboptimal H ∞ controllers and identify their finite and infinite dimensional parts.
Department of Electrical Engineering, The Ohio State University, Columbus, OH 43210. This research was supported in part by the Institute for Mathematics and its Applications with funds provided by the National Science Foundation.
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© 1995 Springer-Verlag New York, Inc.
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Toker, O., Özbay, H. (1995). On the Computation of Suboptimal H ∞ Controllers for Unstable Infinite Dimensional Systems. In: Francis, B.A., Khargonekar, P.P. (eds) Robust Control Theory. The IMA Volumes in Mathematics and its Applications, vol 66. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8451-9_6
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DOI: https://doi.org/10.1007/978-1-4613-8451-9_6
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