Abstract
This paper introduces a technique for solving the problem of control synthesis for linear systems with constraints on the controls. Taking a scheme based on the notion of extremal aiming strategies of N. N. Krasovski, the present paper concentrates on constructive solutions generated through ellipsoidal-valued calculus and related approximation techniques for set-valued maps. Namely, the primary problem which originally requires an application of set-valued analysis is substituted by one which is based on ellipsoidal-valued functions. This yields constructive schemes applicable to algorithmic procedures and simulation with computer graphics.
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References
Krasovski, N.N. The Control of a Dynamic System, Nauka, Moscow, 1986.
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Kurzhanski, A.B., Vályi, I. (1991). Ellipsoidal Techniques for the Problem of Control Synthesis. In: Byrnes, C.I., Kurzhansky, A.B. (eds) Nonlinear Synthesis. Progress in Systems and Control Theory, vol 9. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2135-5_12
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DOI: https://doi.org/10.1007/978-1-4757-2135-5_12
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3484-1
Online ISBN: 978-1-4757-2135-5
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