Abstract
All the design methods that have been considered in this Part are oriented towards the control of dynamic plants described by ordinary differential equations. Theoretical generalizations to the infinite-dimensional cases involve basic difficulties due to the need of constructing a special mathematical apparatus for the study of discontinuous partial differential equations or, stated more generally, discontinuous equations in a Banach space [111]. The method of equivalent control developed in Part I for finite-dimensional systems was shown [110] to be applicable to the distributed systems described by secondorder parabolic or hyperbolic equations with discontinuous distributed or lumped control. A wise range of processes (e.g. thermal and mechanical) is described by the equations of this kind.
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© 1992 Springer-Verlag Berlin, Heidelberg
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Utkin, V.I. (1992). Control of Distributed-Parameter Plants. In: Sliding Modes in Control and Optimization. Communications and Control Engineering Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84379-2_12
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DOI: https://doi.org/10.1007/978-3-642-84379-2_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84381-5
Online ISBN: 978-3-642-84379-2
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