Control of Distributed-Parameter Plants

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.