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Paper details
Number 1 - March 1998
Volume 8 - 1998
Unit sliding mode control in infinite dimensional systems
Yuri Orlov, Vadim I. Utkin
Abstract
In contrast to the conventional component-wise design of sliding mode control, a new approach is developed for infinite-dimensional systems. The conventional approach is not applicable since, generally speaking, the infinite-dimensional
control may not be represented in the component form as well as a sliding manifold. The concept of "unit control", previously introduced for finite-dimensional systems, does not depend on the dimension of control and is generalized for the dynamic processes governed by differential equations in Banach and Hilbert spaces. The design methods for heat and mechanical distributed processes are given.
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