Sliding Mode Control in Banach Space

Autor: Yu.V. Orlov
Rok vydání: 1995
Předmět:
Zdroj: IFAC Proceedings Volumes. 28:473-476
ISSN: 1474-6670
DOI: 10.1016/s1474-6670(17)46874-1
Popis: The regularization principle is considered to describe sliding motion in Banach space. The equivalent control method is proved in application to infinite-dimensional dynamic systems of parabolic type. According to the method unlike that of (Orlov and Utkin, 1987) the sliding motion can be described by the sliding mode equation in the subspace but not in the original space. The decoupling synthesis procedure based on the method is proposed. The concept of the ”unit control” is introduced in Banach space. Using the decoupling synthesis procedure it is shown that the unit control can be designed for stabilization of uncertain dynamic systems in Banach space. The unit control solving the same stabilization problem in Hilbert space is found in the explicit form.
Databáze: OpenAIRE