Analysis and synthesis of nonlinear control systems

Date
1996
Authors
Lin, Shan
Journal Title
Journal ISSN
Volume Title
Publisher
Source URI
Altmetrics
Authors
Research Projects
Organizational Units
Mathematics
Organizational Unit
Journal Issue
Series
Abstract

In this dissertation, regular nonlinear control systems of the form .x=X0(x)+[sigma]spi=1m uiXi(x) are considered. Necessary and sufficient conditions are given for a point to be reached from one of its entire neighborhoods in finite time by a piece-wise analytic feedback controller. Under such a feedback controller, the domain of attraction of the point is maximal. In particular, necessary and sufficient conditions on stabilization of a point or a periodic orbit in two dimension flat space are given. Moreover, practical examples are discussed and some interesting results are derived. Finally, when one dimensional systems are considered, precise criteria for control, stabilization, and existence of invariant sets under large disturbances are given.

Description
Keywords
Mathematics, Electrical and computer engineering, Applied mathematics, Electrical engineering (Communications and signal processing), Communications and signal processing
Citation