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Control design using Jordan controllable canonical form

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1 Author(s)
Busawon, K.K. ; Sch. of Eng., Univ. of Northumbria at Newcastle, Newcastle upon Tyne, UK

Presents a control design strategy for a class of single-input nonlinear dynamical systems. The design consists in transforming the system into a new controllable canonical form which we call the Jordan controllable canonical form (JCCF). In fact, the Brunowski controllable canonical form is a special case of the JCCF. We first show that any controllable pair can be transformed into the JCCF. We next extend the result to a controllable pair which is state dependent. Using this extended Jordan controllable canonical form we propose a control design strategy for a class of single-input control affine systems. The design is simple and systematic and provides two degrees of freedom to fix the convergence of the closed-loop system. An example is given to illustrate the control design

Published in:

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on  (Volume:4 )

Date of Conference:

2000