BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 54, Issue 1, March 2006

Mechanical Engineering, Control and Informatics

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pp 63 - 73
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Linearization of non-linear state equation
A.J. JORDAN
 

The paper presents an overview of linearization methods of the non-linear state equation. The linearization is developed from the
point of view of the application in the theoretical electrotechnics. Some aspects of these considerations can be used in the control theory. In particular the main emphasis is laid on three methods of linearization, i.e.: Taylor’s series expansion, optimal linearization method and global linearization method. The theoretical investigations are illustrated using the non-linear circuit composed of a solar generator and a DC motor. Finally, the global linearization method is presented using several examples, i.e. the asynchronous slip-ring motor and non-linear diode. Furthermore the principal theorem concerning the BIBS stability (bounded-input bounded state) is introduced.

 
Keywords:
non-linear state equation, linearization, optimal linearization method, global linearization method, Taylor’s series expansion, BIBS stability

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