A new approach for the decoupling with simultaneous disturbance rejection (DDR) problem for nonlinear systems. Application in induction motor control

Tsirikos, AS; Mastorakis, NE

dc.contributor.author	Tsirikos, AS	en
dc.contributor.author	Mastorakis, NE	en
dc.date.accessioned	2014-03-01T01:48:29Z
dc.date.available	2014-03-01T01:48:29Z
dc.date.issued	1999	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25488
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-4944241414&partnerID=40&md5=4676d41ea50f6053dd2db18466376591	en
dc.subject	Decoupling control problem	en
dc.subject	Induction Motor Control Disturbance Rejection	en
dc.subject	Nonlinear Systems	en
dc.subject	Partial differential equations	en
dc.subject	Simultaneous	en
dc.subject.other	Algorithms	en
dc.subject.other	Closed loop control systems	en
dc.subject.other	Feedback control	en
dc.subject.other	Induction motors	en
dc.subject.other	Linearization	en
dc.subject.other	Magnetic flux	en
dc.subject.other	Mathematical models	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Induction motor control	en
dc.subject.other	Nonlinear models	en
dc.subject.other	Static state feedback	en
dc.subject.other	Nonlinear systems	en
dc.title	A new approach for the decoupling with simultaneous disturbance rejection (DDR) problem for nonlinear systems. Application in induction motor control	en
heal.type	journalArticle	en
heal.publicationDate	1999	en
heal.abstract	A new approach to the decoupling with simultaneous disturbance rejection (DDR) problem via static state feedback is presented and in the sequel it is applied to the nonlinear model of an induction motor. The proposed approach reduces the problem of determining the admissible state feedback control law to the solution of a system of first order partial differential equations. Based on these equations, the following two aspects with regard to the DDR problem are derived: (a) necessary and sufficient conditions for the problem to have a solution and (b) the general analytical solution for all the admissible feedback control laws. Applying this approach to the induction motor, the general analytical expression for the control law, which leads to a decoupled closed loop system whose outputs are not affected by the load torque (considered as a disturbance), is produced. Moreover, it is proven that appropriate selection of the arbitrary degrees of freedom of the control law leads to a closed loop system with linear input-output (i/o) description. Furthermore, the problem of bounded angular velocity is treated and the appropriate controller is designed.	en
heal.publisher	World Scientific and Engineering Academy and Society	en
heal.journalName	Physics and Modern Topics in Mechanical and Electrical Engineering	en
dc.identifier.spage	19	en
dc.identifier.epage	30	en