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**Harvard**

Bruzelius, F. (2004) *Linear Parameter-Varying Systems - an approach to gain scheduling*. Göteborg : Chalmers University of Technology (Technical report - School of Electrical Engineering, Chalmers University of Technology, Göteborg, Sweden, nr: 472).

** BibTeX **

@book{

Bruzelius2004,

author={Bruzelius, Fredrik},

title={Linear Parameter-Varying Systems - an approach to gain scheduling},

isbn={91-7291-394-0},

abstract={In recent years the interest for gain scheduling methods has increased. Gain scheduling is a collection of methods that try to tackle the challenging problem of nonlinear control in a divide and conquer manner. The use of local linear system theory to obtain a non-local controller is the fundament of the gain scheduling methods. However, the local descriptions of the nonlinear system cannot capture the non-local behavior. Hence, gain scheduling methods may not result in a controller that meets the specifications of the feedback system. Introducing Linear Parameter-Varying (LPV) systems as an intermediate system description in the controller synthesis enables a systematic way of obtaining the nonlinear controller in a linear-like fashion. <p />In this thesis, LPV systems are investigated in a gain scheduling context. The non-trivial procedure of describing a nonlinear system in the LPV form is investigated and different approaches to obtain an LPV system that is suitable for synthesis purposes are presented. <p />Computational aspects, in terms of parameterized linear matrix inequalities, of LPV controller synthesis in an L2 gain framework is investigated. A procedure to obtain a fixed order LPV controller is presented. Finally, it is shown that a controller obtained by LPV based gain scheduling gives the expected nonlinear non-local behavior of the feedback system in a domain that is readily determined from the LPV synthesis. <p />The consequence of the results in this thesis is that the obtained controller in closed loop meets certain specifications of the closed loop system. The synthesis can be done in a computationally tractable and systematic way. Hence, the LPV based gain scheduling approach is a worthy competitor to other controller synthesis methods for nonlinear systems.},

publisher={Institutionen för signaler och system, Chalmers tekniska högskola,},

place={Göteborg},

year={2004},

series={Technical report - School of Electrical Engineering, Chalmers University of Technology, Göteborg, Sweden, no: 472Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2076},

keywords={linear parameter-varying systems, gain scheduling, nonlinear L2/l2 control, h-inf control, linear matrix inequalities},

note={164},

}

** RefWorks **

RT Dissertation/Thesis

SR Print

ID 79

A1 Bruzelius, Fredrik

T1 Linear Parameter-Varying Systems - an approach to gain scheduling

YR 2004

SN 91-7291-394-0

AB In recent years the interest for gain scheduling methods has increased. Gain scheduling is a collection of methods that try to tackle the challenging problem of nonlinear control in a divide and conquer manner. The use of local linear system theory to obtain a non-local controller is the fundament of the gain scheduling methods. However, the local descriptions of the nonlinear system cannot capture the non-local behavior. Hence, gain scheduling methods may not result in a controller that meets the specifications of the feedback system. Introducing Linear Parameter-Varying (LPV) systems as an intermediate system description in the controller synthesis enables a systematic way of obtaining the nonlinear controller in a linear-like fashion. <p />In this thesis, LPV systems are investigated in a gain scheduling context. The non-trivial procedure of describing a nonlinear system in the LPV form is investigated and different approaches to obtain an LPV system that is suitable for synthesis purposes are presented. <p />Computational aspects, in terms of parameterized linear matrix inequalities, of LPV controller synthesis in an L2 gain framework is investigated. A procedure to obtain a fixed order LPV controller is presented. Finally, it is shown that a controller obtained by LPV based gain scheduling gives the expected nonlinear non-local behavior of the feedback system in a domain that is readily determined from the LPV synthesis. <p />The consequence of the results in this thesis is that the obtained controller in closed loop meets certain specifications of the closed loop system. The synthesis can be done in a computationally tractable and systematic way. Hence, the LPV based gain scheduling approach is a worthy competitor to other controller synthesis methods for nonlinear systems.

PB Institutionen för signaler och system, Chalmers tekniska högskola,

T3 Technical report - School of Electrical Engineering, Chalmers University of Technology, Göteborg, Sweden, no: 472Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2076

LA eng

OL 30