Nonlinear control of a continuously variable transmission using hyperstability theory

Author

Sackmann, Martin S. ; Krebs, Volker G.

Author_Institution

Inst. fur Regelungs- und Steuerungssyst., Univ. Karlsruhe (TH), Karlsruhe, Germany

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

1570

Lastpage

1575

Abstract

Nonlinear control design methods using Popov´s hyperstability theory which have been developed so far are applicable for systems with linear feedforward components only. In this contribution the existing criterion of hyperstability is extended to systems with nonlinear feedforward blocks. A new design strategy is proposed taking advantage of particular properties of the Hamilton matrix used in LQ control. The efficiency of the method is demonstrated by the controller design of a continuously variable transmission of a car.

Keywords

automobiles; control system synthesis; feedforward; linear quadratic control; linear systems; nonlinear control systems; power transmission (mechanical); stability; suboptimal control; Hamilton matrix; LQ control; continuously variable car transmission; hyperstability criterion; hyperstability theory; linear feedforward components; nonlinear control design methods; nonlinear feedforward blocks; Asymptotic stability; Eigenvalues and eigenfunctions; Feedforward neural networks; Nonlinear systems; Optimal control; Stability criteria; Symmetric matrices; Hamilton matrix; Nonlinear control; continuously variable transmission; hyperstability theory; suboptimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099536