Title :
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
fDate :
Aug. 31 1999-Sept. 3 1999
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;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
