DocumentCode :
2171748
Title :
Polytopic invariant sets for continuous-time systems
Author :
Blanco, Toni Barjas ; De Moor, Bart
Author_Institution :
Dept. of Electr. Eng., Katholieke Univ. Leuven, Leuven, Belgium
fYear :
2007
fDate :
2-5 July 2007
Firstpage :
5087
Lastpage :
5093
Abstract :
In Model Predictive Control stability can be guaranteed by the use of an invariant terminal set. In this paper a numerical method is described concerning the computation of a low-complexity polytopic-invariant set for linear and nonlinear continuous time-systems subject to state, input and rate constraints. The method determines an (sub)optimal linear feedback gain w.r.t. the volume of the invariant polytope. A trade-off between optimality of the feedback gain and the volume of the invariant polytope is made by use of a tuning parameter.
Keywords :
continuous time systems; feedback; linear systems; nonlinear systems; numerical analysis; set theory; input constraints; invariant terminal set; linear continuous time-systems; low-complexity polytopic-invariant set; model predictive control stability; nonlinear continuous time-systems; numerical method; rate constraints; state constraints; suboptimal linear feedback gain; tuning parameter; Eigenvalues and eigenfunctions; Gain; Nonlinear systems; Optimization; Trajectory; Tuning; Vectors; Constrained control; Linear systems; Nonlinear systems; Optimization; Polytopic invariant sets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
Type :
conf
Filename :
7068941
Link To Document :
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