Title :
Parameterization of positive-real transfer functions with fixed poles
Author :
Dumitrescu, Bogdan
Author_Institution :
Tampere Int. Center for Signal Process., Tampere Univ. of Technol., Finland
fDate :
4/1/2002 12:00:00 AM
Abstract :
A parameterization of continuous-time passive systems (positive real transfer functions) with given poles is proposed. This parameterization has a minimum number of parameters and is suited to convex optimization, especially for semidefinite programming. As an example, we show how to find the best approximation of a stable transfer function with a positive real one, with the same poles
Keywords :
continuous time systems; control system analysis; linear network analysis; linear systems; matrix algebra; optimisation; passive networks; poles and zeros; stability; transfer functions; Kalman-Yakubovich-Popov lemma; continuous-time passive systems; convex optimization; fixed poles; parameterization; passive circuits; passive controllers; positive real transfer functions; semidefinite programming; stable transfer function; Circuit theory; Constraint optimization; Design optimization; Feedback; Integrated circuit interconnections; Passive circuits; Poles and zeros; Polynomials; Robust control; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
