Title :
Frequency response error bounds for time-weighted balanced truncation
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Western Australia, Nedlands, WA, Australia
Abstract :
Balanced truncation is one of the most popular techniques in model reduction and was first proposed by Moore (1981) for linear continuous systems. The technique is based on finding a balanced realization of the system and truncating the least controllable and observable states to find the reduced order model. The technique was extended to the reduction of discrete systems in Pernebo and Silverman (1982). In Schelfhout and De Moor (1995), a time-weighted balanced truncation method was presented for obtaining the reduced-order models. In this paper, we present the frequency response error bounds for their technique.
Keywords :
continuous time systems; controllability; discrete time systems; frequency response; observability; controllability Gramians; discrete-time systems; frequency response error bounds; linear time-invariant continuous-time system; observability Gramians; time-weighted balanced truncation; Australia Council; Continuous time systems; Controllability; Equations; Error correction; Frequency response; Observability; Reduced order systems; Stability; Weight control;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184388
