Title :
Model reduction using LMIs
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
Abstract :
This paper treats the problem of approximating an nth order continuous system by a system of order k<n. Optimal solutions minimizing the H∞ norm of the approximation error exist for k=0, n-1. This paper presents an iterative two-step LMI method for improving the H∞ model error compared to Hankel norm reduction
Keywords :
iterative methods; matrix algebra; minimisation; reduced order systems; H∞ model error; H∞ norm minimisation; Hankel norm reduction; approximation error; continuous system; iterative two-step linear matrix inequality method; model reduction; Algorithm design and analysis; Approximation error; Continuous time systems; Convergence; H infinity control; Iterative algorithms; Iterative methods; Linear matrix inequalities; Reduced order systems; Symmetric matrices;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411635
