Frequency-Limited Model Reduction for Linear Positive Systems: A Successive Optimization Method

• Published in: Applied sciences Vol. 13; no. 6; p. 4039
• Main Authors: Ren, Yingying, Wang, Qian
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.03.2023
• Subjects: Algorithms; Analysis; Approximation; bilinear matrix inequalities; Control theory; Convex analysis; frequency-limited model reduction; Methods; Optimization; positive systems; successive convex optimization algorithm

This paper studies frequency-limited model reduction for linear positive systems. Specifically, the objective is to develop a reduced-order model for a high-order positive system that preserves the positivity, while minimizing the approximation error within a given H∞ upper bound over a limited freq...