Normalized H(infinity) controller reduction with A Priori error bounds

Journal article

This note describes an approach to the reduction of controllers for the normalized coprime factor robustness problem as well as the normalized H∞ problem. It is shown that a relative error approximation of a coprime factor representation of any suboptimal controller leads to a stability guarantee and an upper bound on the performance degradation when the reduced order controller is implemented. When the approximation is performed on the controller generator, guaranteed a priori stability and performance bounds are obtained in terms of the synthesis Riccati equation solutions of the normalized H∞ control problems.

Authors: El-Zobaidi, H; Jaimoukha, I; Limebeer, D

• Publication status: Published
• Journal: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• Volume: 46
• Issue: 9
• Pages: 1477-1483
• Publication date: 2001-09-01
• DOI: 10.1109/9.948481
• ISSN: 0018-9286
• Language: English
• Keywords: controller reduction; H(infinity) control