Hinfinity control under asymptotic tracking constraint and nonproper output weights

• Published in: International journal of control
• Main Authors: Yagoubi, Mohamed, Feng, Yu, Huang, Yanyu
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 04.01.2019
• Subjects: Automatic Control Engineering; Computer Science; nonproper weights; reduced-order controller; H∞ performance; Asymptotic tracking; controller parameterization; robust control
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207179.2018.1562223

This paper presents a complete solution to the measurement output feedback H∞control problem subject to asymptotic tracking of an infinite energy reference andthe presence of nonproper output weights. Relying on generalized Sylvester-typeequations, a set of all stabilizing controllers is characterized, explicitly exhibitingthe impacts of the reference signal and the output weight on the resulting con-trollers. Based on this specific parameterization, additional disturbance attenuationis tackled, and both full-order and reduced-order controller synthese are discussed. Itis observed that the multiobjective problem is equivalent to a standard problem foran axillary system constructed from the original weighted system with the controlinput matrix and measurement output matrix being augmented by solutions to gen-eralized Sylvester-type equations. An example is included to show the effectivenessof the present results.