@article {Dun:January 2009:0020-7179:74, author = "Dun, Ao", author = "Geng, Zhiyong", author = "Huang, Lin", title = "Robust analysis and synthesis for the gradient-like behaviour of uncertain pendulum-like systems", journal = "International Journal of Control", volume = "82", year = "January 2009", abstract = "This paper focuses on uncertain pendulum-like systems subject to norm constraint structured uncertainties, and addresses the robust gradient-like behaviour analysis and synthesis problems for such systems. By applying the structured singular value of an operator to structured uncertainty, the results on robust analysis for the gradient-like behaviour of uncertain pendulum-like systems are obtained. Based on the analysis results, using KYP lemma, a dynamic output feedback controller for the closed loop system guaranteeing gradient-like behaviour is designed and the controller parameters are explicitly expressed by a set of feasible solutions of corresponding linear matrix inequalities. Finally two numerical examples are presented to demonstrate the applicability and validity of the proposed approach.", pages = "74-85(12)", url = "http://www.ingentaconnect.com/content/tandf/tcon/2009/00000082/00000001/art00006" doi = "doi:10.1080/00207170801993413" }