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An LMI Approach to Multiobjective Control via Static Output Feedback

In this thesis, LMI approach is employed to design a static output feedback controller so that all poles of the considered closed-loop continuous-time system are located within a prescribed LMI region, named D region. Based on the coordinate transformation, an analysis about the derived LMI-based sufficient condition is also established. The result is, moreover, extended to treat pole placement in the generalized LMI region, denoted by DR region. In addition to the requirement on pole location, two commonly exploited system performances in robust control, i.e. the H2 and Hinf designs, are also considered so that the multiobjective control by static output feedback is investigated in this thesis. To address robustness issue of the designed controllers, three different uncertainty descriptions, i.e. norm bounded uncertainty, positive real uncertainty, and polytopic uncertainty, are considered and LMI conditions for quadratic D stabilization by static output feedback have been derived. The bounded realness and positive realness with respect to an LMI D region are studied as well. Numerical examples are provided in the end of chapters 3, 4, and 5 to illustrate the obtained results there.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0708104-174126
Date08 July 2004
CreatorsLin, Chao-Yen
ContributorsChih-Chiang Cheng, Jer-Guang Hsieh, Li Lee, Shiang-Hwua Yu
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0708104-174126
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