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Generalized H2 Static Output Feedback Control for Continuous-Time Systems

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Frontiers in Computer Education

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 133))

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Abstract

This paper is concerned with the design problem of generalized H2 static output feedback (SOF) for continuous-time systems. Due to the fact that SOF control is the simplest closed-loop control and the controller can be easily implemented in practice, the design of SOF controllers has attracted considerable attention. However, analytic solutions were generally given in terms of bilinear matrix inequalities (BMIs). Moreover, how to efficiently solve the BMIs is still a challenging problem. In this paper, a virtual output generator is used such that the states follow the input of the generator. The design of SOF controllers is converted into a design of state feedback controllers. In order to suppress the external disturbance, we adopt the generalized H2 (energy-to-peak) performance index. Sufficient conditions for the existence of the controller and for the solvability of the addressed problem are given in terms of a set of linear matrix inequalities (LMIs).

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Authors and Affiliations

  1. State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun, Jilin, 130025, China

    Wang Zhaojian & Zhang Jianwei

  2. Changchun Institute of Engineering and Technique, Changchun, Jilin, 130117, China

    Wang Zhaojian & Cao Shuang

Authors
  1. Wang Zhaojian
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  2. Zhang Jianwei
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  3. Cao Shuang
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Corresponding author

Correspondence to Wang Zhaojian .

Editor information

Editors and Affiliations

  1. South China Normal University, Guangzhou, 510631, China, People's Republic

    Sabo Sambath

  2. South China Normal University, Guangzhou, 510631, China, People's Republic

    Egui Zhu

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Zhaojian, W., Jianwei, Z., Shuang, C. (2012). Generalized H2 Static Output Feedback Control for Continuous-Time Systems. In: Sambath, S., Zhu, E. (eds) Frontiers in Computer Education. Advances in Intelligent and Soft Computing, vol 133. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27552-4_142

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  • DOI: https://doi.org/10.1007/978-3-642-27552-4_142

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27551-7

  • Online ISBN: 978-3-642-27552-4

  • eBook Packages: EngineeringEngineering (R0)

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