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Sparse structured non-fragile H ∞ controller design for linear systems

  • Control Theory
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Abstract

This paper presents a study on the problem of designing non-fragile H ∞ controllers with sparse structures for linear continuous-time systems. A new algorithm is proposed to define and further design sparse structured controllers. Firstly, sparse structures are specified from a given fully parameterized H ∞ controller. Then, a three-step design procedure for non-fragile dynamic output feedback H ∞ controllers with the sparse structures is provided. The resulting designs guarantee that the closed-loop system is asymptotically stable and the H ∞ performance from the disturbance to the regulated output is less than a prescribed level. A numerical example is given to illustrate the design methods.

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Author information

Authors and Affiliations

  1. Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang, 110044, China

    Wei-Wei Che & Xiao-Zheng Jin

  2. College of Information Science and Engineering, Northeastern University, Shenyang, 110004, P. R. China

    Guang-Hong Yang

  3. Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeastern University, Shenyang, 110004, P. R. China

    Guang-Hong Yang

Authors
  1. Wei-Wei Che
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  2. Guang-Hong Yang
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  3. Xiao-Zheng Jin
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Corresponding author

Correspondence to Wei-Wei Che.

Additional information

Recommended by Editorial Board member Duk-Sun Shim under the direction of Editor Yoshito Ohta.

This work is partially supported by the Funds of National Science of China (Grant No. 61104106, 61273148, 61104029). and the Natural Science Foundation of Liaoning Province (Grant No. 201202156), and by Program for Liaoning Excellent Talents in University (LJQ2012100), the National 973 Programme of China (No. 2009CB320604), the funds for the Author of National Excellent Doctoral Dissertation of People’s Republic of China (No. 201157), the Fundamental Research Funds for the Central Universities (No. N110804001).

Wei-Wei Che received her B.S. and M.S. degrees in Mathematics from Bohai University, China, in 2002 and 2005, respectively, and her Ph.D. degree in Control Engineering from Northeastern University, China, in 2008. She joined the EEE of Nanyang Technological University from Oct. 2008 to Oct. 2009 as a Postdoctoral Fellow. Her research interest includes non-fragile control, quantization control and their applications to networked control system design.

Guang-Hong Yang received his B.S. and M.S. degrees in Mathematics from Northeast University of Technology, China, in 1983 and 1986, respectively, and his Ph.D. degree in Control Engineering from Northeastern University, China, in 1994. He was a Lecturer/Associate Professor with Northeastern University from 1986 to 1995. He joined the Nanyang Technological University in 1996 as a Postdoctoral Fellow. From 2001 to 2005, he was a Research Scientist/Senior Research Scientist with the National University of Singapore. His current research interests include fault-tolerant control, fault detection and isolation, non-fragile control systems design. He is an Associate Editor for the International Journal of Control, Automation, and Systems (IJCAS), and the International Journal of Systems Science (IJSS).

Xiao-Zheng Jin received his B.S. degree in Electromechanical Engineering from Zhejiang SCI-TECH University, Hangzhou, China, in 2004, and his Ph.D. degree in Control Theory and Control Engineering from Northeastern University, Shenyang, China, in 2010. His research interests include fault-tolerant control and synchronization of complex networks.

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Che, WW., Yang, GH. & Jin, XZ. Sparse structured non-fragile H ∞ controller design for linear systems. Int. J. Control Autom. Syst. 11, 704–710 (2013). https://doi.org/10.1007/s12555-012-9108-2

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  • DOI: https://doi.org/10.1007/s12555-012-9108-2

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