Input‐to‐state stability of a class of Lur'e descriptor systems | Zendy

Yang Chunyu | Zendy; Zhang Qingling | Zendy; Huang Shoudong | Zendy

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Input‐to‐state stability of a class of Lur'e descriptor systems

Author(s) -

Yang Chunyu,

Zhang Qingling,

Huang Shoudong

Publication year - 2013

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.2821

Subject(s) - control theory (sociology) , class (philosophy) , stability (learning theory) , state (computer science) , controller (irrigation) , full state feedback , mathematics , computer science , control (management) , artificial intelligence , algorithm , machine learning , agronomy , biology

SUMMARY This paper considers a class of Lur'e descriptor systems (LDS) subject to exogenous disturbances. The concept of input‐to‐state stability (ISS) is generalized to descriptor systems. Such a notion characterizes the robust stability of the full state of the systems. Based on the conventional ISS theory, a sufficient condition expressed by linear matrix inequalities (LMIs) for the LDS to be ISS is derived. It is further shown that this condition also guarantees a special class of LDS to be of index one. Then, a state feedback controller is designed to make the closed‐loop system ISS. Finally, an example is given to illustrate the obtained results. Copyright © 2012 John Wiley & Sons, Ltd.

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