NDLI: Bounded real lemmas for fractional order systems

Content Provider	Springer Nature Link
Author	Liang, Shu Wei, Yi Heng Pan, Jin Wen Gao, Qing Wang, Yong
Copyright Year	2015
Abstract	This paper derives the bounded real lemmas corresponding to L $_{∞}$ norm and H $_{∞}$ norm (L-BR and H-BR) of fractional order systems. The lemmas reduce the original computations of norms into linear matrix inequality (LMI) problems, which can be performed in a computationally efficient fashion. This convex relaxation is enlightened from the generalized Kalman-Yakubovich-Popov (KYP) lemma and brings no conservatism to the L-BR. Meanwhile, an H-BR is developed similarly but with some conservatism. However, it can test the system stability automatically in addition to the norm computation, which is of fundamental importance for system analysis. From this advantage, we further address the synthesis problem of H $_{∞}$ control for fractional order systems in the form of LMI. Three illustrative examples are given to show the effectiveness of our methods.
Starting Page	192
Ending Page	198
Page Count	7
File Format	PDF
ISSN	14768186
Journal	International Journal of Automation and Computing
Volume Number	12
Issue Number	2
e-ISSN	17518520
Language	English
Publisher	Institute of Automation, Chinese Academy of Sciences
Publisher Date	2015-03-11
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	Fractional order systems L $_{∞}$ norm H $_{∞}$ norm H $_{∞}$ control bounded real lemmas linear matrix inequality (LMI) Control, Robotics, Mechatronics Computer Applications Computer-Aided Engineering (CAD, CAE) and Design
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Systems Engineering Modeling and Simulation Computer Science Applications

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