NDLI: Feedback control of continuous Nonlinear System based on interpolation analysis

Content Provider	IEEE Xplore Digital Library
Author	Huang Hongyi Peng Xiafii Tao Lili
Copyright Year	2011
Description	Author affiliation: Department of Automation, Xiamen Univ., Fujian 361005, China (Peng Xiafii; Tao Lili) \|\| Department of Computer Science, Xiamen Univ., Fujian 361005, China (Huang Hongyi)
Abstract	A new linear matrix inequation (LMI) approach is studied for a class of continuous Nonlinear System, which is simple and easy to use. By means of interpolation analysis, the precondition that the closed -loop Nonlinear System is asymptotically stable is reduced to that each of a group of linear matrix inequations is separately solvable. Firstly, employing Neville's algorithm and Newton's Interpolation formula that are used to construct Lagrange interpolation polynomial, we deduce that a class of Nonlinear matrix inequation on D is solvable if and only if each of a group of linear matrix inequations is solvable. Furthermore, the expression of relation between the solution of Nonlinear matrix inequation and the solutions of linear matrix inequations is obtained. Then using the above Nonlinear matrix inequation, we can get the nonlinear state feedback solution such that the closed-loop Nonlinear System is asymptotically stable. Under the feedback control, the region of attraction can be estimated. Finally, the effectiveness and the correctness of this method is validated by a numerical simulation.
Starting Page	748
Ending Page	753
File Size	222799
Page Count	6
File Format	PDF
ISBN	9781457706776
ISSN	21612927
e-ISBN	9789881725592
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-22
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Chinese Assoc of Automati
Subject Keyword	Linear Matrix Inequation State feedback Neville'S Algorithm Lagrange Interpolation Polynomial Newton's Interpolation Formula Electronic mail Feedback control Interpolation Nonlinear Matrix Inequation Polynomials Nonlinear systems Nonlinear System Manganese
Content Type	Text
Resource Type	Article

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