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Homogeneous Feedback Control of Nonlinear Systems Based on Control L yapunov Functions
Author(s) -
Zhang Junfeng,
Han Zhengzhi,
Huang Jun
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.770
Subject(s) - control theory (sociology) , lyapunov function , homogeneous , correctness , nonlinear system , lyapunov redesign , control (management) , control lyapunov function , mathematics , computer science , control engineering , engineering , algorithm , artificial intelligence , physics , quantum mechanics , combinatorics
This paper is concerned with homogeneous feedback control for a class of nonlinear systems. By using control Lyapunov functions, homogeneous controllers of homogeneous and nonhomogeneous systems are respectively constructed, under which the stabilization of the systems under considerations are guaranteed. Then, the design method is extended for uncertain systems by means of homogeneous domination theory. Compared with the traditional design method based on robust control Lyapunov functions, the present design reduces the difficulty of constructing controllers. Finally, several simulation examples are given to illustrate the correctness of the design.