Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 18, Issue 10, Pages 2790-2800Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2013.03.015
Keywords
Differential inclusions; Control Lyapunov functions; Stabilization; Homogeneous domination theory
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Funding
- National Natural Science Foundation of China [61074003, 11202121]
- Nature Science Foundation of Shanghai [11ZR1412400]
- Jiangsu Planned Projects for Postdoctoral Research Funds [1202043C]
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This paper is concerned with the stabilization of differential inclusions. By using control Lyapunov functions, a design method of homogeneous controllers for differential equation systems is first addressed. Then, the design method is developed to two classes of differential inclusions without uncertainties: homogeneous differential inclusions and nonhomogeneous ones. By means of homogeneous domination theory, a homogeneous controller for differential inclusions with uncertainties is constructed. Comparing to the existing results in the literature, an improved formula of homogeneous controllers is proposed, and the difficulty of the controller design for uncertain differential inclusions is reduced. Finally, two simulation examples are given to verify the preset design. (c) 2013 Elsevier B.V. All rights reserved.
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