Journal
NONLINEAR DYNAMICS
Volume 69, Issue 4, Pages 1941-1947Publisher
SPRINGER
DOI: 10.1007/s11071-012-0398-y
Keywords
Semifinite time chaos synchronization; Unmatched uncertainties; Input nonlinearities; Terminal sliding mode
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Funding
- National Natural Science Foundation of China [61104006]
- Natural Science Foundation of Shanghai [11ZR1412400]
- Innovation Fund of Shanghai University
- Scientific Special Research Fund for Training Excellent Young Teachers in Higher Education Institutions of Shanghai [shu10044]
- 211 Construction Project of Shanghai University
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This paper investigates nonsingular terminal sliding mode control for a class of uncertain systems with nonlinear inputs and its application in chaos control. When some of the system states are finite-time stable, the nonlinear items that coupled with these states may come into zeros in other subsystems. This will simplify the stability analysis of the whole system greatly. Compared with the traditional finite-time stabilization design method, the introduction of the terminal sliding mode can reduce the input dimensions. Only one control input is requested to realize chaos control of the Liu system when unmatched uncertainties and input nonlinearity coexist. The parameter matrices in the TSM can be determined through the solution of LMIS. Simulation results are given to demonstrate the effectiveness of the proposed method.
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