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Nonlinear Polytopic Systems With Predefined Time Convergence
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DOI：10.1109/TCSII.2021.3125722.png)
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摘要
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This brief deals with predefined time control for nonlinear polytopic systems. With such a control, the settling time function is uniform with respect to initial conditions of the system and can be chosen by the designer. By using the control Lyapunov function, a sufficient condition is investigated for the existence of a continuous and predefined time stable state feedback controller. The obtained sufficient condition is also necessary, such that the closed-loop nonlinear polytopic system has a robust control Lyapunov function (RCLF) for all possible parametric uncertainties. Finally, a practical system shows the efficacy of the proposed approach.
Keyword:
Convergence
Lyapunov methods
Uncertainty
Sufficient conditions
State feedback
Indexes
Circuit stability
Polytopic systems
predefined time convergence
finite-time convergence
fixed-time convergence
control Lyapunov function
期刊
I
IF:
4.9
论文数:
8.8K
被引数:
2.5W
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