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Adaptive practical preassigned finite‐time stability for a class of pure‐feedback systems with full state constraints
Authors:Yang Liu  Xiaoping Liu  Yuanwei Jing
Abstract:This paper focuses on an adaptive practical preassigned finite‐time control problem for a class of unknown pure‐feedback nonlinear systems with full state constraints. Two new concepts, called preassigned finite‐time function and practical preassigned finite‐time stability, are defined. In order to achieve the main result, the pure‐feedback system is first transformed into an affine strict‐feedback nonlinear system based on the mean value theorem. Then, an adaptive preassigned finite‐time controller is obtained based on a modified barrier Lyapunov function and backstepping technique. Finally, simulation examples are exhibited to demonstrate the effectiveness of the proposed scheme.
Keywords:adaptive backstepping control  barrier Lyapunov functions  full state constraints  practical preassigned finite‐time stability  pure‐feedback systems
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