Preassigned-time control for state-constrained nonlinear systems subject to predefined performance indices

This paper addresses the preassigned-time control issue for state-constrained nonlinear systems subject to predefined performance indices (PPIs). In the recursive control design, a predefined performance barrier Lyapunov function is constructed to achieve the objectives, including the specified conv...

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Vydáno v:Nonlinear dynamics Ročník 112; číslo 21; s. 19111 - 19123
Hlavní autoři: Liu, Wei, Fei, Shiqi, Zhao, Huanyu, Xu, Shengyuan, Park, Ju H.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht Springer Netherlands 01.11.2024
Springer Nature B.V
Témata:
Automation
Automotive Engineering
Classical Mechanics
Closed loops
Constraints
Control
Control stability
Control systems
Design
Dynamical Systems
Engineering
Liapunov functions
Mechanical Engineering
Nonlinear control
Nonlinear systems
Original Paper
Performance indices
Recursive functions
Stability
Tracking control
Vibration
Predefined performance indices
Backstepping
State-constrained system
Preassigned-time control
ISSN:0924-090X, 1573-269X
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Shrnutí:This paper addresses the preassigned-time control issue for state-constrained nonlinear systems subject to predefined performance indices (PPIs). In the recursive control design, a predefined performance barrier Lyapunov function is constructed to achieve the objectives, including the specified convergence time, tracking control indices, and compliance with state constraints. To enhance the negative definiteness of the stability function, a time-varying gain term and an additional sign-indefinite term are introduced in the control design. Through detailed stability analyses, the proposed control approach guarantees the preassigned time stability of the closed-loop and satisfies state constraints and PPIs. Two simulation results support the effectiveness and applicability of the proposed approach.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-024-10015-0