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Lyapunov‐based finite‐time control of robot manipulators

Emmanuel Cruz‐Zavala, Tonámetl Sánchez, Emmanuel Nuño, Jaime A. Moreno

2021International Journal of Robust and Nonlinear Control22 citationsDOI

Abstract

Abstract The objective of this work is to propose new families of finite‐time controllers providing bounded and unbounded control signals. We show that this new family of controllers can be applied to solve the regulation problem for robot manipulators in finite‐time with unbounded and bounded torques. The key idea to accomplish this objective is to propose a novel family of Lyapunov functions, which is more suitable for designing finite‐time regulators for robot manipulators. The efficacy of these controllers, compared with other schemes, is illustrated by a simulation example, which shows that the proposed controllers are a good alternative to solve the finite‐time regulation problem for robot manipulators.

Topics & Concepts

Bounded functionControl theory (sociology)Robot manipulatorRobotLyapunov functionComputer scienceKey (lock)Control (management)Control engineeringMathematicsEngineeringArtificial intelligenceNonlinear systemQuantum mechanicsPhysicsMathematical analysisComputer securityAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsControl and Stability of Dynamical Systems
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