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Comparison Between Some Nonlinear Controllers for the Position Control of Lagrangian-type Robotic Systems

Sahar Jenhani, Hassène Gritli, Giuseppe Carbone

2022Chaos Theory and Applications21 citationsDOIOpen Access PDF

Abstract

This work addresses the set-point control problem of the position of fully-actuated Lagrangian-type robotic systems by means of some nonlinear control laws. We adopt four different nonlinear control laws: the PD plus gravity compensation controller, the PD plus desired gravity compensation controller, the computed-torque controller and the augmented PD plus gravity compensation controller. An in-depth comparison between these control laws and their application is achieved. Indeed, using some properties, we design some conditions on the feedback gains of the nonlinear controllers ensuring the stability in the closed loop of the zero-equilibrium point and its uniqueness. At the end of this work, we adopt a planar two-degree-of-freedom manipulator robot to illustrate via simulation the difference between and the efficiency of the adopted nonlinear controllers.

Topics & Concepts

Control theory (sociology)Nonlinear systemController (irrigation)Compensation (psychology)Position (finance)Nonlinear controlUniquenessControl engineeringWork (physics)Equilibrium pointEngineeringComputer scienceMathematicsControl (management)PhysicsArtificial intelligenceEconomicsQuantum mechanicsPsychologyMechanical engineeringPsychoanalysisBiologyFinanceMathematical analysisAgronomyControl and Stability of Dynamical SystemsAdaptive Control of Nonlinear SystemsDynamics and Control of Mechanical Systems