A Robust Fuzzy Tracking Control Scheme for Robotic Manipulators with Experimental Verification

Abdel Badie Sharkawy, Mahmoud M. Othman, Abouel Makarem A. Khalil

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DOI: 10.4236/ica.2011.22012                

Abstract

The performance of any fuzzy logic controller (FLC) is greatly dependent on its inference rules. In most cases, the closed-loop control performance and stability are enhanced if more rules are added to the rule base of the FLC. However, a large set of rules requires more on-line computational time and more parameters need to be adjusted. In this paper, a robust PD-type FLC is driven for a class of MIMO second order nonlin- ear systems with application to robotic manipulators. The rule base consists of only four rules per each de- gree of freedom (DOF). The approach implements fuzzy partition to the state variables based on Lyapunov synthesis. The resulting control law is stable and able to exploit the dynamic variables of the system in a lin- guistic manner. The presented methodology enables the designer to systematically derive the rule base of the control. Furthermore, the controller is decoupled and the procedure is simplified leading to a computationally efficient FLC. The methodology is model free approach and does not require any information about the sys- tem nonlinearities, uncertainties, time varying parameters, etc. Here, we present experimental results for the following controllers: the conventional PD controller, computed torque controller (CTC), sliding mode con- troller (SMC) and the proposed FLC. The four controllers are tested and compared with respect to ease of design, implementation, and performance of the closed-loop system. Results show that the proposed FLC has outperformed the other controllers.

Keywords

Fuzzy Logic Control (FLC), PD Control, Computed-Torque Control (CTC), Sliding Mode Control (SMC), Lyapunov Synthesis, Test Rig

Conflicts of Interest

The authors declare no conflicts of interest.

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