Abstract

Robot manipulators are nonlinear multi-link system, having higher disturbances and uncertainties. Thus, the controlling of robot manipulator is matter of concern. In this paper for deriving the dynamics of robot manipulator Euler Lagrange (EL) method is used. This paper proposes a nonlinear optimal control approach of 2-link robot manipulator. At first stage linearization of robot manipulator is performed at its operating point using Taylor series expansion. For optimal control, Linear Quadratic Regulator (LQR) is designed after linearization of nonlinear dynamics of 2-link robot. This uses the feed forward gain to control the robot manipulator and to achieve desired position and velocity. This proposed paper shows that Linear Quadratic Regulator (LQR) controlled robot manipulator is locally stable.

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