Application of LQR and MRAC for swing up control of inverted pendulum
Tamen Thapa Sarkar, Lillie Dewan
Abstract
Tamen Thapa Sarkar, Lillie Dewan
Abstract
Inverted pendulum is a highly nonlinear device and is a perfect experimenting bed for the design of classical and contemporary control techniques. In this paper Linear quadratic regulator(LQR) controllers and Model Reference adaptive controllers(MRAC) has been theoretically implemented on the inverted pendulum quanser kit. The objective here is to balance the inverted pendulum in an upright position using the optimal gain K in case of a linear quadratic regulator and following the reference model in model reference adaptive controller.
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Inverted pendulum is a highly nonlinear device and is a perfect experimenting bed for the design of classical and contemporary control techniques. In this paper Linear quadratic regulator(LQR) controllers and Model Reference adaptive controllers(MRAC) has been theoretically implemented on the inverted pendulum quanser kit. The objective here is to balance the inverted pendulum in an upright position using the optimal gain K in case of a linear quadratic regulator and following the reference model in model reference adaptive controller.
Key concepts: Inverted pendulum, Control theory (sociology), Linear-quadratic regulator, Swing, Controller (irrigation), Position (finance), Nonlinear system, Pendulum