Combining passivity-based control and linear quadratic regulator to control a rotary inverted pendulum

MT Vo, HN Duong, VH Nguyen - Journal of Robotics and …, 2023 - journal.umy.ac.id
MT Vo, HN Duong, VH Nguyen
Journal of Robotics and Control (JRC), 2023journal.umy.ac.id
In this manuscript, new combination methodology is proposed, which named combining
Passivity-Based Control and Linear Quadratic Regulator (for short, CPBC-LQR), to support
the stabilization process as the system is far from equilibrium point. More precisely, Linear
Quadratic Regulator (for short, LQR) is used together with Passivity-Based Control (for short,
PBC) controller. Though passivity-based control and linear quadratic regulator are two
control methods, it is possible to integrate them together. The combination of passivity-based …
Abstract
In this manuscript, new combination methodology is proposed, which named combining Passivity-Based Control and Linear Quadratic Regulator (for short, CPBC-LQR), to support the stabilization process as the system is far from equilibrium point. More precisely, Linear Quadratic Regulator (for short, LQR) is used together with Passivity-Based Control (for short, PBC) controller. Though passivity-based control and linear quadratic regulator are two control methods, it is possible to integrate them together. The combination of passivity-based control and linear quadratic regulator is analyzed, designed and implemented on so-called rotary inverted pendulum system (for short, RIP). In this work, CPBC-LQR is validated and discussed on both MATLAB/Simulink environment and real-time experimental setup. The numerical simulation and experimental results reveal the ability of CPBC-LQR control scheme in stabilization problem and achieve a good and stable performance. Effectiveness and feasibility of proposed controller are confirmed via comparative simulation and experiments.
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