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Journal of the Korea Institute of Military Science and Technology 2007;10(3):161-172.
Kinematics and Robust PID Trajectory Tracking Control of Parallel Motion Simulator
Seong-Il Hong
병렬형 모션 시뮬레이터의 기구학적 해석과 강인 궤적추종 PID 제어기의 설계
홍성일
국방과학연구소
Abstract
This article suggests an inverse kinematics analysis of a two degree of freedom spatial parallel motion simulator and design methodology of the robust PID controller. The parallel motion simulator consists of a fixed base and a moving frame connected by two serial chains, with each serial chain containing one revolute joint and two passive spherical joint. First, an inverse kinematics problems are solved in order to find the joint variable necessary to bring the end effector to track the desired trajectory. Second, an inverse optimal PID controller is proposed to track trajectories in the face of uncertainty. And the $H_{infty}$ optimality and robust stability of the closed-loop system is acquired through the PID controller. Finally numerical results show the effectiveness of the PID controller that is designed by square/linear tuning laws.
Key Words: Inverse Kinematics, Parallel Manipulator$H_{infty}$ Performance, Robust PID Control
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