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Internal model control based fractional order PID controller for knee joint motion

机译:基于内模控制的分数阶PID控制器进行膝关节运动

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摘要

Biomechanics is an area of research gaining lot of popularity in the recent times. In orthopedic industries, biomechanics are widely used to design orthopedic implants for various body joints, dental parts, external fixations, exo-skeletons and other medical purposes. Here, a technique for designing an internal model based fractional order PID controller for controlling the knee joint motion i.e. the movement of the shank around the knee joint, is suggested. Mathematical model is used for designing the controller and then simulation is done in simulink environment. In this technique, three out of five parameters i.e., kp, kiand kdare calculated using the conventional IMC based concept and the remaining two parameters i.e., λ and μ are obtained using trial and error method. The design technique proposed here is mathematically very simple. Moreover, better results were observed with the controller designed using the proposed designing technique as compared to the fractional controllers available in the literature so far. Using the integral error criterion robustness of the proposed controller with respect to system parameter variation is monitored and it is seen that it is better as compared to the existing fractional controllers.
机译:生物力学是近来越来越流行的研究领域。在骨科行业中,生物力学被广泛用于设计用于各种身体关节,牙齿部件,外固定架,外骨骼和其他医疗目的的骨科植入物。这里,提出了一种用于设计基于内部模型的分数阶PID控制器的技术,该分数阶PID控制器用于控制膝关节运动,即小腿绕膝关节的运动。使用数学模型设计控制器,然后在simulink环境中进行仿真。在此技术中,五个参数中的三个,即k \ n p \ n,k \ n i \ nand k \ n d \ nare使用传统的基于IMC的概念以及其余两个参数λ和μ计算得出使用反复试验法获得。这里提出的设计技术在数学上非常简单。此外,与迄今为止在文献中可获得的分数控制器相比,使用建议的设计技术设计的控制器观察到了更好的结果。使用积分误差准则,对所提出的控制器相对于系统参数变化的鲁棒性进行了监视,并且可以看出,与现有的分数控制器相比,该鲁棒性更好。

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