Abstract
Lagrangian–Taylor differential transformation dynamics analysis of self– balancing inverted pendulum robot
Highlights
Robots are fast becoming a fixture in our lives
The dynamical system is modelled as Lagrange's equation
It is a linear second-order non- homogenous partial differential equation. This equation was transformed to series using Taylor Differential Transformation method (TDTM)
Summary
Strength, and can learn on the job. And there’s an entirely new breed of robots—some in humanoid form, and others that take highly practical forms all their own—that can walk, talk, save lives, and perform critical jobs in extreme environments, or take care of mundane tasks at home while we’re out enjoying our lives (Yazdani et al, 2016; Chen and Wu, 1996). The inverted pendulum is a classic automation problem that has numerous theoretical approaches as well as a multitude of practical applications (Hassan, 2008; Matesica et al, 2016). It is a classic automation problem that has numerous theoretical approaches as well as a multitude of practical applications. The dynamical system is modelled as Lagrange's equation It is a linear second-order non- homogenous partial differential equation. Agarana et al/International Journal of Advanced and Applied Sciences, 6(9) 2019, Pages: 54-57 and related methods has proved over the years to be very efficient in solving differential equations. They are often referred to as semi – analytical methods
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