The influences of load mass changing on inverted pendulum stability based on simulation study

Pangaribuan, Timbang; Mn, Nasruddin; Marlianto, Eddy; Sigiro, Mula

doi:10.1088/1757-899x/237/1/012005

Cited by 5 publications

(5 citation statements)

References 4 publications

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“…Where A and B are parameters of plant from Equation (6) or Equation ( 7), P is the definitive symmetry matrix, Q is the optimal weight and K is the optimal feedback. By using the MATLAB to solve the Equation ( 7), it was found that the optimal system give the Equation (10) below: (10) The response of optimal plant was found as shown in Figure 2.…”

Section: Methods Of Designmentioning

confidence: 99%

“…The response was good, but the amplitude of the response was too low. The second step to determine PID also in the optimal control [6,7] was defined in Equation (11) below:…”

Section: Methods Of Designmentioning

confidence: 99%

“…(4) By using Equation (3) and Equation ( 4), the linearized of Equation ( 1) can be solved as Equation (5) below: (5) It was found that the linearized system was found as Equation ( 6) below: (6) By using the plant's parameters above, with x1(0) = 0, the state Equation (4) can be found at Equation ( 7) below:…”

Section: Introductionmentioning

confidence: 99%

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How A PID Controlling A Nonlinear Plant

2020

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This paper investigates the weakness of feedback controller to find the best parameter of PID controller of a nonlinear inverted pendulum system (NL-IPS). Stability and performance analysis of a NL-IPS are carried out with combination of feedback and PID controllers. It is found that the NL-IPS which was stabilized by feedback controller provides some weakness. By addition of PID controller on closed loop NL-IPS will provide better tracking and response on zero steady state error.

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Section: Methods Of Designmentioning

confidence: 99%

“…The response was good, but the amplitude of the response was too low. The second step to determine PID also in the optimal control [6,7] was defined in Equation (11) below:…”

Section: Methods Of Designmentioning

confidence: 99%

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How A PID Controlling A Nonlinear Plant

2020

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“…Furthermore, it found the dynamics of nonlinear plant has changed into the linear equation, and the process of pole placement is explained with some steps in the following below. First, the four states have defined in equation (4), those are:…”

Section: The Special Pole Placementmentioning

confidence: 99%

“…1. These dynamics [1]- [4] can be elaborated by two nonlinear second order differential equations shown with its arrangement as can be seen in equations (1) and (2).…”

Section: Introductionmentioning

confidence: 99%

The Controller Design Using Local Stability Analysis on a Nonlinear Inverted Pendulum

Pangaribuan¹,

Mn²,

Marlianto³

et al. 2018

IJET

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This paper is designed for the purpose of analytic design and numerical simulation of a controller for nonlinear mobile inverted pendulum. It needs to obtain a method to overcome the difficulties in the design problem of controller for nonlinear plant. The method was using local stability analysis of two fixed points in two-dimensional ordinary nonlinear differential equation. The result provides a stable response solution using a special pole placement design, and transient stability is simulated using simulink. The response behavior can be selected according to the desired poles. The results obtained at this work are different from the optimal control problem. Indeed, our results have been summarized in the design method, target response and simulation process.

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Comparative Study of Parametric Disturbances Effect on Cart-Inverted Pendulum System Stabilization

Verma¹,

Valluru²

2023

Lecture Notes in Electrical Engineering

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The influences of load mass changing on inverted pendulum stability based on simulation study

Cited by 5 publications

References 4 publications

How A PID Controlling A Nonlinear Plant

How A PID Controlling A Nonlinear Plant

The Controller Design Using Local Stability Analysis on a Nonlinear Inverted Pendulum

Comparative Study of Parametric Disturbances Effect on Cart-Inverted Pendulum System Stabilization

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