A novel technique for studying chaos using an electronic circuit based on op-amps

Shahid, Umer; Shafique, Muhammad Ali; Iqbal, Sajid

doi:10.1109/ecctd.2017.8093291

Cited by 6 publications

(1 citation statement)

References 25 publications

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“…The design of a stable and reliable control system for such a complex system is a challenging problem and is used as a test-bed for the development of new control algorithms for many other complex nonlinear engineering applications. [1][2][3] It is an important control problem in modern control theory since it imitates the behavior of many practical control systems like crane mechanisms, segway systems, unicycle robots, traction control in vehicles and rocket stabilization, and launching. 4,5 Till now many algorithms have been suggested in the literature to control the dynamics of RIP but still, it is being extensively investigated and new control algorithms are being developed.…”

Section: Introductionmentioning

confidence: 99%

Swing up and stabilization control of rotary inverted pendulum based on energy balance, fuzzy logic, and LQR controllers

Abdullah

Amin

Iqbal

et al. 2021

Measurement and Control

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Rotary Inverted Pendulum (RIP) mimics the behavior of many practical control systems like crane mechanism, segway, unicycle robot, traction control in vehicles, rocket stabilization, and launching. RIP is a fourth-order nonlinear open-loop unstable dynamical system and is widely used for testing the effectiveness of the newly developed control algorithms. In this paper, a Hybrid Control Scheme (HCS) based on energy balance and fuzzy logic controllers is proposed to implement the swing up and stabilization control of RIP. In the proposed control scheme, the fuzzy logic-based state feedback gains are dynamically tuned in real-time by minimizing the absolute error between the desired and actual states to get robust control performance. The proposed HCS is also compared with the conventional Linear Quadratic Controller (LQR) for this application. The comparative results show that the proposed fuzzy logic-based hybrid control scheme gives the optimal control performance in terms of achieving satisfactory transient, steady-state, and robust responses from a given RIP system, as compared to the conventional LQR based control scheme. The proposed control scheme is also relatively less complex with a low computational cost and provides desired response characteristics as compared to the existing ones in the literature.

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Section: Introductionmentioning

confidence: 99%

Swing up and stabilization control of rotary inverted pendulum based on energy balance, fuzzy logic, and LQR controllers

Abdullah

Amin

Iqbal

et al. 2021

Measurement and Control

Self Cite

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Assessing the chaos strength of Taylor approximations of the sine chaotic map

2022

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A modified Astable multi-vibrator-driven 3D chaotic circuit with Dual LC band stop filters

Ponnambalam,

Ponnambalam

2024

Phys. Scr.

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This work describes a proposed circuit design with three essential parts: an Astable Multi-vibrator (ASMV) source producing a square wave as the driving signal, a two-stage LC band stop filter selectively attenuating frequencies with a focus on suppressing high-frequency components, and an integrator combining outputs from the second and third stages. Using two extra feedback channels, a standard ASMV gains the ability to change the duty cycle of the square wave, effectively altering the amplitude and duty cycle of the ASMV output signal. The LC band stop filter is vital for reducing or blocking frequencies close to 650 Hz and allowing other frequencies to predominate in the signal. The output frequency of the proposed circuit is governed by its specific parameters and frequency response characteristics. The suggested three-dimensional chaotic circuit produces dynamic, complex chaotic attractors with a simple circuit complexity. The differential equations describing the circuit’s functioning were checked using MATLAB. Circuit working was verified using Keysight ADS simulation and validated by experimental measurement. The randomness of the state variables are verified using the NIST test.

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A novel technique for studying chaos using an electronic circuit based on op-amps

Cited by 6 publications

References 25 publications

Swing up and stabilization control of rotary inverted pendulum based on energy balance, fuzzy logic, and LQR controllers

Swing up and stabilization control of rotary inverted pendulum based on energy balance, fuzzy logic, and LQR controllers

Assessing the chaos strength of Taylor approximations of the sine chaotic map

A modified Astable multi-vibrator-driven 3D chaotic circuit with Dual LC band stop filters

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