# Simulation studies on the design of optimum PID controllers to suppress chaotic oscillations in a family of Lorenz-like multi-wing attractors

@article{Das2014SimulationSO, title={Simulation studies on the design of optimum PID controllers to suppress chaotic oscillations in a family of Lorenz-like multi-wing attractors}, author={Saptarshi Das and Anish Acharya and Indranil Pan}, journal={Math. Comput. Simul.}, year={2014}, volume={100}, pages={72-87} }

## 20 Citations

### Chaos control and chaos synchronization of a multi-wing chaotic system and its application in multi-frequency weak signal detection

- MathematicsAIP Advances
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A multi-frequency weak signal detection method that can detect the frequencies of the weak signal and does not need to determine the critical point and a linear state feedback controller that can asymptotically stabilize the chaos synchronization error system to the origin.

### Controlling of Chaos Synchronization

- Mathematics
- 2015

In the present paper, Linear Quadratic Regulator (LQR) and dual properties are employed to solve the observer-based synchronization problem. The synchronization is designed for nominal chaotic…

### Chaos in PID Controlled Nonlinear Systems

- Physics
- 2015

Controlling nonlinear systems with linear feedback control methods can lead to chaotic behaviors. Order increase in system dynamics due to integral control and control parameter variations in PID…

### Fractional High-Order Differential Estimator and Feedback Controller Design for a Single-Input–Single-Output Affine Chaotic System

- Mathematics
- 2019

A fractional high-order differential feedback controller (FHODFC) is designed to increase tracking performance of a nonlinear system output and its differentials for a desired trajectory signal to demonstrate superior dynamic behavior.

### Chaos in a System With Parabolic Equilibrium

- PhysicsRecent Advances in Chaotic Systems and Synchronization
- 2019

### An implementation of chaotic circuits with Multisim-LabVIEW

- Physics, Computer Science
- 2018

This model is being constructed for each chaotic system, so the results of mathematical simulations of these chaotic differential equations can be seen and convenient chaotic behavior is observed, circuit simulation is conducted via co-simulation between Multisim and LabVIEW.

### Towards a Global Controller Design for Guaranteed Synchronization of Switched Chaotic Systems

- MathematicsArXiv
- 2016

### Topological horseshoe analysis on a four-wing chaotic attractor and its FPGA implement

- Physics
- 2016

For a three-dimensional autonomous four-wing chaotic attractor, this paper rigorously verifies its chaotic properties by using topological horseshoe theory and numerical calculations. Firstly, an…

### Topological horseshoe analysis on a four-wing chaotic attractor and its FPGA implement

- PhysicsNonlinear Dynamics
- 2015

For a three-dimensional autonomous four-wing chaotic attractor, this paper rigorously verifies its chaotic properties by using topological horseshoe theory and numerical calculations. Firstly, an…

## References

SHOWING 1-10 OF 41 REFERENCES

### PID control design for chaotic synchronization using a tribes optimization approach

- Computer Science
- 2009

### Optimal PID control design for synchronization of delayed discrete chaotic systems

- Computer Science
- 2008

### Complexity analyses of multi-wing chaotic systems

- Computer Science
- 2013

The results show that the complexity of the multi-wing chaotic system does not increase as the number of wings increases, and it is consistent with the results of the Grassberger—Procaccia (GP) algorithm and the largest Lyapunov exponent (LLE) of the Multi-Wing chaotic system.

### Generating 2n-wing attractors from Lorenz-like systems

- Mathematics
- 2010

In this paper, the existence of 2n-wing chaotic attractors in a family of Lorenz-like systems is confirmed by both numerical simulation and circuit realization. By replacing a nonlinear cross-product…

### Chaos suppression in a fractional order financial system using intelligent regrouping PSO based fractional fuzzy control policy in the presence of fractional Gaussian noise

- Computer Science
- 2012

An intelligent Regrouping Particle Swarm Optimization is used to design the numeric weights of the control policy and the methodology is demonstrated by credible simulations.

### Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions

- Mathematics
- 2010

### A hyperchaotic system without equilibrium

- Physics
- 2012

This article introduces a new chaotic system of 4-D autonomous ordinary differential equations, which has no equilibrium. This system shows a hyper-chaotic attractor. There is no sink in this system…

### Hyperchaos, chaos, and horseshoe in a 4D nonlinear system with an infinite number of equilibrium points

- Physics
- 2014

Based on three-dimensional (3D) Lü chaotic system, we introduce a four-dimensional (4D) nonlinear system with infinitely many equilibrium points. The Lyapunov-exponent spectrum is obtained for the 4D…