Invariant Ellipsoids Method for Chaos Synchronization in a Class of Chaotic Systems

Fedele, Giuseppe

doi:10.31763/ijrcs.v2i1.533

Cited by 2 publications

(2 citation statements)

References 33 publications

(39 reference statements)

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“…Integral State Feedback (ISF) control belongs to modern control techniques with a matrix approach [37]. It consists of an integral and state feedback control [38]. The integral control eliminates the steady state error, while the state feedback control corresponds with system response [39].…”

Section: Pid Control and Integral State Feedbackmentioning

confidence: 99%

Altitude Control of UAV Quadrotor Using PID and Integral State Feedback

Ma’arif,

Suwarno,

Nur’aini

et al. 2023

BIO Web Conf.

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Applications of control techniques for stabilizing altitude in a UAV Quadrotor, along with a comprehensive performance comparison, are presented in this paper. The two compared control techniques are: a Proportional Integral Derivative (PID) and Integral State Feedback (ISF) controller. While PID control consists of a Proportional, an Integral and a Derivative Controller, the Integral State Feedback consists of an Integral and a State Feedback Controller. Each part of the control technique provides advantages and drawbacks in the controlled system performance. Numerical simulations in the research were performed on Simulink MATLAB to provide quantitative results in control performance comparison; thus, a quadrotor model was designed prior to the application of control techniques. Based on the numerical results, ISF control resulted in a better settling time with zero overshoot than PID. Meanwhile, the PID control had a better rise time with a big overshoot than ISF in its system response. Therefore, it can be concluded that the ISF Controller was better than PID regarding the settling time and the overshoot response.

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Section: Pid Control and Integral State Feedbackmentioning

confidence: 99%

Altitude Control of UAV Quadrotor Using PID and Integral State Feedback

Ma’arif,

Suwarno,

Nur’aini

et al. 2023

BIO Web Conf.

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show abstract

“…Among the intriguing phenomena associated with chaotic systems is synchronization, where the dynamics of two chaotic systems, whether identical or non-identical, are coupled through appropriate control laws within finite time. Numerous synchronization schemes have been developed to facilitate this coupling, including adaptive control-based synchronization [18], adaptive hybrid synchronization [19], functional projective synchronization [20], and sliding mode control-based synchronization [21], [22], fuzzy synchronization [23], invariant ellipsoids method [24]. Each scheme serves specific purposes in different contexts and applications.…”

mentioning

confidence: 99%

Finite-Time Synchronization of the Rabinovich and Rabinovich-Fabrikant Chaotic Systems for Different Evolvable Parameters

Umoh,

Ma'arif,

Tola

et al. 2023

IJRCS

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This paper addresses the challenge of synchronizing the dynamics of two distinct 3D chaotic systems, specifically the Rabinovich and Rabinovich-Fabrikant systems, employing a finite-time synchronization approach. These chaotic systems exhibit diverse characteristics and evolving chaotic attractors, influenced by specific parameters and initial conditions. Our proposed low-cost finite-time synchronization method leverages the signum function's tracking properties to facilitate controlled coupling within a finite time frame. The design of finite-time control laws is rooted in Lyapunov stability criteria and lemmas. Numerical experiments conducted within the MATLAB simulation environment demonstrate the successful asymptotic synchronization of the master and slave systems within finite time. To assess the global robustness of our control scheme, we applied it across various system parameters and initial conditions. Remarkably, our results reveal consistent synchronization times and dynamics across these different scenarios. In summary, this study presents a finite-time synchronization solution for non-identical 3D chaotic systems, showcasing the potential for robust and reliable synchronization under varying conditions.

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Invariant Ellipsoids Method for Chaos Synchronization in a Class of Chaotic Systems

Cited by 2 publications

References 33 publications

Altitude Control of UAV Quadrotor Using PID and Integral State Feedback

Altitude Control of UAV Quadrotor Using PID and Integral State Feedback

Finite-Time Synchronization of the Rabinovich and Rabinovich-Fabrikant Chaotic Systems for Different Evolvable Parameters

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