Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances

Zhang, Jianbao; Zhang, Wenyin; Yang, Chengdong; Wang, Haifeng; Qiu, Jianlong; Alsaadi, Fawaz E.

doi:10.1155/2018/6483078

Cited by 3 publications

(1 citation statement)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The most prominent example is parameter identification, because adjusted parameters of the slave system can then often be directly measured and related to uncertain parameters of the master system [10,[13][14][15]. Particular examples in which this approach has been used are the design of a secure communication system [9], parameter identification of a gene regulatory network [16] and investigation of circadian rhythms in mammals [17]. It also may be used in chaotic sensors, typically consisting of a master system which serves as a measurement unit and a slave system which serves as a reference [18,19].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Generalized Synchronization between Circuit and Computer Implementations of the Rössler System

et al. 2020

View full text Add to dashboard Cite

The synchronization between chaotic systems implemented in similar ways—e.g., computer models or circuits—is a well-investigated topic. Nevertheless, in many practical applications, such as communication, identification, machine sensing, etc., synchronization between chaotic systems of different implementation types—e.g., between an analog circuit and computer model—might produce fruitful results. In this research, we study the synchronization between a circuit modeling the Rössler chaotic system and a computer model using the same system. The theoretical possibility of this kind of synchronization is proved, and experimental evidence of this phenomenon is given with special attention paid to the numerical methods for computer model simulation. We show that synchronization between a circuit with uncertain parameters and a computer model is possible, and the parameters obtained from the synchronized computer model are in high correspondence with the circuit element specification. The obtained results establish the possibility of using adaptive generalized synchronization for the parameter identification of real systems. It was also found that Heun’s method yielded the most accurate results in synchronization among second-order numerical integration methods. The best among the first-order methods appears to be the Euler–Cromer method, which can be of interest in embedded applications.

show abstract

Section: Introductionmentioning

confidence: 99%

Adaptive Generalized Synchronization between Circuit and Computer Implementations of the Rössler System

et al. 2020

View full text Add to dashboard Cite

show abstract

Delay-dependent stability criteria for LFC systems with electric vehicles: A delay-interval-based piecewise Lyapunov functional approach

Chen,

Li,

Chen

2024

Journal of the Franklin Institute

View full text Add to dashboard Cite

Identification of van der Pol oscillator network parameters

Baraniukova

Shcherbak

2021

Proc. IAMM NASU

View full text Add to dashboard Cite

The problem of state observation and parameters identification of an oscillatory system consisting of coupled van der Pol oscillators is considered. The unknowns are: velocity of oscillations and parameters that characterize the threshold values for displacements of network's oscillators at which the damping forces change sign. An invariant relations method for simultaneous of the state and parameters estimation is used. Such approach is based on dynamical extension of original system and synthesis of appropriate invariant relations, from which the unknowns can be expressed as a function of the known quantities on the trajectories of extended system during the observed motion. The stability property is formally checked considering the oscillatory behavior of the system. On the first step the corresponding observation and identification problems are solved for one of autonomous van der Pol oscillator, further, the results obtained are extended to a system of interconnected oscillators. The simulation results confirm efficiency of the proposed scheme of nonlinear observer and identifier design for network of oscillators.

show abstract

Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances

Cited by 3 publications

References 35 publications

Adaptive Generalized Synchronization between Circuit and Computer Implementations of the Rössler System

Adaptive Generalized Synchronization between Circuit and Computer Implementations of the Rössler System

Delay-dependent stability criteria for LFC systems with electric vehicles: A delay-interval-based piecewise Lyapunov functional approach

Identification of van der Pol oscillator network parameters

Contact Info

Product

Resources

About