Chaos detection and neuro-control in vector-control system

Asakura, Toshiyuki; Saitō, Yoshio; Shioya, Makoto

doi:10.1109/tencon.2002.1182576

Cited by 4 publications

(3 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If all multipliers of the linear system in (12) are inside the unit circle, the fixed point of Poincare's map is stable and therefore the corresponding limit cycle related to the flow is stable.…”

Section: Modified Poincare's Map In Non-linear Perodical Systemsmentioning

confidence: 99%

See 1 more Smart Citation

Bifurcation and Lyapunov's exponents characteristics of electrical scalar drive systems

Sangrody

Nazarzadeh

Nikravesh

2012

IET Power Electronics

View full text Add to dashboard Cite

In this study, bifurcation and chaos phenomena in scalar drives of induction machines are investigated. Modified Poincare's map, Lyapunov exponents and bifurcation diagram are utilised for this purpose. The boundary related to bifurcated response and conditions of chaotic response is also acquired for this purpose using Poincare's map. In addition, root -locus curve of the system for stability and chaos analysis is derived by changing the controller parameters in constant speed control. In order to prove the chaotic response of the system, the largest Lyapunov's exponent is determined numerically. In addition, an experimental prototype is prepared to show these phenomena. It is shown that chaotic response of the system can be controlled by adjusting the critical values of the speed controller's gain value.

show abstract

Section: Modified Poincare's Map In Non-linear Perodical Systemsmentioning

confidence: 99%

“…Similar to (12), by repeating (25) for N steps, we can obtain a mapping model of the scalar drive system.…”

Section: Poincare's Map Of Scalar Drivementioning

confidence: 99%

Bifurcation and Lyapunov's exponents characteristics of electrical scalar drive systems

Sangrody

Nazarzadeh

Nikravesh

2012

IET Power Electronics

View full text Add to dashboard Cite

show abstract

“…As mentioned, these drives may represent stable, unstable and chaotic responses. There are some researches that show the bifurcated and chaotic response of these drives caused by different reasons like inverter malfunction [8,9], error in parameters' values like rotor and stator resistances [10][11][12][13] or even because of an inherent nonlinearity of the system [14]. Some researchers used Poincare map to study these behaviors.…”

Section: Introductionmentioning

confidence: 99%

A Lyapunov Function for Vector Control Drives in Induction Machines

Sangrody¹,

Shariatmadar²

2016

Eng. Technol. Appl. Sci. Res.

View full text Add to dashboard Cite

In this paper a useful Lyapunov function for vector control of induction machines is introduced. To do this, some beneficial theorems are reviewed and by applying these theorems and state equations to a vector control drive, its candidate Lyapunov function is achieved. Range of set points such as reference speed, reference flux linkage values and speed controller gain is obtained for such a drive and therefore these values can be set offline to avoid unstable behavior. The simulated and experimental results are given in the last section of the paper to show the efficacy of the given Lyapunov function.

show abstract