Time-domain simulation of MIMO fractional systems

Иванова, Елена; Malti, Rachid; Moreau, Xavier

doi:10.1007/s11071-016-2628-1

Cited by 3 publications

(2 citation statements)

References 28 publications

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“…Step 3. The → , → , and a are calculated according to (9), (10), and (15); then the lead wolves are selected.…”

Section: Smogwo Algorithmmentioning

confidence: 99%

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Multiobjective Optimal Control for Hydraulic Turbine Governing System Based on an Improved MOGWO Algorithm

Xia

et al. 2019

Complexity

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Hydraulic turbine governing system (HTGS) is essential equipment which regulates frequency and power of the power grids. In previous studies, optimal control of HTGS is always aiming at one single operation condition. The variation of operation conditions of HTGS is seldom considered. In this paper, multiobjective optimal function is proposed for HTGS under multiple operation conditions. In order to optimize the solution to the multiobjective problems, a novel multiobjective grey wolf optimizer algorithm with searching factor (sMOGWO) is also proposed with two improvements: adding searching step to search more no-domain solutions nearby the wolves and adjusting control parameters to keep exploration ability in later period. At first, the searching ability of the sMOGWO has been verified on several UF test problems by statistical analysis. And then, the sMOGWO is applied to optimize the solutions of the multiobjective problems of HTGS, while different algorithms are employed for comparison. The experimental results indicate that the sMOGWO is more effective algorithm and improves the control quality of the HTGS under multiple operation conditions.

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“…Step 3. The → , → , and a are calculated according to (9), (10), and (15); then the lead wolves are selected.…”

Section: Smogwo Algorithmmentioning

confidence: 99%

“…Hydraulic turbine governing system (HTGS) which mostly contains PID controller is important automatic control equipment of hydroelectric unit [9]. The HTGS can adjust the output power of hydroelectric unit by changing the opening of guide.…”

Section: Introductionmentioning

confidence: 99%

Multiobjective Optimal Control for Hydraulic Turbine Governing System Based on an Improved MOGWO Algorithm

Xia

et al. 2019

Complexity

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Dynamic characteristics for a hydro-turbine governing system with viscoelastic materials described by fractional calculus

Long

Chen

et al. 2018

Applied Mathematical Modelling

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Research on realization and optimization of communication equipment security engineering circuit for nonlinear system based on fractional differential operator

Chen

2019

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Compared with integral calculus, the fractional differential operator can objectively reveal and describe the physical characteristics of the actual system. For fractional differential operator functions, sufficient conditions for stability of fractional nonlinear systems are given. By accurately adjusting the frequency of the analog input signal and observing and verifying the nonlinear dynamic characteristics of the new system, the simulation experiment of the fractional circuit with different fractional values is carried out, and the circuit simulation can visually observe the evolution of system variables. The research shows that the predictive correction method numerically simulates the fractional-order system, and the phase diagram of the chaotic attractor of the system is obtained. The simulation results show that the minimum order of chaos in the fractional hyperchaotic system is 2.8. The research shows that the simulation of the nonlinear system and its circuit implementation show the effectiveness of the circuit simulation method of the fractional-order chaotic system and the feasibility of circuit implementation.

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Time-domain simulation of MIMO fractional systems

Cited by 3 publications

References 28 publications

Multiobjective Optimal Control for Hydraulic Turbine Governing System Based on an Improved MOGWO Algorithm

Multiobjective Optimal Control for Hydraulic Turbine Governing System Based on an Improved MOGWO Algorithm

Dynamic characteristics for a hydro-turbine governing system with viscoelastic materials described by fractional calculus

Research on realization and optimization of communication equipment security engineering circuit for nonlinear system based on fractional differential operator

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