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Estimation for Networked Control Systems with Packet Losses
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HAN Xiao, QI Qingyuan, JI Zhijian
Complex Systems and Complexity Science. 2021, 18 (1): 15-22.
DOI: 10.13306/j.1672-3813.2021.01.003
In this paper, we mainly investigated the estimation of networked control systems (NCSs) with packet losses. Firstly, we introduced the classical Kalman filter estimator and the covariance matrix. When the measurement equation is with noise, we give the optimal estimator. The optimal estimator is strictly calculated by the recursive method. Moreover, according to whether the packet loss process can be observed, we discussed the estimation problem. Finally, for the application, a simple sub-optimal approximation estimator was developed. It will be helpful to study the NCSs with packet losses in large finite horizon, and provides the research direction for further analyzing the problem of NCSs.
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A Novel Laser Complex Chaotic System and Its Point Multiplication Function Projection Synchronization
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FANG Jie, JIANG Minghao, AN Xiaoyu, DENG Wei
Complex Systems and Complexity Science. 2021, 18 (1): 30-37.
DOI: 10.13306/j.1672-3813.2021.01.005
This paper proposes a new laser complex chaotic system and a new point multiplication function projection synchronization method. Firstly, a new laser complex chaotic system is constructed on the basis of the 4D laser real chaotic system. Based on the conventional dynamic analysis method and MATLAB simulation software, the basic dynamic characteristics of the system such as dissipation, equilibrium point, Lyapunov exponent spectrum, phase diagram and bifurcation diagram are studied. The results show that the new chaotic system is rich in dynamics and has bow-tie chaotic and hyperchaotic attractors under certain parameters. Secondly, according to the vector dot product operation, a new point multiplication function projection synchronization method is defined. Based on the sliding mode control method, the bow-tie laser complex chaotic system can realize point multiplication function projection synchronization according to the function scaling factor. Numerical simulations verify the correctness and validity of the theoretical analysis.
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Network Modeling and Central Node Analysis of Enterprise Correlations in Terms of Electricity Consumption Based on Power-Law Distribution
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XU Ronghua, HU Renjie, QI Fangzhong, MA Qingguo
Complex Systems and Complexity Science. 2021, 18 (1): 38-47.
DOI: 10.13306/j.1672-3813.2021.01.006
Based on the 2017 Hangzhou electricity consumption data of industrial enterprises, this paper aims to establish correlation networks to filter out the central enterprises and their connections in the city. First, we exclude the seasonal effect on electricity consumption and calculate the pure correlation of these enterprises by using the conditional Pearson correlation model. Next, we adjust the correlation coefficient thresholds by making the node degree distribution approximately satisfy the power-law distributions. Then, the empirical analysis on network properties is carried out, including the heavy-head distribution, the assortative mixing, and the small-world property. Based on these properties, we propose an approach for identifying central enterprises in the electricity consumption correlation network. The study shows that the central enterprises are closely related and can promote the connection between other non-central enterprises. Decision-makers can regulate the central enterprises detected by our approach in order to affect the overall development of the city.
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Study on Optimal Allocation of Emergency Resources in Multiple Disaster Sites Under Epidemic Events
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WANG Fuyu, TANG Tao, LI Yan, WANG Xiaoniu
Complex Systems and Complexity Science. 2021, 18 (1): 53-62.
DOI: 10.13306/j.1672-3813.2021.01.008
The outbreak of COVID19 has turned many areas into disaster areas. In order to provide timely relief to the disaster areas, accurate supply of post-disaster emergency resources has become the primary factor to ensure the safety of the people in the disaster areas. In this paper, SEIR was used to predict the number of infected people in each disaster area at the decision-making moment, and then the weight of urgency degree and material demand in the disaster area were calculated. Based on the degree of urgency, a multi-objective optimization model of emergency resource scheduling was constructed to maximize the satisfaction of the victims, minimize the total cost and consider the fairness of distribution. A multi-objective artificial bee colony algorithm is proposed. Aiming at the disadvantages of artificial bee colony algorithm such as precocity, the dynamic parameter and Pareto solution set are used to define the new bee colony location updating formula, and the teaching optimization is used to disturb the bee colony location, so as to avoid the algorithm falling into local extremum. The simulation results show that the proposed model and algorithm can effectively solve the problem of optimal allocation of emergency resources at multiple disaster points under epidemic events, and the improved algorithm has better performance.
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Optimal Control of Intersection Timing in Left Turn Waiting Area Based on Improved NSGAⅡ
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LI Yan, ZHAO Hong, MU Liang, QIU Junzheng, SUN Chuanlong, LIU Xiaotong
Complex Systems and Complexity Science. 2021, 18 (1): 88-94.
DOI: 10.13306/j.1672-3813.2021.01.012
In order to further improve the comprehensive performance of road intersections, a typical intersection of Nanjing Road and Jiangxi Road in Qingdao is selected, an optimization model with a left-turn waiting area is established. The improved fast non-dominant genetic algorithm is used to optimize both vehicle delays and motor vehicle CO emissions at intersections. A model with VISSIM software is built to verify the effectiveness of the algorithm. The results show that the improved algorithm search efficiency increased by 57.4%, after multi-objective optimization of timing, the average delay of vehicles dropped by 11.7%, CO emissions decreased by 13.5%, average queue length decreased by 11.3%, and HC and NOx emissions both decreased by 2.7 %. The algorithm effectively improves the traffic capacity and environmental benefits of the intersection.
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