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Koopman interpretation and analysis of a public-key cryptosystem: Diffie-Hellman key exchange

IFAC-PapersOnLine 2023年第2期56卷 984-990页

作者： Sebastian Schlor Robin Strässer Frank Allgöwer University of Stuttgart Institute for Systems Theory and Automatic Control Germany

The security of public-key cryptosystems relies on computationally hard problems, that are classically analyzed by number theoretic methods. In this paper, we introduce a new perspective on cryptosystems by interpreting the Diffie-Hellman key exchange as a nonlinear dynamical system. Employing Koopman theory, we transfer this dynamical system into a higher-dimensional space to analytically derive a purely linear system that equivalently describes the underlying cryptosystem. In this form, analytic tools for linear systems allow us to reconstruct the secret integers of the key exchange by simple manipulations. Moreover, we provide an upper bound on the minimal required lifting dimension to obtain perfect accuracy. To demonstrate the potential of our method, we relate our findings to existing results on algorithmic complexity. Finally, we transfer this approach to a data-driven setting where the Koopman representation is learned from data samples of the cryptosystem.

关键词： Cryptography Koopman operator discrete nonlinear systems number theory

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Adaptive FRIT-Based Recursive Robust controller Design Using Forgetting Factors 32

Adaptive FRIT-Based Recursive Robust Controller Design Using...

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32nd Mediterranean Conference on control and Automation, MED 2024

作者： Tsuruhara, Satoshi Ito, Kazuhisa Graduate School of Engineering and Science Functional Control Systems Shibaura Institute of Technology Minuma Saitama3378570 Japan Japan Society for the Promotion of Science Tokyo1020083 Japan Shibaura Institute of Technology Department of Machinery and Control Systems Minuma Saitama3378570 Japan

ISBN: (纸本)9798350395440

Adaptive FRIT (A-FRIT) with exponential for-getting (EF) has been proposed for time-varying systems to improve the data dependence of FRIT, which is a direct data-driven tuning method. However, the EF -based method is not a reliable controller because it can cause significant degradation of the control performance and instability unless the persistent excitation (PE) condition is satisfied. To solve this problem, we propose a new A-FRIT method based on directional forgetting (DF) and exponential resetting that can forget old data without instability regardless of the PE condition. To confirm the effectiveness of the proposed method, we applied it to artificial muscle control with strong asymmetric hysteresis characteristics and evaluated its robust performance against load changes during the experiment. The experimental results show that the proposed method based on DF achieves high control performance and is robust against changes in the characteristics and/or target trajectory. The proposed method is also practical because it does not require system identification, model structure, or prior experimentation. © 2024 IEEE.

关键词： Time varying systems

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Compensation and control of Sinusoidal Torque Measurement Error 42

Compensation and Control of Sinusoidal Torque Measurement Er...

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42nd Chinese control Conference, CCC 2023

作者： Chen, Wei Lan, Chunyun Li, Kai Yuan, Feng Beijing Aerospace Automatic Control Institute Beijing100854 China School of Instrumentation Science and Technology Harbin Institute of Technology Harbin150001 China

ISBN: (纸本)9789887581543

The transmission characteristics of physical quantities such as torque, rotational speed and acceleration are important indicators to measure the input and output characteristics of a class of gear transmission mechanisms such as steering gear. Dynamic torque loading and testing are important experiments to measure this index. Sinusoidal signal is often used as an excitation source under laboratory test conditions because of its convenient generation, arbitrary derivation, flexible adjustment of amplitude, frequency, phase and other convenient factors. However, in practice, due to mechanical reasons such as shafting installation deviation and worktable flatness, the measured value and excitation source of torque sensor often have errors. This paper takes a kind of sinusoidal torque loading device as the research object, establishes a mathematical model of shafting installation deviation and platform flatness, and analyzes and compensates the experimental data based on the least square method and sinusoidal error compensation algorithm, A control algorithm using the inverse sine fitting signal as the excitation source is proposed. The experimental results verify the effectiveness of this algorithm, and lay a theoretical foundation for the dynamic loading experiment. © 2023 Technical Committee on control Theory, Chinese Association of Automation.

关键词： Error compensation

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Resilient annular finite-time synchronization for master-slave systems under scaling attacks

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IET control Theory and Applications 2023年第18期17卷 2458-2473页

作者： Murugesan, Sathishkumar Ishizaki, Takayuki Liu, Yen-Chen Department of Systems and Control Engineering Tokyo Institute of Technology Tokyo Japan Department of Mechanical Engineering National Cheng Kung University Tainan Taiwan

This paper investigates the resilient annular finite-time synchronization and boundedness problems for master-slave systems under dynamic event-triggered scheme (ETS), actuator faults, and scaling attacks. A comprehensive model for characterizing scaling attacks is presented. The switched dynamic ETS is developed to reduce the bandwidth pressure. Two different internal variables are designed, each of which changes based on the switching manifold. Simultaneously, the resilient problem of switched master-slave systems with respect to stochastic scaling attacks is considered, where there are limited malicious signals introduced by the adversary. Based on the Lyapunov-like function involving the different internal dynamic variables, a set of criteria is established in the form of linear matrix inequalities (LMIs), which guarantee the annular finite-time boundedness. Finally, two examples are presented to verify the theoretical findings. © 2023 The Authors. IET control Theory & Applications published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and technology.

关键词： Linear matrix inequalities

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A Multimodal EEG Identification Method for Complex Aerospace Target Recognition

A Multimodal EEG Identification Method for Complex Aerospace...

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2022 Chinese Automation Congress, CAC 2022

作者： Xu, Song Wang, Lina Liu, Zhenfei Beijing Aerospace Automatic Control Institute National Laboratory of Aerospace Intelligent Control Technology Beijing China

ISBN: (纸本)9781665465335

Accurate recognition of aerospace targets in complex flight scenarios is the primary crucial link to achieve intelligent decision-making and control of aircraft. In the face of open complex flight environments with variants, camouflage and deception, traditional target recognition methods cannot meet the needs of practical applications, and the performance of computer automatic image analysis methods is far from human recognition ability. This paper innovatively proposes a complex aerospace target recognition method based on multimodal EEG identification: proposes EEG signal acquisition and pre-processing techniques under complex visual stimulation, and accurately obtains EEG representation information under relevant visual stimulation;design a multi-wavelet analysis-based time-frequency feature extraction method and multi-scale time-domain feature extraction technology, and obtain effective discriminatory EEG features under different stimulation. The method is designed to obtain multimodal EEG features with effective discriminative ability under different stimuli. The experimental results show that the proposed method can effectively identify the target of interest, which is of great significant for promoting the development of intelligent perception and recognition models for new generation unmanned systems. © 2022 IEEE.

关键词： Wavelet transforms

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On the relationship between the activity at point of interests and road traffic

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Communications in Transportation Research 2023年第1期3卷 150-160页

作者： MátéKolat Tamás Tettamanti TamásBécsi Domokos Esztergár-Kiss Department of Control for Transportation and Vehicle Systems Faculty of Transportation Eng.and Vehicle Eng.Budapest University of Technology and EconomicsBudapest1111PestHungary Systems and Control Laboratory Institute for Computer Science and Control of the Eötvös Lorand Research NetworkBudapest1053PestHungary Department of Transport Technology and Economics Faculty of Transportation Eng.and Vehicle Eng.Budapest University of Technology and EconomicsBudapest1111PestHungary

The estimation and analysis of road traffic represent the preliminary steps towards satisfying the current needs for smooth,safe,and green ***,effective traffic monitoring is an essential topic alongside the planning of sustainable transportation systems and the development of new traffic management *** contrast to classical traffic detection solutions,this study investigates the correlation between travelers'social activities and road *** s's primary goal is to investigate the presence of the relationship between social activity and road traffic,which might allow an infrastructure-independent traffic monitoring technique as ***'s general activities at Point of Interest(POI)locations(measured as occupancy parameter)are correlated with traffic data so that,finally,proper proxys can be defined for link-level average traffic speed *** method is tested and evaluated using real-world traffic and POI occupancy data from Budapest(District XI.).The results of the correlation investigation justify an indirect relationship between activity at POIs and road traffic,which holds promise for future practical applicability.

关键词： Road traffic estimation Google popular times(GPT) Point of interest(POI) POI occupancy Genetic algorithm(GA)

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Measurement of SPT-140 Hall Thruster Swirl Torque during the Psyche Mission

Measurement of SPT-140 Hall Thruster Swirl Torque during the...

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AIAA Science and technology Forum and Exposition, AIAA SciTech Forum 2025

作者： Snyder, John Steven Nicholas, Austin K. Collins, Steven M. Ortega, Alejandro Lopez Electric Propulsion Group Jet Propulsion Laboratory California Institute of Technology PasadenaCA United States Navigation and Control Systems Engineer Jet Propulsion Laboratory California Institute of Technology PasadenaCA United States Guidance and Control Systems Section Jet Propulsion Laboratory California Institute of Technology PasadenaCA United States

ISBN: (数字)9781624107238

ISBN: (纸本)9781624107238

Hall-thruster swirl torque is small enough that it is difficult to measure in ground-based facilities, but large enough that its effects on interplanetary spacecraft can be significant and must be actively managed. NASA’s Psyche mission has provided the first opportunity to directly measure the swirl torque produced by a Hall thruster operating at powers greater than 1.5 kW. When the electric propulsion system is operating, the spacecraft attitude control methodology forces the net torque on the spacecraft to align with a pre-determined direction in the body frame, after which the thruster-induced swirl torque can be separated from the other torques acting on the spacecraft. The swirl torques produced by three of the four thrusters on the Psyche spacecraft were determined over the full operating discharge power range of 1.0 to 4.5 kW, and the maximum value of that torque was 0.86 mN-m at full power. It is shown that the SPT-140 swirl torque results can be scaled from full power to lower powers by the product of the discharge current and the magnet current, and evaluation of cruise thrusting data as the thruster is throttled down in power suggests that swirl torque is not changing significantly with time as a function of operating condition. Finally, calculations of swirl torque using updated numerical simulations are shown to agree reasonably well with the flight data, thus providing confidence in their use for other thrusters prior to flight. © 2025, American institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

关键词： NASA

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The Optimal Duty Cycle Model-Predictive control of PMSM Used for Satellite Payload 1

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17th Annual Conference of China Electrotechnical Society, CES 2022

作者： Li, Jialin Chen, Zhen Hu, Hengzai Liu, Xiangdong Bao, Liang School of Automatic Beijing Institute of Technology Beijing100081 China Key Laboratory of Drive and Control of Servo Motion System Ministry of Industry and Information Technology Beijing100081 China State Key Laboratory of Intelligent Control and Decision for Complex System Beijing100081 China Beijing Aerospace Automatic Control Institute Beijing100854 China

ISBN: (数字)9789819904082

ISBN: (纸本)9789819904075

Model-predictive control is emerging as an advanced control strategy for its feature that the state variables can be predicted according to the math model of the control system. In the PMSM drive application, conventional model-predictive control strategy induces current ripple due to the fact that the optimal voltage vector always acts on the system for the whole control period. In order to restrain the current ripple, the idea of duty cycle control is taken into MPC by inserting a zero vector into the optimal non-zero vector and regulating the duty cycle of non-zero vector. In this paper, the optimal duty cycle FSC-MPC strategy based on two different principles is investigated. Principle A is that the estimation is equal to the reference at the end of control cycle, and principle B is that the area under trace of the estimation is equal to that of reference. The calculation of duty based on the two different principles and the flow chart of the strategy are introduced in detail. Finally, the effectiveness of the optimal duty cycle FSC-MPC is firstly verified by the simulation, and then verified by the experimental results, which is implemented on the PMSM driver of the DQ-1 satellite payload. © 2023, Beijing Paike Culture Commu. Co., Ltd.

关键词： Model predictive control

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Enhanced Seagull Optimization Algorithm for Photovoltaic Cell Parameter Estimating 41

Enhanced Seagull Optimization Algorithm for Photovoltaic Cel...

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第41届中国控制会议

作者： Hongyin Wei Kailin Xu Jianming Zhang Institute of Cyber-Systems and Control State Key Laboratory of Industrial Control TechnologyZhejiang University

ISBN: (数字)9789887581536

ISBN: (纸本)9781665482561

In this paper,an enhanced seagull optimization algorithm based on a double group evolutionary mechanism(DSOA) is proposed for photovoltaic(PV) cell parameter *** the DSOA,a double group search strategy and time-based mutation strategy are added to the population renewal mechanism of the conventional *** performance of DSOA on standard benchmark functions is surprising;it was good at accuracy and exploitation,also convergence *** with SOA and the other two classical intelligent optimization algorithms,the performance of DSOA is comprehensively *** is adopted to estimate PV cell *** simulation results demonstrate that estimated currents of circuit model based on DSOA have high similarity to the measured value of the photovoltaic cell.

关键词： Photovoltaic(PV) parameter estimating seagull optimization algorithm intelligent optimization algorithms

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A novel motion coordination method for variable-sized multi-mobile robots

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Frontiers of Information technology & Electronic Engineering 2023年第4期24卷 521-535页

作者： Zichao XING Xingkai WANG Shuo WANG Weimin WU Ruifen HU State Key Laboratory of Industrial Control Technology Institute of Cyber-Systems and ControlZhejiang UniversityHangzhou 310027China

Multi-mobile robot systems(MMRSs)are widely used for transportation in industrial scenes such as manufacturing and *** an MMRS,motion coordination is important as collisions and deadlocks may lead to losses or system ***,in some scenarios,robot sizes are different when loaded and unloaded,which means that the robots are variable-sized,making motion coordination more *** methods based on zone control need to first divide the environment into disjoint zones,and then allocate the zones statically or dynamically for motion *** zone-control-based methods are not accurate enough for variable-sized multi-mobile robots and reduce the efficiency of the *** paper describes a motion coordination method based on glued nodes,which can dynamically avoid collisions and deadlocks according to the roadmap structure and the real-time paths of *** features make this method directly applicable to various scenarios,instead of dividing a roadmap into disjoint *** proposed method has been applied to many industrial projects,and this study is based on some manufacturing projects for *** analysis and experimental results show that the proposed algorithm is effective and efficient.

关键词： Multi-mobile robot system Collision avoidance Deadlock avoidance Glued nodes Motion coordination

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