Recent Developments in Automatic Control Systems.

By: Kondratenko, Yuriy PContributor(s): Vsevolod M. Kuntsevich, Arkadii A. ChikriiMaterial type: TextTextSeries: Automation, Control and Robotics SeriesPublisher: Aalborg : River Publishers, 2022Copyright date: �2022Edition: 1st edDescription: 1 online resource (492 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9788770226738Genre/Form: Electronic books.Additional physical formats: Print version:: Recent Developments in Automatic Control SystemsDDC classification: 629.8 Online resources: Click to View
Contents:
Front Cover -- Recent Developments in Automatic Control Systems -- Contents -- Preface -- List of Figures -- List of Tables -- List of Contributors -- List of Notations and Abbreviations -- Part I Advances in Theoretical Research of Control Systems -- 1 Control of Moving Object Groups in a Conflict Situation -- 1.1 Introduction -- 1.2 Function w(n, v), Encirclement by Pshenihnyi, Scheme of the Method of Resolving Functions -- 1.3 Group Pursuit of a Moving Object -- 1.4 Non-fixed Time of Game Termination -- 1.5 The Group Pursuit. Linear State Constraints -- 1.6 Principle of Shortest Broken Line in Successive Pursuit -- 1.7 Conclusion -- References -- 2 Applications of Variational Analysis to Controlled Sweeping Processes -- 2.1 Introduction and Discussions -- 2.2 Generalized Differentiation of Variational Analysis -- 2.3 Dynamic Optimization via Controlled Moving Sets -- 2.4 Sweeping Processes with Controlled Dynamics -- 2.5 Some Applications -- 2.6 Conclusion -- Acknowledgments -- References -- 3 Robust and Robustly-Adaptive Control of Some Noninvertible Memoryless Systems -- 3.1 Introduction -- 3.2 Problem Statement -- 3.3 Preliminaries -- 3.4 Robust Nonadaptive Control -- 3.5 Robustly-Adaptive Control of Square Systems (Case 1) -- 3.6 Robustly-Adaptive Control of Square Systems (Case 2) -- 3.7 Robustly-Adaptive Control of Nonsquare Systems -- 3.8 Conclusion -- References -- 4 Nonlinear Integral Inequalities and Differential Games of Avoiding Encounter -- 4.1 Introduction -- 4.1.1 On the First Integral Inequalities -- 4.1.2 Development of the Theory of Integral Inequalities (Brief Survey) -- 4.2 Investigation of Nonlinear Holder Type Integral Inequality -- 4.2.1 Main Results -- 4.2.2 Applications of Integral Inequalities in Differential Games of Avoiding an Encounter -- 4.2.3 Comparison of Results -- 4.2.4 Remarks -- 4.3 Conclusion.
Acknowledgments -- References -- 5 Principle of Time Dilation in Game Problems of Dynamics -- 5.1 Introduction -- 5.2 Statement of the Game Problem. Classic and Modified Pontryagin s Condition -- 5.3 Method Scheme -- 5.4 Main Statement -- 5.5 Example -- 5.6 Conclusion -- References -- 6 Method of Upper and Lower Resolving Functions for Pursuit Differential-difference Games with Pure Delay -- 6.1 Introduction -- 6.2 Statement of the Problem -- 6.3 Scheme of the Method -- 6.4 Conclusion -- References -- 7 Adaptive Method for the Variational Inequality Problem Over the Set of Solutions of the Equilibrium Problem -- 7.1 Introduction -- 7.2 Problem Formulation -- 7.3 Tikhonov-Browder Approximation -- 7.4 Algorithm -- 7.5 Proof of Algorithm Convergence -- 7.6 Algorithm for Two-Level Variational Inequalities -- 7.7 Conclusion -- Acknowlegdments -- References -- Part II Advances in Control Systems Application -- 8 Identification of Complex Systems in the Class of Linear Regression Models -- 8.1 Introduction -- 8.2 Active Experiments and Informative Data -- 8.3 Method of Identification -- 8.3.1 Model Order Selection -- 8.3.2 SVD Parametric Identification -- 8.3.3 Total Model Reconstruction -- 8.3.4 Quasioptimal Model Dimensions -- 8.4 Simulation Results -- 8.4.1 Algorithm of identification -- 8.4.2 Excitation of system modes -- 8.4.3 Effect of Using the Signal Part of Matrices -- 8.4.4 Effect of Discarding Data Close to Noise -- 8.4.5 The Best Systems for Identification -- 8.4.6 Model Order Determination -- 8.4.7 Maximum Dimension of Identifiable Model -- 8.5 Conclusion -- References -- 9 Fuzzy Systems Design: Optimal Selection of Linguistic Terms Number -- 9.1 Introduction -- 9.2 Related Works and Problem Statement -- 9.3 Information Technology for Fuzzy Systems Design and Structural Optimization with Optimal Selection of Linguistic Terms Number.
9.4 Design and Structural Optimization of the Fuzzy Control System for the Quadrotor Unmanned Aerial Vehicle -- 9.5 Conclusion -- References -- 10 Analysis of the Dynamics and Controllability of an Autonomous Mobile Robot with a Manipulator -- 10.1 Introduction -- 10.2 Results of Study of Dynamics and Control of Autonomous Mobile Robots -- 10.2.1 Problem Statement -- 10.2.2 Design of an Autonomous Mobile Robot with a Manipulator -- 10.2.3 Dynamics Analysis -- 10.2.4 Analysis of AMR with M Controllability -- 10.3 Conclusion -- Acknowledgments -- References -- 11 Safe Navigation of an Autonomous Robot in Dynamic and Unknown Environments -- 11.1 Introduction -- 11.2 Related Works -- 11.3 Problem Statement -- 11.4 Fuzzy based Path Planning -- 11.5 Adjusting Speed -- 11.6 Experiments and Evaluations -- 11.7 Conclusion -- Acknowledgments -- References -- 12 Algorithmic Procedures Synthesis of Robust-Optimal Control for Moving Objects -- 12.1 Introduction -- 12.2 Problem Review -- 12.3 Optimal Synthesis -- 12.3.1 Optimal Trajectory Planning -- 12.3.2 Determining Switching Moments of Control Functions in the Feedback Loops -- 12.3.3 Synthesizing Optimal Control Functions in the Corresponding Feedback Loops -- 12.4 Robust Correction -- 12.5 Experiments -- 12.5.1 Sea Vessel Maneuvering -- 12.5.2 Quadrotor UAV Stabilization -- 12.6 Conclusion -- References -- Part III Recent Developments in Collaborative Automation -- 13 Modeling of Cyber-Physical Systems -- 13.1 Introduction -- 13.2 Review of Modeling Methods for Cyber-Physical Systems -- 13.3 Problem Formulation -- 13.4 Building Models of a Logistic Cyber-Physical System -- 13.5 Simulation Results -- 13.6 Conclusion -- References -- 14 Reliability Control of Technical Systems based on Canonical Decomposition of Random Sequences -- 14.1 Introduction -- 14.2 Problem Statement -- 14.3 Solution.
14.3.1 Forecasting the State of Control Objects -- 14.3.2 Identification of Random Sequences Model' s Parameters based on Statistical Goodness-of-fit Tests -- 14.3.3 Method of Reliability Control of Technical Objects -- 14.4 Conclusion -- References -- 15 Petunin Ellipsoids in Automatic Control Systems Design -- 15.1 Introduction -- 15.2 Petunin Ellipses and Their Statistical Properties -- 15.2.1 Petunin Ellipse and Ellipsoids -- 15.2.2 Petunin Ellipses and Linear Constraints -- 15.2.3 Statistical Properties of Petunin' s Ellipses -- 15.2.4 Numerical Experiments -- 15.2.5 Prediction Sets -- 15.2.6 Hill' s Assumption A(n) -- 15.2.7 Testing Statistical Properties for Petunin Ellipses -- 15.3 Conclusion -- References -- 16 On Real-Time Calculation of the Rejected Takeoff Distance -- 16.1 Introduction -- 16.2 Dynamic Model of Aircraft Movement along the Runway -- 16.3 Analytical Solution of the Aircraft Motion Equation -- 16.4 Engine Thrust Modelling During Switching off and Reverse -- 16.5 Rejected Takeoff Distance Calculation -- 16.6 Interpolation of Aircraft Parameters using Constant Values -- 16.7 Estimation of Speed, Path and Time using Fixed Parameters of the Aircraft -- 16.8 Computer Simulation -- 16.9 Emulation Results -- 16.10 Model Verification -- 16.11 Conclusion -- References -- 17 Automated Control Problem for Dynamic Processes Applied to Cryptocurrency in Financial Markets -- 17.1 Introduction -- 17.1.1 Problem Statement -- 17.2 Cognitive Mapping of Cryptocurrency Usage in Financial Markets -- 17.3 Design of Unstable Cryptocurrency Rate Stabilization System -- 17.3.1 Experimental Study of the Stabilization System of Unstable Cryptocurrency Rate -- 17.4 The Problem of Constrained Internal and External Disturbances Suppression in Control of the Cryptocurrency CM Impulse Process.
17.4.1 Algorithm for the State Controller Design for the CM Impulse Process -- 17.4.2 Experimental Study of the System of Constrained Internal and External Disturbances Suppression in the Cryptocurrency CM Impulse Process Control -- 17.5 The Problem of Stabilizing the Coordinates of Cryptocurrency CM Nodes at Given Levels Based on Varying of Edge Weights and Nodes Coordinates -- 17.5.1 Design of a Discrete Controller -- 17.5.2 Experimental Studies of the Stabilization of Cryptocurrency CM Nodes Coordinates at Given Levels -- 17.6 Design of a System for Identifying CM Weighting Coefficients Based on Recurrent Least Squares Method -- 17.7 Conclusion -- References -- Index -- About the Editors -- Back Cover.
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Front Cover -- Recent Developments in Automatic Control Systems -- Contents -- Preface -- List of Figures -- List of Tables -- List of Contributors -- List of Notations and Abbreviations -- Part I Advances in Theoretical Research of Control Systems -- 1 Control of Moving Object Groups in a Conflict Situation -- 1.1 Introduction -- 1.2 Function w(n, v), Encirclement by Pshenihnyi, Scheme of the Method of Resolving Functions -- 1.3 Group Pursuit of a Moving Object -- 1.4 Non-fixed Time of Game Termination -- 1.5 The Group Pursuit. Linear State Constraints -- 1.6 Principle of Shortest Broken Line in Successive Pursuit -- 1.7 Conclusion -- References -- 2 Applications of Variational Analysis to Controlled Sweeping Processes -- 2.1 Introduction and Discussions -- 2.2 Generalized Differentiation of Variational Analysis -- 2.3 Dynamic Optimization via Controlled Moving Sets -- 2.4 Sweeping Processes with Controlled Dynamics -- 2.5 Some Applications -- 2.6 Conclusion -- Acknowledgments -- References -- 3 Robust and Robustly-Adaptive Control of Some Noninvertible Memoryless Systems -- 3.1 Introduction -- 3.2 Problem Statement -- 3.3 Preliminaries -- 3.4 Robust Nonadaptive Control -- 3.5 Robustly-Adaptive Control of Square Systems (Case 1) -- 3.6 Robustly-Adaptive Control of Square Systems (Case 2) -- 3.7 Robustly-Adaptive Control of Nonsquare Systems -- 3.8 Conclusion -- References -- 4 Nonlinear Integral Inequalities and Differential Games of Avoiding Encounter -- 4.1 Introduction -- 4.1.1 On the First Integral Inequalities -- 4.1.2 Development of the Theory of Integral Inequalities (Brief Survey) -- 4.2 Investigation of Nonlinear Holder Type Integral Inequality -- 4.2.1 Main Results -- 4.2.2 Applications of Integral Inequalities in Differential Games of Avoiding an Encounter -- 4.2.3 Comparison of Results -- 4.2.4 Remarks -- 4.3 Conclusion.

Acknowledgments -- References -- 5 Principle of Time Dilation in Game Problems of Dynamics -- 5.1 Introduction -- 5.2 Statement of the Game Problem. Classic and Modified Pontryagin s Condition -- 5.3 Method Scheme -- 5.4 Main Statement -- 5.5 Example -- 5.6 Conclusion -- References -- 6 Method of Upper and Lower Resolving Functions for Pursuit Differential-difference Games with Pure Delay -- 6.1 Introduction -- 6.2 Statement of the Problem -- 6.3 Scheme of the Method -- 6.4 Conclusion -- References -- 7 Adaptive Method for the Variational Inequality Problem Over the Set of Solutions of the Equilibrium Problem -- 7.1 Introduction -- 7.2 Problem Formulation -- 7.3 Tikhonov-Browder Approximation -- 7.4 Algorithm -- 7.5 Proof of Algorithm Convergence -- 7.6 Algorithm for Two-Level Variational Inequalities -- 7.7 Conclusion -- Acknowlegdments -- References -- Part II Advances in Control Systems Application -- 8 Identification of Complex Systems in the Class of Linear Regression Models -- 8.1 Introduction -- 8.2 Active Experiments and Informative Data -- 8.3 Method of Identification -- 8.3.1 Model Order Selection -- 8.3.2 SVD Parametric Identification -- 8.3.3 Total Model Reconstruction -- 8.3.4 Quasioptimal Model Dimensions -- 8.4 Simulation Results -- 8.4.1 Algorithm of identification -- 8.4.2 Excitation of system modes -- 8.4.3 Effect of Using the Signal Part of Matrices -- 8.4.4 Effect of Discarding Data Close to Noise -- 8.4.5 The Best Systems for Identification -- 8.4.6 Model Order Determination -- 8.4.7 Maximum Dimension of Identifiable Model -- 8.5 Conclusion -- References -- 9 Fuzzy Systems Design: Optimal Selection of Linguistic Terms Number -- 9.1 Introduction -- 9.2 Related Works and Problem Statement -- 9.3 Information Technology for Fuzzy Systems Design and Structural Optimization with Optimal Selection of Linguistic Terms Number.

9.4 Design and Structural Optimization of the Fuzzy Control System for the Quadrotor Unmanned Aerial Vehicle -- 9.5 Conclusion -- References -- 10 Analysis of the Dynamics and Controllability of an Autonomous Mobile Robot with a Manipulator -- 10.1 Introduction -- 10.2 Results of Study of Dynamics and Control of Autonomous Mobile Robots -- 10.2.1 Problem Statement -- 10.2.2 Design of an Autonomous Mobile Robot with a Manipulator -- 10.2.3 Dynamics Analysis -- 10.2.4 Analysis of AMR with M Controllability -- 10.3 Conclusion -- Acknowledgments -- References -- 11 Safe Navigation of an Autonomous Robot in Dynamic and Unknown Environments -- 11.1 Introduction -- 11.2 Related Works -- 11.3 Problem Statement -- 11.4 Fuzzy based Path Planning -- 11.5 Adjusting Speed -- 11.6 Experiments and Evaluations -- 11.7 Conclusion -- Acknowledgments -- References -- 12 Algorithmic Procedures Synthesis of Robust-Optimal Control for Moving Objects -- 12.1 Introduction -- 12.2 Problem Review -- 12.3 Optimal Synthesis -- 12.3.1 Optimal Trajectory Planning -- 12.3.2 Determining Switching Moments of Control Functions in the Feedback Loops -- 12.3.3 Synthesizing Optimal Control Functions in the Corresponding Feedback Loops -- 12.4 Robust Correction -- 12.5 Experiments -- 12.5.1 Sea Vessel Maneuvering -- 12.5.2 Quadrotor UAV Stabilization -- 12.6 Conclusion -- References -- Part III Recent Developments in Collaborative Automation -- 13 Modeling of Cyber-Physical Systems -- 13.1 Introduction -- 13.2 Review of Modeling Methods for Cyber-Physical Systems -- 13.3 Problem Formulation -- 13.4 Building Models of a Logistic Cyber-Physical System -- 13.5 Simulation Results -- 13.6 Conclusion -- References -- 14 Reliability Control of Technical Systems based on Canonical Decomposition of Random Sequences -- 14.1 Introduction -- 14.2 Problem Statement -- 14.3 Solution.

14.3.1 Forecasting the State of Control Objects -- 14.3.2 Identification of Random Sequences Model' s Parameters based on Statistical Goodness-of-fit Tests -- 14.3.3 Method of Reliability Control of Technical Objects -- 14.4 Conclusion -- References -- 15 Petunin Ellipsoids in Automatic Control Systems Design -- 15.1 Introduction -- 15.2 Petunin Ellipses and Their Statistical Properties -- 15.2.1 Petunin Ellipse and Ellipsoids -- 15.2.2 Petunin Ellipses and Linear Constraints -- 15.2.3 Statistical Properties of Petunin' s Ellipses -- 15.2.4 Numerical Experiments -- 15.2.5 Prediction Sets -- 15.2.6 Hill' s Assumption A(n) -- 15.2.7 Testing Statistical Properties for Petunin Ellipses -- 15.3 Conclusion -- References -- 16 On Real-Time Calculation of the Rejected Takeoff Distance -- 16.1 Introduction -- 16.2 Dynamic Model of Aircraft Movement along the Runway -- 16.3 Analytical Solution of the Aircraft Motion Equation -- 16.4 Engine Thrust Modelling During Switching off and Reverse -- 16.5 Rejected Takeoff Distance Calculation -- 16.6 Interpolation of Aircraft Parameters using Constant Values -- 16.7 Estimation of Speed, Path and Time using Fixed Parameters of the Aircraft -- 16.8 Computer Simulation -- 16.9 Emulation Results -- 16.10 Model Verification -- 16.11 Conclusion -- References -- 17 Automated Control Problem for Dynamic Processes Applied to Cryptocurrency in Financial Markets -- 17.1 Introduction -- 17.1.1 Problem Statement -- 17.2 Cognitive Mapping of Cryptocurrency Usage in Financial Markets -- 17.3 Design of Unstable Cryptocurrency Rate Stabilization System -- 17.3.1 Experimental Study of the Stabilization System of Unstable Cryptocurrency Rate -- 17.4 The Problem of Constrained Internal and External Disturbances Suppression in Control of the Cryptocurrency CM Impulse Process.

17.4.1 Algorithm for the State Controller Design for the CM Impulse Process -- 17.4.2 Experimental Study of the System of Constrained Internal and External Disturbances Suppression in the Cryptocurrency CM Impulse Process Control -- 17.5 The Problem of Stabilizing the Coordinates of Cryptocurrency CM Nodes at Given Levels Based on Varying of Edge Weights and Nodes Coordinates -- 17.5.1 Design of a Discrete Controller -- 17.5.2 Experimental Studies of the Stabilization of Cryptocurrency CM Nodes Coordinates at Given Levels -- 17.6 Design of a System for Identifying CM Weighting Coefficients Based on Recurrent Least Squares Method -- 17.7 Conclusion -- References -- Index -- About the Editors -- Back Cover.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2023. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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