Recent Developments in Automatic Control Systems

Cover
Half Title
Series Page
Title Page
Copyright Page
Table of 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
Chapter 1: Control of Moving Object Groups in a Conflict Situation
1.1: Introduction
1.2: Function ω(n, ν), 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
Chapter 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
Chapter 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
Chapter 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 Hölder 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
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