Preface |
|
xiii | |
|
|
xxi | |
|
|
xxix | |
|
|
xxxi | |
|
List of Notations and Abbreviations |
|
|
xxxv | |
|
Part I Advances in Theoretical Research of Control Systems |
|
|
1 | (164) |
|
1 Control of Moving Object Groups in a Conflict Situation |
|
|
3 | (28) |
|
|
|
4 | (1) |
|
1.2 Function ω(n, v), Encirclement by Pshenihnyi, Scheme of the Method of Resolving Functions |
|
|
4 | (5) |
|
1.3 Group Pursuit of a Moving Object |
|
|
9 | (5) |
|
1.4 Non-fixed Time of Game Termination |
|
|
14 | (3) |
|
1.5 The Group Pursuit. Linear State Constraints |
|
|
17 | (5) |
|
1.6 Principle of Shortest Broken Line in Successive Pursuit |
|
|
22 | (5) |
|
|
27 | (4) |
|
|
27 | (4) |
|
2 Applications of Variational Analysis to Controlled Sweeping Processes |
|
|
31 | (30) |
|
|
2.1 Introduction and Discussions |
|
|
32 | (4) |
|
2.2 Generalized Differentiation of Variational Analysis |
|
|
36 | (3) |
|
2.3 Dynamic Optimization via Controlled Moving Sets |
|
|
39 | (9) |
|
2.4 Sweeping Processes with Controlled Dynamics |
|
|
48 | (3) |
|
|
51 | (4) |
|
|
55 | (6) |
|
|
56 | (1) |
|
|
56 | (5) |
|
3 Robust and Robustly-Adaptive Control of Some Noninvertible Memoryless Systems |
|
|
61 | (36) |
|
|
|
|
62 | (1) |
|
|
63 | (2) |
|
|
65 | (4) |
|
3.4 Robust Nonadaptive Control |
|
|
69 | (7) |
|
3.5 Robustly-Adaptive Control of Square Systems (Case 1) |
|
|
76 | (8) |
|
3.6 Robustly-Adaptive Control of Square Systems (Case 2) |
|
|
84 | (2) |
|
3.7 Robustly-Adaptive Control of Nonsquare Systems |
|
|
86 | (5) |
|
|
91 | (6) |
|
|
91 | (6) |
|
4 Nonlinear Integral Inequalities and Differential Games of Avoiding Encounter |
|
|
97 | (16) |
|
|
|
97 | (3) |
|
4.1.1 On the First Integral Inequalities |
|
|
97 | (1) |
|
4.1.2 Development of the Theory of Integral Inequalities (Brief Survey) |
|
|
98 | (2) |
|
4.2 Investigation of Nonlinear Holder Type Integral Inequality |
|
|
100 | (6) |
|
|
100 | (4) |
|
4.2.2 Applications of Integral Inequalities in Differential Games of Avoiding an Encounter |
|
|
104 | (1) |
|
4.2.3 Comparison of Results |
|
|
105 | (1) |
|
|
106 | (1) |
|
|
106 | (7) |
|
|
107 | (1) |
|
|
107 | (6) |
|
5 Principle of Time Dilation in Game Problems of Dynamics |
|
|
113 | (18) |
|
|
|
114 | (2) |
|
5.2 Statement of the Game Problem. Classic and Modified Pontryagin's Condition |
|
|
116 | (2) |
|
|
118 | (2) |
|
|
120 | (2) |
|
|
122 | (4) |
|
|
126 | (5) |
|
|
127 | (4) |
|
6 Method of Upper and Lower Resolving Functions for Pursuit Differential-difference Games with Pure Delay |
|
|
131 | (14) |
|
|
|
131 | (1) |
|
6.2 Statement of the Problem |
|
|
132 | (2) |
|
|
134 | (4) |
|
|
138 | (7) |
|
|
139 | (6) |
|
7 Adaptive Method for the Variational Inequality Problem Over the Set of Solutions of the Equilibrium Problem |
|
|
145 | (20) |
|
|
|
|
|
146 | (1) |
|
|
147 | (1) |
|
7.3 Tikhonov-Browder Approximation |
|
|
148 | (3) |
|
|
151 | (1) |
|
7.5 Proof of Algorithm Convergence |
|
|
152 | (6) |
|
7.6 Algorithm for Two-Level Variational Inequalities |
|
|
158 | (1) |
|
|
159 | (6) |
|
|
160 | (1) |
|
|
160 | (5) |
|
Part II Advances in Control Systems Application |
|
|
165 | (160) |
|
8 Identification of Complex Systems in the Class of Linear Regression Models |
|
|
167 | (30) |
|
|
|
|
|
168 | (1) |
|
8.2 Active Experiments and Informative Data |
|
|
169 | (4) |
|
8.3 Method of Identification |
|
|
173 | (5) |
|
8.3.1 Model Order Selection |
|
|
173 | (3) |
|
8.3.2 SVD Parametric Identification |
|
|
176 | (1) |
|
8.3.3 Total Model Reconstruction |
|
|
176 | (1) |
|
8.3.4 Quasioptimal Model Dimensions |
|
|
177 | (1) |
|
|
178 | (15) |
|
8.4.1 Algorithm of identification |
|
|
179 | (2) |
|
8.4.2 Excitation of system modes |
|
|
181 | (5) |
|
8.4.3 Effect of Using the Signal Part of Matrices |
|
|
186 | (1) |
|
8.4.4 Effect of Discarding Data Close to Noise |
|
|
187 | (1) |
|
8.4.5 The Best Systems for Identification |
|
|
188 | (1) |
|
8.4.6 Model Order Determination |
|
|
188 | (4) |
|
8.4.7 Maximum Dimension of Identifiable Model |
|
|
192 | (1) |
|
|
193 | (4) |
|
|
194 | (3) |
|
9 Fuzzy Systems Design: Optimal Selection of Linguistic Terms Number |
|
|
197 | (44) |
|
|
|
|
|
|
198 | (1) |
|
9.2 Related Works and Problem Statement |
|
|
199 | (5) |
|
9.3 Information Technology for Fuzzy Systems Design and Structural Optimization with Optimal Selection of Linguistic Terms Number |
|
|
204 | (10) |
|
9.4 Design and Structural Optimization of the Fuzzy Control System for the Quadrotor Unmanned Aerial Vehicle |
|
|
214 | (14) |
|
|
228 | (13) |
|
|
230 | (11) |
|
10 Analysis of the Dynamics and Controllability of an Autonomous Mobile Robot with a Manipulator |
|
|
241 | (20) |
|
|
|
|
|
242 | (2) |
|
10.2 Results of Study of Dynamics and Control of Autonomous Mobile Robots |
|
|
244 | (12) |
|
|
244 | (2) |
|
10.2.2 Design of an Autonomous Mobile Robot with a Manipulator |
|
|
246 | (1) |
|
|
247 | (6) |
|
10.2.4 Analysis of AMR with M Controllability |
|
|
253 | (3) |
|
|
256 | (5) |
|
|
257 | (1) |
|
|
257 | (4) |
|
11 Safe Navigation of an Autonomous Robot in Dynamic and Unknown Environments |
|
|
261 | (28) |
|
|
|
|
|
262 | (1) |
|
|
263 | (4) |
|
|
267 | (2) |
|
11.4 Fuzzy based Path Planning |
|
|
269 | (6) |
|
|
275 | (1) |
|
11.6 Experiments and Evaluations |
|
|
275 | (2) |
|
|
277 | (12) |
|
|
278 | (1) |
|
|
278 | (11) |
|
12 Algorithmic Procedures Synthesis of Robust-Optimal Control for Moving Objects |
|
|
289 | (36) |
|
|
|
|
290 | (4) |
|
|
294 | (2) |
|
|
296 | (9) |
|
12.3.1 Optimal Trajectory Planning |
|
|
297 | (5) |
|
12.3.2 Determining Switching Moments of Control Functions in the Feedback Loops |
|
|
302 | (1) |
|
12.3.3 Synthesizing Optimal Control Functions in the Corresponding Feedback Loops |
|
|
302 | (3) |
|
|
305 | (4) |
|
|
309 | (8) |
|
12.5.1 Sea Vessel Maneuvering |
|
|
309 | (2) |
|
12.5.2 Quadrotor UAV Stabilization |
|
|
311 | (6) |
|
|
317 | (8) |
|
|
318 | (7) |
|
Part III Recent Developments in Collaborative Automation |
|
|
325 | (120) |
|
13 Modeling of Cyber--Physical Systems |
|
|
327 | (28) |
|
|
|
|
327 | (1) |
|
13.2 Review of Modeling Methods for Cyber--Physical Systems |
|
|
328 | (7) |
|
|
335 | (1) |
|
13.4 Building Models of a Logistic Cyber--Physical System |
|
|
336 | (9) |
|
|
345 | (6) |
|
|
351 | (4) |
|
|
352 | (3) |
|
14 Reliability Control of Technical Systems based on Canonical Decomposition of Random Sequences |
|
|
355 | (24) |
|
|
|
|
|
356 | (1) |
|
|
357 | (1) |
|
|
357 | (17) |
|
14.3.1 Forecasting the State of Control Objects |
|
|
357 | (13) |
|
14.3.2 Identification of Random Sequences Model's Parameters based on Statistical Goodness-of-fit Tests |
|
|
370 | (3) |
|
14.3.3 Method of Reliability Control of Technical Objects |
|
|
373 | (1) |
|
|
374 | (5) |
|
|
374 | (5) |
|
15 Petunin Ellipsoids in Automatic Control Systems Design |
|
|
379 | (20) |
|
|
|
|
|
380 | (1) |
|
15.2 Petunin Ellipses and Their Statistical Properties |
|
|
381 | (13) |
|
15.2.1 Petunin Ellipse and Ellipsoids |
|
|
381 | (3) |
|
15.2.2 Petunin Ellipses and Linear Constraints |
|
|
384 | (1) |
|
15.2.3 Statistical Properties of Petunin's Ellipses |
|
|
385 | (1) |
|
15.2.4 Numerical Experiments |
|
|
386 | (3) |
|
|
389 | (1) |
|
15.2.6 Hill's Assumption A{n) |
|
|
389 | (2) |
|
15.2.7 Testing Statistical Properties for Petunin Ellipses |
|
|
391 | (3) |
|
|
394 | (5) |
|
|
394 | (5) |
|
16 On Real-Time Calculation of the Rejected Takeoff Distance |
|
|
399 | (14) |
|
|
|
|
|
400 | (1) |
|
16.2 Dynamic Model of Aircraft Movement along the Runway |
|
|
401 | (1) |
|
16.3 Analytical Solution of the Aircraft Motion Equation |
|
|
402 | (1) |
|
16.4 Engine Thrust Modelling During Switching off and Reverse |
|
|
402 | (2) |
|
16.5 Rejected Takeoff Distance Calculation |
|
|
404 | (2) |
|
16.6 Interpolation of Aircraft Parameters using Constant Values |
|
|
406 | (1) |
|
16.7 Estimation of Speed, Path and Time using Fixed Parameters of the Aircraft |
|
|
407 | (1) |
|
|
408 | (3) |
|
|
411 | (2) |
|
|
413 | (4) |
|
|
413 | (4) |
|
|
414 | (3) |
|
17 Automated Control Problem for Dynamic Processes Applied to Cryptocurrency in Financial Markets |
|
|
417 | (28) |
|
|
|
|
|
418 | (1) |
|
|
419 | (1) |
|
17.2 Cognitive Mapping of Cryptocurrency Usage in Financial Markets |
|
|
419 | (4) |
|
17.3 Design of Unstable Cryptocurrency Rate Stabilization System |
|
|
423 | (4) |
|
17.3.1 Experimental Study of the Stabilization System of Unstable Cryptocurrency Rate |
|
|
424 | (3) |
|
17.4 The Problem of Constrained Internal and External Disturbances Suppression in Control of the Cryptocurrency CM Impulse Process |
|
|
427 | (7) |
|
17.4.1 Algorithm for the State Controller Design for the CM Impulse Process |
|
|
432 | (1) |
|
17.4.2 Experimental Study of the System of Constrained Internal and External Disturbances Suppression in the Cryptocurrency CM Impulse Process Control |
|
|
433 | (1) |
|
17.5 The Problem of Stabilizing the Coordinates of Cryptocurrency CM Nodes at Given Levels Based on Varying of Edge Weights and Nodes Coordinates |
|
|
434 | (6) |
|
17.5.1 Design of a Discrete Controller |
|
|
437 | (2) |
|
17.5.2 Experimental Studies of the Stabilization of Cryptocurrency CM Nodes Coordinates at Given Levels |
|
|
439 | (1) |
|
17.6 Design of a System for Identifying CM Weighting Coefficients Based on Recurrent Least Squares Method |
|
|
440 | (2) |
|
|
442 | (3) |
|
|
442 | (3) |
Index |
|
445 | (4) |
About the Editors |
|
449 | |