Stability, control and application of time-delay systems

✍ Scribed by Gao, Qingbin; Karimi, Hamid Reza (ed.)

• Publisher: Butterworth-Heinemann; Elsevier
• Year: 2019
• Tongue: English
• Leaves: 465
• Category: Library

✦ Synopsis

Stability, Control and Application of Time-Delay Systems gives a systematic description of these systems. It includes adequate designs of integrated modeling and control and frequency characterizations. Common themes revolve around creating certain synergies of modeling, analysis, control, computing and applications of time delay systems that achieve robust stability while retaining desired performance quality. The book provides innovative insights into the state-of-the-art of time-delay systems in both theory and practical aspects. It has been edited with an emphasis on presenting constructive theoretical and practical methodological approaches and techniques.

✦ Table of Contents

Cover......Page 1
Stability, Control andApplication ofTime-Delay Systems......Page 3
Copyright page......Page 4
Contributors......Page 5
Introduction......Page 9
LTI-TDS model......Page 11
Stability and spectral properties......Page 12
Algorithm steps in detail......Page 13
Continuous-time approximation......Page 16
Discrete-time approximation......Page 17
Approximation of neutral quasipolynomials......Page 18
Associated characteristic exponential polynomial approximation......Page 19
Neutral characteristic quasipolynomial approximation......Page 20
Retarded system......Page 21
Neutral system......Page 24
Conclusions......Page 27
References......Page 28
Introduction......Page 31
Modeling of series elastic actuators......Page 35
Gain design of series elastic actuators......Page 38
Critically damped controller gain design criterion......Page 39
Trade-off between torque and impedance control......Page 40
SEA impedance transfer function......Page 43
Effects of time delays and filtering......Page 44
Effect of load inertia......Page 46
Evaluation of the controller design......Page 47
Step response implementation......Page 50
Distributed operational space control of a mobile base......Page 53
Discussions and conclusion......Page 56
References......Page 57
Introduction......Page 60
Control framework......Page 62
Internal stability and string stability......Page 65
Head-to-tail transfer function......Page 67
Stability conditions......Page 70
Stability diagrams......Page 71
Numerical simulations......Page 73
Time-domain stability analysis......Page 75
Discussions......Page 78
References......Page 82
Introduction......Page 85
Problem statement......Page 87
H∞ design method......Page 91
W1,2 robustness criterion......Page 96
Numerical example......Page 100
References......Page 102
Introduction......Page 104
Notations and graph theory......Page 106
Some basic definitions of IQC......Page 107
Problem statement......Page 108
Main results......Page 109
State-feedback case......Page 110
Output-feedback case......Page 114
An illustrative example......Page 120
Conclusions......Page 122
Appendix......Page 125
References......Page 126
Introduction......Page 128
Dynamics of the rotor......Page 129
Stability analysis of the uncontrolled system......Page 131
Hovering flight: μ=0......Page 132
Horizontal flight: μ>0......Page 133
Stability analysis of the controlled system......Page 134
Hovering flight: Control without delay......Page 136
Hovering flight: Delayed control......Page 138
Stabilization of pitch divergence......Page 140
Stabilization of pitch-flap flutter......Page 141
Horizontal flight......Page 142
Concluding remarks......Page 144
References......Page 146
7The small signal stability region of power systems with time delay......Page 148
Power system and the time delay......Page 149
Power system small signal stability model with time delay......Page 150
Optimization-based boundary tracing algorithm......Page 152
Single-machine-infinite-bus system......Page 154
Time-delay impact on the power system......Page 156
Single-machine-infinite-bus system......Page 159
WSCC 3-generator-9-bus system......Page 161
References......Page 166
Introduction......Page 168
Modeling and control design with delays......Page 169
Car-following model......Page 170
Connected vehicle systems......Page 174
Robust string stability......Page 178
Uncertainties in a predecessor-follower system......Page 179
Robust connected cruise control design......Page 183
Conclusion......Page 186
References......Page 187
Introduction......Page 190
Robust stability of an uncertain system: A pseudospectral approach......Page 193
Computation of the pseudospectral abscissa......Page 197
Smoothness properties and optimization of the pseudospectral abscissa......Page 204
Numerical experiments......Page 206
Concluding remarks......Page 210
References......Page 211
Introduction......Page 213
Description of predictor feedback controllers......Page 214
Control problem without predictor......Page 215
The Smith predictor......Page 216
The modified Smith predictor......Page 218
Finite spectrum assignment......Page 220
Effect of initial conditions......Page 222
Implementation issues......Page 224
Application of observers......Page 225
Summary and conclusions......Page 226
References......Page 229
Introduction......Page 231
System model and definitions......Page 233
Relaxed L-K functional......Page 234
Stochastic admissibility criteria......Page 238
Definitions and assumptions......Page 240
Extended dissipativity criteria......Page 241
Problem formulation......Page 243
Useful lemmas......Page 244
Controller synthesis conditions......Page 246
Output-feedback control......Page 249
Extended dissipative filtering......Page 254
Conclusions......Page 256
References......Page 257
Further reading......Page 259
Introduction......Page 260
Problem formulation and preliminaries......Page 261
The introduction for fuzzy Markov jump model......Page 262
The introduction of event-triggered mechanism......Page 263
The model of reliable control......Page 264
Stability analysis and event-triggered controller design for FMJSs......Page 266
Stability analysis for FMJSs......Page 267
Event-triggered reliable controller design for FMJSs......Page 271
Numerical example......Page 274
Conclusions......Page 278
References......Page 279
Introduction......Page 281
Problem statement and preliminaries......Page 283
Mittag-Leffler stability of linear systems......Page 284
Effective algorithms for stability test......Page 285
Evaluation of the test integral......Page 286
Nyquist frequency plot......Page 287
Calculation of the rightmost characteristic roots......Page 290
Stability of a class of systems with delay-dependent coefficients......Page 291
Concluding remarks......Page 293
References......Page 294
14Sliding mode control for Markovian jumping systems with time delays......Page 296
System description......Page 297
Main results......Page 298
Augmented system and SMO formulation......Page 299
Derivation of the error dynamics......Page 301
Stability analysis of the overall closed-loop plant......Page 302
Reachability of the sliding mode surface......Page 304
The complete system synthesis algorithm......Page 306
Simulation study......Page 307
Results illustration and discussion......Page 308
Conclusions and future work......Page 310
References......Page 314
Introduction......Page 315
Preliminaries......Page 317
NPC: Observer-based output feedback case......Page 319
NPC: State feedback case......Page 320
Without delay mismatch......Page 322
With delay mismatch......Page 324
A numerical example......Page 325
State feedback case......Page 326
Observer-based output feedback case......Page 328
References......Page 329
Introduction......Page 332
Simple random walks......Page 333
Gambler's ruin......Page 335
θ=0 (τr=τp)......Page 337
θ> 0 (τr > τp)......Page 338
Comparison against computer simulations......Page 341
θ< 0 (τr < τp)......Page 342
Discussion......Page 343
Ruin probability......Page 344
Acknowledgments......Page 345
References......Page 346
Introduction......Page 347
Problem formulation......Page 349
Event generator and switching controller synthesis: The shortnetwork-induced delay case......Page 352
Event generator and switching controller synthesis: Combined the shortnetwork-induced delay and the packet dropout case......Page 355
Self-triggered control......Page 357
An example......Page 359
References......Page 362
Introduction......Page 364
Problem statement......Page 366
Convergence analysis......Page 371
Converting BMI into LMI......Page 372
Particular solution: The case of M measurements......Page 373
Classical approach......Page 374
Comparison from LMI feasibility point of view......Page 375
Illustrative examples......Page 376
Example 1......Page 377
Conclusion......Page 380
References......Page 381
Introduction......Page 384
Problem statement......Page 386
Existence conditions......Page 389
Stability conditions......Page 390
Simulation and results......Page 394
References......Page 398
Introduction......Page 401
Problem statement......Page 403
Existence conditions and gain parameterization......Page 406
Stability conditions for gain computation......Page 408
Simulation and results......Page 414
References......Page 417
Introduction......Page 419
Problem statement......Page 421
Robust sliding window observer synthesis......Page 424
Particular solution: The case of two measurements......Page 426
Discussion on the enhancement......Page 427
Filters comparison......Page 428
Comparison from computational complexity point of view......Page 429
Simulation results......Page 430
First case......Page 431
Second case......Page 432
References......Page 434
Introduction......Page 436
Definition of the fractional-order operator......Page 438
Fractional-order state space model......Page 440
Problem definition......Page 441
Identification method......Page 442
Simulation examples......Page 444
Example 1: Fractional commensurate case......Page 445
Example 2: Fractional noncommensurate example......Page 446
References......Page 454
D......Page 457
F......Page 458
I......Page 459
N......Page 460
P......Page 461
S......Page 462
T......Page 463
Z......Page 464
Back Cover......Page 465

✦ Subjects

Feedback control systems;Time delay systems;Electronic books