|
|
|
|
| LEADER |
01845nam a2200397Ia 4500 |
| 001 |
0.1016-j.jsv.2022.116898 |
| 008 |
220421s2022 CNT 000 0 und d |
| 020 |
|
|
|a 0022460X (ISSN)
|
| 245 |
1 |
0 |
|a On the admissible control-loop delay for the inverted pendulum subject to detuned PDA feedback
|
| 260 |
|
0 |
|b Academic Press
|c 2022
|
| 856 |
|
|
|z View Fulltext in Publisher
|u https://doi.org/10.1016/j.jsv.2022.116898
|
| 520 |
3 |
|
|a In this paper, we consider the stabilization of φ̈(t)−a0φ(t)=−kpφ(t−τ−δp)−kdφ̇(t−τ−δd)−kaφ̈(t−τ−δa),which describes the control of an inverted pendulum by detuned proportional–derivative–acceleration (PDA) feedback. We show that the system can be stabilized using an appropriate choice of the control parameters kp, kd, ka and δp, δd, δa≥0 if τ is smaller than the critical delay τcrit=6/a0. This value is larger by a factor of 3≈1.73 than the critical delay of the proportional–derivative (PD) feedback with a single delay. © 2022 The Authors
|
| 650 |
0 |
4 |
|a Acceleration feedback
|
| 650 |
0 |
4 |
|a Acceleration feedback
|
| 650 |
0 |
4 |
|a Admissible control
|
| 650 |
0 |
4 |
|a Control loop
|
| 650 |
0 |
4 |
|a Critical delay
|
| 650 |
0 |
4 |
|a Critical delays
|
| 650 |
0 |
4 |
|a Detuned
|
| 650 |
0 |
4 |
|a Differential equations
|
| 650 |
0 |
4 |
|a Feedback
|
| 650 |
0 |
4 |
|a Inverted pendulum
|
| 650 |
0 |
4 |
|a Inverted pendulum
|
| 650 |
0 |
4 |
|a Multiple time delays
|
| 650 |
0 |
4 |
|a Multiple time-delays
|
| 650 |
0 |
4 |
|a Neutral delay differential equations
|
| 650 |
0 |
4 |
|a Neutral delay differential equations
|
| 650 |
0 |
4 |
|a Pendulums
|
| 650 |
0 |
4 |
|a Proportional-Derivative
|
| 650 |
0 |
4 |
|a Stabilizability
|
| 650 |
0 |
4 |
|a Stabilizability
|
| 650 |
0 |
4 |
|a Time delay
|
| 700 |
1 |
0 |
|a Balogh, T.
|e author
|
| 700 |
1 |
0 |
|a Insperger, T.
|e author
|
| 700 |
1 |
0 |
|a Varszegi, B.
|e author
|
| 773 |
|
|
|t Journal of Sound and Vibration
|
