Abstract
This paper focuses on the optimal control of continuous-time linear time-varying uncertain systems with completely unknown internal dynamics and proposes a novel approach which leads to an optimal controller with guaranteed stability. A model-free algorithm of adaptive dynamic programming is employed to deal with the uncertainty of system parameters, yielding an optimal feedback controller for the system subject to a predefined cost. Then the stability of the system in time-varying uncertain situation which may undergo parameter changes or jumps is analyzed from the perspective of finite-time stability. On the basis of these results, a switching control strategy is presented to ensure the stability of the time-varying uncertain system with desired optimality properties in the long run. The effectiveness of the strategy is verified by simulations on a DC torque motor servo system.
| Original language | English (US) |
|---|---|
| Title of host publication | 2017 Asian Control Conference, ASCC 2017 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1228-1233 |
| Number of pages | 6 |
| Volume | 2018-January |
| ISBN (Electronic) | 9781509015733 |
| DOIs | |
| State | Published - Feb 7 2018 |
| Event | 2017 11th Asian Control Conference, ASCC 2017 - Gold Coast, Australia Duration: Dec 17 2017 → Dec 20 2017 |
Other
| Other | 2017 11th Asian Control Conference, ASCC 2017 |
|---|---|
| Country | Australia |
| City | Gold Coast |
| Period | 12/17/17 → 12/20/17 |
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ASJC Scopus subject areas
- Control and Optimization
Cite this
Adaptive dynamic programming and optimal stabilization for linear systems with time-varying uncertainty. / Zhang, Meng; Gan, Ming Gang; Chen, Jie; Jiang, Zhong-Ping.
2017 Asian Control Conference, ASCC 2017. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. p. 1228-1233.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Adaptive dynamic programming and optimal stabilization for linear systems with time-varying uncertainty
AU - Zhang, Meng
AU - Gan, Ming Gang
AU - Chen, Jie
AU - Jiang, Zhong-Ping
PY - 2018/2/7
Y1 - 2018/2/7
N2 - This paper focuses on the optimal control of continuous-time linear time-varying uncertain systems with completely unknown internal dynamics and proposes a novel approach which leads to an optimal controller with guaranteed stability. A model-free algorithm of adaptive dynamic programming is employed to deal with the uncertainty of system parameters, yielding an optimal feedback controller for the system subject to a predefined cost. Then the stability of the system in time-varying uncertain situation which may undergo parameter changes or jumps is analyzed from the perspective of finite-time stability. On the basis of these results, a switching control strategy is presented to ensure the stability of the time-varying uncertain system with desired optimality properties in the long run. The effectiveness of the strategy is verified by simulations on a DC torque motor servo system.
AB - This paper focuses on the optimal control of continuous-time linear time-varying uncertain systems with completely unknown internal dynamics and proposes a novel approach which leads to an optimal controller with guaranteed stability. A model-free algorithm of adaptive dynamic programming is employed to deal with the uncertainty of system parameters, yielding an optimal feedback controller for the system subject to a predefined cost. Then the stability of the system in time-varying uncertain situation which may undergo parameter changes or jumps is analyzed from the perspective of finite-time stability. On the basis of these results, a switching control strategy is presented to ensure the stability of the time-varying uncertain system with desired optimality properties in the long run. The effectiveness of the strategy is verified by simulations on a DC torque motor servo system.
UR - http://www.scopus.com/inward/record.url?scp=85047559263&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85047559263&partnerID=8YFLogxK
U2 - 10.1109/ASCC.2017.8287346
DO - 10.1109/ASCC.2017.8287346
M3 - Conference contribution
VL - 2018-January
SP - 1228
EP - 1233
BT - 2017 Asian Control Conference, ASCC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
ER -