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
N1 - Funding Information:
*Research supported by the National Natural Science Foundation of China (Grant No. 61300497; Grant No. 61374042), the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 61321002) and the Program for Changjiang Scholars and Innovative Research Team in University (Grant No. IRT1208).
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.
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U2 - 10.1109/ASCC.2017.8287346
DO - 10.1109/ASCC.2017.8287346
M3 - Conference contribution
AN - SCOPUS:85047559263
T3 - 2017 Asian Control Conference, ASCC 2017
SP - 1228
EP - 1233
BT - 2017 Asian Control Conference, ASCC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 11th Asian Control Conference, ASCC 2017
Y2 - 17 December 2017 through 20 December 2017
ER -