TY - GEN
T1 - Linear optimal tracking control
T2 - 2015 American Control Conference, ACC 2015
AU - Gao, Weinan
AU - Jiang, Zhong Ping
N1 - Publisher Copyright:
© 2015 American Automatic Control Council.
PY - 2015/7/28
Y1 - 2015/7/28
N2 - This paper addresses the optimal output regulation problem of linear systems with unknown system dynamics. The exogenous signal is presumed to be generated by a continuous-time linear exosystem. Firstly, we formulate the linear optimal output regulation problem (LOORP). Then, we give an offline solution of LOORP to design the optimal static state-feedback servoregulator by solving an algebraic Riccati equation (ARE) and a regulator equation. Instead of solving these two equations directly, by using state, input and exogenous signals collected online, we employ an approximate/adaptive dynamic programming (ADP) technique to seek online approximations of above equations whereby we get the approximated optimal servoregulator. Rigorous stability analysis shows that the closed-loop linear system is exponentially stable. Also, the output of the plant asymptotically tracks the given reference. Simulation results demonstrate the effectiveness of the proposed approach.
AB - This paper addresses the optimal output regulation problem of linear systems with unknown system dynamics. The exogenous signal is presumed to be generated by a continuous-time linear exosystem. Firstly, we formulate the linear optimal output regulation problem (LOORP). Then, we give an offline solution of LOORP to design the optimal static state-feedback servoregulator by solving an algebraic Riccati equation (ARE) and a regulator equation. Instead of solving these two equations directly, by using state, input and exogenous signals collected online, we employ an approximate/adaptive dynamic programming (ADP) technique to seek online approximations of above equations whereby we get the approximated optimal servoregulator. Rigorous stability analysis shows that the closed-loop linear system is exponentially stable. Also, the output of the plant asymptotically tracks the given reference. Simulation results demonstrate the effectiveness of the proposed approach.
UR - http://www.scopus.com/inward/record.url?scp=84940949811&partnerID=8YFLogxK
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U2 - 10.1109/ACC.2015.7172106
DO - 10.1109/ACC.2015.7172106
M3 - Conference contribution
AN - SCOPUS:84940949811
T3 - Proceedings of the American Control Conference
SP - 4929
EP - 4934
BT - ACC 2015 - 2015 American Control Conference
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 1 July 2015 through 3 July 2015
ER -