TY - GEN
T1 - Policy-iteration-based adaptive optimal control for uncertain continuous-time linear systems with excitation signals
AU - Lee, Jae Young
AU - Park, Jin Bae
AU - Choi, Yoon Ho
PY - 2010
Y1 - 2010
N2 - This paper proposes a novel policy-iteration-based adaptive optimal scheme for uncertain continuous-time linear systems with excitation signals. The proposed method can solve the related linear quadratic optimal control problem in online fashion exactly and safely. In order to maintain persistence excitation condition, the controller injects the small excitation signals to the system. For this linear system with excitation signals, the policy iteration (PI) technique is investigated to adaptively find the optimal control law in the presence of both internal uncertainties and known excitation signals. For the proposed PI technique, the stability of the closed-loop system and convergence to the optimal solution are mathematically proven. Numerical simulations are carried out to verify the effectiveness of the proposed method.
AB - This paper proposes a novel policy-iteration-based adaptive optimal scheme for uncertain continuous-time linear systems with excitation signals. The proposed method can solve the related linear quadratic optimal control problem in online fashion exactly and safely. In order to maintain persistence excitation condition, the controller injects the small excitation signals to the system. For this linear system with excitation signals, the policy iteration (PI) technique is investigated to adaptively find the optimal control law in the presence of both internal uncertainties and known excitation signals. For the proposed PI technique, the stability of the closed-loop system and convergence to the optimal solution are mathematically proven. Numerical simulations are carried out to verify the effectiveness of the proposed method.
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M3 - Conference contribution
AN - SCOPUS:78751528766
SN - 9781424474530
T3 - ICCAS 2010 - International Conference on Control, Automation and Systems
SP - 646
EP - 651
BT - ICCAS 2010 - International Conference on Control, Automation and Systems
T2 - International Conference on Control, Automation and Systems, ICCAS 2010
Y2 - 27 October 2010 through 30 October 2010
ER -