Special Session 49: Stochastic Control, Filtering and Related Fields

Robust optimal control of Bi-objective LQ system with noisy observation

Guangchen Wang
Shandong University
Peoples Rep of China
Co-Author(s):    Zhuangzhuang Xing
Abstract:
This talk is concerned with a kind of partially observable LQ control problem, where the coefficients of cost functional are uncertain representing different market conditions. By virtue of backward separation technique, stochastic maximum principle, as well as filtering method, a feedback form of candidate optimal control is designed. Moreover, through some delicate analysis, the existence of maximal reference probability is certified. Finally, a numerical simulation is presented to authenticate the theoretical results.