The entropy has been used to characterize the uncertainty of the tracking error for general nonlinear and non-Gaussian stochastic systems. A recursive optimization solution has been developed and the local stability condition of the closed-loop system has been established. The generality of this algorithm has been proved by the special case study of the minimum variance control for linear Gaussian systems.
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Yue, H., & Wang, H. (2003). Minimum entropy control of closed-loop tracking errors for dynamic stochastic systems. IEEE Transactions on Automatic Control, 48(1), 118–122. https://doi.org/10.1109/TAC.2002.806663