论文信息 - Adaptive control of linear delay time systems

Adaptive control of linear delay time systems

An adaptive control problem for linear, continuous time, discrete delay stochastic systems is described and solved in this paper. A solution of the adaptive control problem means that the family of maximum likelihood estimators are shown to be strongly consistent and te average costs are shown to converge to the optimal average cost. The unknown parameters in the model appear affinely in the drift term of the stochastic differential equation. The assumptions that are made for the solution are natural and verifiable

Tyrone E. Duncan | Bozenna Pasik-Duncan

[1] P. Caines,et al. Adaptive control with recursive identification for stochastic linear systems: Multivariable case , 1982, 1982 21st IEEE Conference on Decision and Control.

[2] T. Lai,et al. Least Squares Estimates in Stochastic Regression Models with Applications to Identification and Control of Dynamic Systems , 1982 .

[3] V. Solo. The convergence of AML , 1979 .

[4] Michel C. Delfour,et al. Stability and the Infinite-Time Quadratic Cost Problem for Linear Hereditary Differential Systems , 1975 .

[5] Karl Johan Åström,et al. Adaptive Control , 1989, Embedded Digital Control with Microcontrollers.

[6] C. Byrnes,et al. On the stabilizability of linear control systems depending on parameters , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[7] V. Borkar,et al. Identification and adaptive control of Markov chains , 1982 .

[8] P. Hall,et al. Martingale Limit Theory and Its Application , 1980 .

[9] P. Varaiya,et al. On the Solutions of a Stochastic Control System. II , 1971 .

[10] Tyrone E. Duncan. Estimation for linear pure delay time systems , 1985 .

[11] Michel C. Delfour,et al. Controllability, Observability and Optimal Feedback Control of Affine Hereditary Differential Systems , 1972 .