论文信息 - An innovations approach to dual control

An innovations approach to dual control

The control of a stochastic system with unknown parameters is considered. A novel cost function which includes the variance of the innovations process is used to optimize the performance of the system. The cost function has two parts. One that reflects the goal of regulating the output, and the second one that reflects the need to gather as much information as possible about the parameters of the system, the latter being represented by the variance of the innovation process. The control law derived has an explicit solution that allows for an easy implementation, and has dual properties. The relationships among the controller obtained in this paper and the certainty equivalence and cautious controllers are analyzed. Simulation results show the quasi-optimal performance of the new controller.

R. Padilla | R. Milito | C. Padilla | D. Cadorin

[1] T. Kailath,et al. An innovations approach to least-squares estimation--Part II: Linear smoothing in additive white noise , 1968 .

[2] K. Åström,et al. Problems of Identification and Control , 1971 .

[3] Björn Wittenmark,et al. On Self Tuning Regulators , 1973 .

[4] Y. Bar-Shalom,et al. Wide-sense adaptive dual control for nonlinear stochastic systems , 1973 .

[5] Y. Bar-Shalom,et al. Dual effect, certainty equivalence, and separation in stochastic control , 1974 .

[6] J. Alster,et al. A technique for dual adaptive control , 1974, Autom..

[7] Björn Wittenmark,et al. Stochastic adaptive control methods: a survey , 1975 .

[8] Y. Bar-Shalom,et al. Concepts and Methods in Stochastic Control , 1976 .

[9] Lennart Ljung,et al. Theory and applications of self-tuning regulators , 1977, Autom..

[10] C. Padilla,et al. Sensitivity adaptive feedback with estimation redistribution , 1978 .

[11] Y. Bar-Shalom,et al. A multiple model adaptive dual control algorithm for stochastic systems with unknown parameters , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[12] C. Padilla,et al. Conceptual framework of SAFER control , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[13] Consuelo S. Padillaj,et al. A simple algorithm for SAFER control , 1980 .