IDENTIFICATION BY PARAMETER BOUNDS IN ADAPTIVE-CONTROL

Approximate solutions are suggested for receding horizon dual control to guarantee acceptable control performance of a plant with large a pr iori parameter uncertainties under poor excitation by the output refer ence and to satisfy the requirement of very fast adaptation using know ledge available on sensor and performance in industrial applications o f adaptive control. The aim of the paper is to present several levels of interaction between on-line identification and control performance using parameter bounds. An interesting theorem shows that parameter bo unding is a necessary part of the solution of the dual control problem . Starting from the complete separation of identification and control, various approximations are presented at different levels of optimalit y. Finally, the exact solution of the dual control problem is found fo r static gain adaptation, which implicitly involves a parameter-boundi ng identification procedure.