Handling parameter ranking, equalities and bounds in adaptive control of blending systems

This paper presents solutions to handle ranking, equalities and bounds for the parameter estimates of a linear adaptive controller scheme used in the production of commercial fuels by blending. The control problem under consideration is a multi-variable output regulation problems with large uncertainties in the plant parameters. It can be solved using a specifically designed adaptive controller which combines constrained optimization and a closedloop estimator of the plant parameters. As in numerous applications of adaptive control, while output convergence is usually guaranteed under feasibility assumptions, little is known about the asymptotic behavior of the parameter estimates themselves. Yet, from an application view-point, it is desired that these estimates satisfy some physical properties. In particular, parameters ranking, equalities and bounds are of practical importance and assert the consistency of the estimation. In this paper we expose techniques that guarantee this desired behavior.