Deadbeat algorithms for multivariable process control

A process exhibits a deadbeat response when the error between input and output is reduced to zero in finite time. In this Paper design procedures for state feedback and minimal energy dynamic deadbeat controllers are presented. These controllers reduce the error between step input and output to zero, while at the same time assuring that the continuous system is in steady state. The resulting multivariable closed-loop system performs in a deadbeat manner within sample periods, where may be chosen by the designer subject to a minimum constraints. Design flexibility allows tradeoffs between settling time and control energy to be investigated. Stability properties of the closed-loop system are discussed and a realistic example presented.