Habituating Control for Nonsquare Nonlinear Processes

Richard B. McLain, Michael J. Kurtz, Michael A. Henson, Francis J. Doyle
1996 Industrial & Engineering Chemistry Research  
A controller design strategy for nonlinear systems with more manipulated inputs than controlled outputs is proposed. The technique is called "habituating control" as a result of its similarity to control schemes commonly used in biological systems. Nonlinear control laws that provide inputoutput linearization while simultaneously minimizing the "cost" of affecting control are derived. In the single-output case, the cost function employed differs according to the relative degrees of the two
more » ... ees of the two inputs. Local stability analysis shows that the resulting controller can provide a simple solution to the singularity and nonminimum phase problems. An extension of the controller design strategy for multiple-output processes also is presented. The proposed method is evaluated using nonlinear models of chemical and biochemical reaction systems.
doi:10.1021/ie960285h fatcat:7n5lkixvnrbgbnbepbyvefcppy