TY - JOUR

T1 - Internal model control design for input-constrained multivariable processes

AU - Adegbege, A.A.

AU - Heath, W.P.

PY - 2011/12/31

Y1 - 2011/12/31

N2 - Multivariable plants under input constraints such as actuator saturation are liable to performance deterioration due to control windup and directionality change. A two-stage internal model control (IMC) antiwindup design for open loop stable plants is presented. The design is based on the solution of two low-order quadratic programs at each time step, which addresses both transient and steady-state behaviors of the system. For analyzing the robust stability of such systems against any infinity-norm bounded uncertainty, stability test have also been developed. In particular, we note that the controller input-output mappings satisfy certain integral quadratic constraints. Simulated examples show that the two-stage IMC has superior performance when compared with other existing optimization-based antiwindup methods. The stability test is illustrated for a plant with left matrix fraction uncertainty. A scenario where the proposed two-stage IMC competes favorably with a long prediction horizon model predictive control is described.

AB - Multivariable plants under input constraints such as actuator saturation are liable to performance deterioration due to control windup and directionality change. A two-stage internal model control (IMC) antiwindup design for open loop stable plants is presented. The design is based on the solution of two low-order quadratic programs at each time step, which addresses both transient and steady-state behaviors of the system. For analyzing the robust stability of such systems against any infinity-norm bounded uncertainty, stability test have also been developed. In particular, we note that the controller input-output mappings satisfy certain integral quadratic constraints. Simulated examples show that the two-stage IMC has superior performance when compared with other existing optimization-based antiwindup methods. The stability test is illustrated for a plant with left matrix fraction uncertainty. A scenario where the proposed two-stage IMC competes favorably with a long prediction horizon model predictive control is described.

U2 - 10.1002/aic.12540

DO - 10.1002/aic.12540

M3 - Erthygl

VL - 57

SP - 3459

EP - 3472

JO - AIChE Journal

JF - AIChE Journal

IS - 12

ER -