M. Soroush et S. Valluri, MULTIVARIABLE NONLINEAR CONTROLLER SYNTHESIS IN DISCRETE-TIME, Computers & chemical engineering, 22(7-8), 1998, pp. 1065-1088
For a nonlinear process with a generically singular characteristic mat
rix, input-output linearization is usually not achievable with a stati
c state feedback, and one has to use a dynamic state feedback. A syste
matic and general approach to input-output linearizing feedback contro
l of nonlinear processes with a generically singular or nonsingular ch
aracteristic matrix is presented. Mixed error- and state-feedback, err
or-feedback, and mixed error- and output-feedback control laws are der
ived. The derived feedback control laws reject step disturbances asymp
totically and induce linear, input-output, closed-loop behavior to the
process under consideration. The theoretical connections between the
derived control laws and (a) model predictive control and (b) several
already-available linear deadtime compensation methods are established
. The application and performance of the derived control laws are illu
strated and compared with those of model predictive control, by numeri
cal simulation of a chemical reactor. (C) 1998 Elsevier Science Ltd. A
ll rights reserved.