Abstract
Many continuous industrial processes working inside a large operating range can be modelled by bilinear continuous state equations. Their corresponding discrete model is of linear time-varying type. A way for digitally controlling those processes can be a closed loop linearization. The control law being implicit, the solution needs, during each sampling period, the use of a numerical iterative algorithm. This non-linear state feedback control law also requires observing the state of the process; it is shown how a discrete non-linear observer is derived from the discrete model. Simulation results are given concerning a monovariable process (chemical pilot plant) and a multivariable system (D.C. motor). The robustness of the control law is pointed out and it is shown how to get a decoupling control. Finally, experimental results from an application to the digital control of a chemical pilot plant are presented and discussed.
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