STATE-SPACE METHODS FOR CONTROL SYSTEM DESIGN

State-space methods for control system design... 

For effective control of crystallizers, multivariable controllers are required. In order to design such controllers, a model in state space representation is required. Therefore the population balance has to be transformed into a set of ordinary differential equations. Two transformation methods were reported in the literature. However, the first method is limited to MSNPR crystallizers with simple size dependent growth rate kinetics whereas the other method results in very high orders of the state space model which causes problems in the control system design. Therefore system identification, which can also be applied directly on experimental data without the intermediate step of calculating the kinetic parameters, is proposed. 

The state-space approach is a generalized time-domain method for modelling, analysing and designing a wide range of control systems and is particularly well suited to digital computational techniques. The approach can deal with... 

The verification of digital instrumentation and control (I C) systems is challenging because of complicated control functions, and because the state spaces of the designs easily become too large for comprehensive manual inspection. Formal methods can provide more confidence on the correctness of I C systems. 

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