Abstract In this paper, a design scheme of generalized predictive control(GPC) systems is proposed for multivariable systems. Generally, the multivariable GPC does not only require the huge amount of calculations, but also make the design of the control weighting factor included in the GPC criterion difficult. The proposed scheme firstly adopts a static pre-compensator as an approximately decoupling device, in order to roughly decouple the controlled system. Furthermore, by regarding the roughly decoupled system as plural single-input single-output subsystems and taking account of robust stability for uncertainties, a single-input single-output GPC system is designed for each subsystem. Owing to this procedure, one can easily design each GPC system and the amount of the required calculations is much less than that of the conventional multivariable GPC.
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