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On the theory of λ-matrices based MIMO control system design

Bekhiti B., Dahimene A., Nail B., Hariche K.

Control and Cybernetics

2015

Vol. 44, no. 4

421--442

In this paper we have described a new design algorithm for the whole set of latent-structure assignments via the approaches of block structure of λ-matrices placement. The procedure that has been developed is based on decoupling of the interactions between control loops in a multivariable plant. The procedure is performed using matrix polynomial solvent reconstruction for the decoupling purposes. However, for the design of the trajectory tracking controller, each input-output pair is treated respectively by designing SISO controllers. A second procedure is the MIMO PID compensator design via the model-matching method. This latter algorithm has been developed in order to avoid the internal or the hidden instability, which may occur in the ﬁrst method, due to the block zeros - block poles cancellation.