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Precompensator of nonlinear multivariable systems for a diagonal interactor

Mutoh Y.

Systems Science

2005

Vol. 31, no 2

45-55

An interactor is another expression of the structure at infinity of linear multivariable systems, which can be extended to nonlinear multivariable systems. Hence, as for linear systems, the interactor plays an important role also in the nonlinear control problems, e.g., decoupling control, model matching control, disturbance decoupling control, etc. But, in general, the interactor is a lower triangular polynomial matrix, which makes the control design problem complicated. This paper considers the precompensator for the affine nonlinear multivariable system such that the total system has a diagonal interactor. Our main purpose is to present the design algorithm of such a compensator and prove the convergence property of the algorithm for nonlinear systems.

Control of delay plants via continuous-time GPC principle

Kowalczuk Z., Suchomski P.

Control and Cybernetics

1999

Vol. 28, no 2

291-314

The continuous-time generalised predictive control (CGPC) is considered in the context of control of continuous-time systems having a transportation delay. It is shown that the basic CGPC design strategy can be given in a form which facilitates a clear discussion of relevant design consequences concerning stability issues. The main results that follow incorporate several solutions to the delay-plant control design problem and a verification of the proposed algorithms in terms of the closed-loop stability.