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Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems

Stanisławski R., Latawiec K. J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2013

Vol. 61, nr 2

363--370

This paper presents a series of new results on the asymptotic stability of discrete-time fractional difference (FD) state space systems and their finite-memory approximations called finite FD (FFD) and normalized FFD (NFFD) systems. In Part I of the paper, new necessary and sufficient stability conditions have been given in a unified form for FD, FFD and NFFD-based systems. Part II offers a new, simple, ultimate stability criterion for FD-based systems. This gives rise to the introduction of new definitions of the so-called f-poles and f-zeros for FD-based systems, which are used in the closed-loop stability analysis for FD-based systems and, approximately, for FFD/NFFD-based ones.

Design of output feedback compensator for smart structure model via reduced order model

Umapathy M., Bandyopadhyay B., Unbehauen H.

Systems Science

2002

Vol. 28, nr 4

61-84

A method of designing an output feedback compensator for vibration control of a flexible smart cantilever beam based on its reduced order model is presented. By retaining the first two vibration modes the state space model is obtained from a smart structure Finite Element Model (FEM). A reduced order model is obtained by retaining the first vibration mode. It has been shown that an output feedback compensator can be obtained for the smart structure model from the state feedback gains designed from its reduced order model. It has also been shown that if the compensator is placed in the closed loop with the higher order system, it guarantees the closed loop stability. As the states are not needed for feedback, the method is simple and can be easily implemented.

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.