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A new D-stability area for linear discrete-time systems

Krokavec Dušan, Filasová Anna

Archives of Control Sciences

2019

Vol. 29, No. 1

5--23

The paper addresses the problem of constrained pole placement in discrete-time linear systems. The design conditions are outlined in terms of linear matrix in equalities for the D-stable ellipse region in the complex Z plain. In addition, it is demonstrated that the D-stable circle region formulation is the special case of by this way formulated and solved pole placement problem. The proposed principle is enhanced for discrete-time linear systems with polytopic uncertainties.

LMI based control design for linear systems with distributed time delays

Filasova A., Gontkovič D., Krokavec D.

Archives of Control Sciences

2012

Vol. 22, no. 2

217-231

The paper concerns the problem of stabilization of continuous-time linear systems with distributed time delays. Using extended form of the Lyapunov-Krasovskii functional candidate, the controller design conditions are derived and formulated with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. The result give sufficient condition for stabilization of the system with distributed time delays. It is illustrated with a numerical example to note reduced conservatism in the system structure.