Robust stability of linear control system with matrix uncertainty

Abstract

The work is devoted to working out of new methods for analysis of robust stability and robust stabilization of linear dynamic systems. Sufficient stability conditions of the zero solution are formulated for a linear system with uncertain coefficient matrices and a measured output feedback. In addition, a common quadratic Lyapunov function and ellipsoidal set of stabilizing matrixes of amplification factors of a output feedback are given for the whole set of system. Application of the results is reduced to a solution of systems of linear matrix inequalities.

Authors and Affiliations

Andrii Aliluiko, Ruslana Ruska

Keywords

Related Articles

Simulation of the welded roof truss behaviour under distributed loadings

The paper deals with the typical 36x9m size welded steel roof truss behavior under the influence of evenly distributed static load of different intensity on its top chord. Computer simulation is performed taking advantag...

Bifurcation stability of spherical shells under dispersed cracking in shear materials

The present paper deals with the method for solution of the bifurcation stability of thin-walled structural elements of damage materials under single and cyclic loading. This method is developed by using a structural-pro...

Fracture pecularities of prestressed steel reinforcement under hydrogenation in the model working medium

Pecularities of fracture behaviour of progressively drawn pearlitic steels from the initial hot rolled bar (not cold drawn at all) to the final commercial product (prestressing steel wire) were investigated in air and un...

Detection of biomedical signals disruption using a sliding window

The article proposes the method of setting the time moments of biomedical signal disruption, in particular, the electroencephalographic (for establishing the time moments of the appearance of the processes of the speech...

The generalized model of interaction of ultrasonic sh-polarization wave with 2d strain field in a plane layer

Within the framework of previously developed mathematical model of small elastic perturbations propagation in homogeneously strained elastic continuum a stationary problem for interaction of a narrow ultrasonic beam of S...

Download PDF file
  • EP ID EP257937
  • DOI -
  • Views 54
  • Downloads 0

How To Cite

Andrii Aliluiko, Ruslana Ruska (2016). Robust stability of linear control system with matrix uncertainty. Вісник Тернопільського національного технічного університету, 82(2), 128-136. https://europub.co.uk/articles/-A-257937