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On Anisotropy-Based Control Problem with Regional Pole Assignment for Descriptor Systems

P. 12–17.
Belov A. A., Andrianova O.

In this paper, anisotropy-based control problem with
regional pole assignment for descriptor systems is investigated.
The purpose is to find a state-feedback control law, which guar-
antees desirable disturbance attenuation level from stochastic
input with unknown covariance to controllable output of the
closed-loop system, and ensures, that all finite eigenvalues of
the closed-loop system belong to the given region inside the
unit disk. The proposed control design procedure is based on
solving convex optimization problem with strict constraints. The
numerical effectiveness is illustrated by numerical example.

Language: English
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DOI
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Keywords: descriptor systems

In book

Proceedings of the 2017 21st International Conference on Process Control, PC 2017
IEEE, 2017.
Similar publications
Non-iterative Solution to Robust Anisotropy-based Analysis and Control Problems for Uncertain Descriptor Systems
Andrianova O., Белов А. А., , in: 2019 23rd International Conference on System Theory, Control and Computing (ICSTCC).: IEEE, 2019. P. 455–460.
The problem of robust admissibilization with guaranteed random disturbance attenuation level for discrete-time time-invariant (LDTI) descriptor systems with norm-bounded uncertainties is considered. The input disturbance is supposed to be a stationary Gaussian sequence with bounded mean anisotropy level. The solutions to analysis and robust statefeedback control problems are formulated in terms of matrix inequalities. The obtained conditions are convex over ...
Added: December 5, 2019
Robust state-feedback H_\infty control for discrete-time descriptor systems with norm-bounded parametric uncertainties
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This paper deals with a state feedback H ∞ control problem for linear time-invariant discrete-time descriptor systems with norm-bounded parametric uncertainties. To this end, bounded real lemma (BRL) is extended on the class of uncertain descriptor systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical examples are included to illustrate ...
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In this paper, a problem of robust anisotropy-based control with regional pole assignment for descriptor systems with norm-bounded parametric uncertainties is concerned. The goal is to find a state-feedback control law, which guarantees desirable disturbance attenuation level from stochastic input with unknown covariance to controllable output of the closed-loop system, and ensures, that all finite ...
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This paper is dedicated to optimal state-feedback control problem for discrete-time descriptor systems in presence of “colored” noise with known mean anisotropy level. Here “colored” noise stands for a stationary Gaussian sequence, generated by a linear shaping filter from the Gaussian white noise sequence. The control goal is to find a state feedback control law which makes the closed-loop system admissible ...
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Belov A., Olga G. Andrianova, , in: PROCEEDINGS OF 2016 INTERNATIONAL CONFERENCE “STABILITY AND OSCILLATIONS OF NONLINEAR CONTROL SYSTEMS” (PYATNITSKIY’S CONFERENCE).: IEEE, 2016. P. 1–4.
In this paper, linear discrete-time descriptor systems with norm-bounded parametric uncertainties are under consideration. The input signal is supposed to be a “colored” noise with bounded mean anisotropy. Sufficient conditions of anisotropic norm boundedness for such class of systems are given. ...
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This paper deals with a state feedback H∞ control problem for linear discrete-time time-invariant (LDTI) uncertain descriptor systems. Considered systems contain norm-bounded parametric uncertainties in all matrices. Bounded real lemma (BRL) for descriptor systems with all known matrices is extended on the class of uncertain systems. The control design procedure based on the conditions of BRL for ...
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Linear stationary discrete-time descriptor systems with input sequences of random Gaussian nonzero-mean vectors with bounded mean anisotropy are under consideration. Conditions of anisotropic norm boundedness for such systems are given in terms of generalized discrete-time algebraic Riccati equations (GDARE) and linear matrix inequalities (LMI). On basis of these results, the algorithm of anisotropic norm computation ...
Added: October 20, 2017
Robust anisotropy-based control of linear discrete-time descriptor systems with norm-bounded uncertainties
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Added: October 19, 2017
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A class of systems, described by algebraic-difference equations, is under consideration. Such systems are called descriptor (singular). For these systems the conditions of anisotropic norm boundedness are obtained. Anisotropic norm describes the root mean square gain of the system with respect to random Gaussian stationary disturbances, which are characterized by mean anisotropy. The conditions are ...
Added: October 19, 2017
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