scholarly journals Computing μ-Values for Real and Mixed μ Problems

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 821
Author(s):  
Mutti-Ur Rehman ◽  
Muhammad Tayyab ◽  
Muhammad Fazeel Anwar
Keyword(s):  
Control Systems ◽  
Numerical Computation ◽  
Feedback System ◽  
Feedback Loops ◽  
Linear Control ◽  
Linear Control Systems ◽  
Linear Feedback ◽  
Feedback Systems ◽  
Perturbed System ◽  
Stability And Instability

In various modern linear control systems, a common practice is to make use of control in the feedback loops which act as an important tool for linear feedback systems. Stability and instability analysis of a linear feedback system give the measure of perturbed system to be singular and non-singular. The main objective of this article is to discuss numerical computation of the μ -values bounds by using low ranked ordinary differential equations based technique. Numerical computations illustrate the behavior of the method and the spectrum of operators are then numerically analyzed.

Linear Control Root-Clustering of Uncertain Systems

2014 ◽  
Author(s):  
S. Gutman
Keyword(s):  
Control Systems ◽  
Uncertain Systems ◽  
Closed Loop ◽  
Linear Control ◽  
Linear Control Systems ◽  
Linear Feedback ◽  
Important Class ◽  
Linear Feedback Control ◽  
Control Root ◽  
Clustering Criterion

In the design of linear control systems, it is desired to assign the closed loop spectrum in sub-regions (as opposed to locations) of the complex plane. The present paper establishes a matrix root-clustering criterion for an important class of regions, and develops a linear feedback control that assigns the closed loop spectrum in the desired region. This is done for both nominal and uncertain systems.

Vulnerabilities of Cyber-Physical Linear Control Systems to Sophisticated Attacks

2017 ◽  
Author(s):  
Verica Radisavljevic-Gajic ◽  
Seri Park ◽  
Danai Chasaki
Keyword(s):  
Control System ◽  
Nonlinear Systems ◽  
Control Systems ◽  
Feedback Loops ◽  
Linear Control ◽  
Linear Control Systems ◽  
Malicious Attacks ◽  
Physical Systems ◽  
Controllability And Observability ◽  
Time Invariant

The purpose of this paper is to examine fundamentals of linear control systems and consider vulnerability of the main cyber physical control system features and concepts under malicious attacks, first of all, stability, controllability, and observability, design of feedback loops, design and placement of sensors and controllers. The detailed study is limited to the most important vulnerability issues in time-invariant, unconstrained, deterministic, linear physical systems. Several interesting and motivations examples are provided. We outline also some basic vulnerability studies for time-invariant nonlinear systems.

First Harmonic Analysis of Linear Control Systems with High-Gain Saturating Feedback

1997 ◽  
Vol 07 (11) ◽  
pp. 2501-2510 ◽  
Author(s):  
Baltazar Aguirre ◽  
José Alvarez-Ramírez ◽  
Guillermo Fernández ◽  
Rodolfo Suárez
Keyword(s):  
Control Systems ◽  
Dynamical Behavior ◽  
High Gain ◽  
Linear Control ◽  
Linear Control Systems ◽  
Linear Feedback ◽  
Unstable Periodic Orbits ◽  
Region Of Attraction ◽  
Closed Loop System ◽  
Unstable Equilibrium Point

A first harmonic approach (describing function method) is used in this work to study the behavior of linear control systems with a saturating high-gain linear feedback. It is shown that when the eigenvalues of the closed-loop system are located deeper in the left-half complex plane, several unstable periodic orbits shrink to the origin, thus leading to an unstable equilibrium point. This dynamical behavior is interpreted as the vanishing of the region of attraction of the origin when a saturating high-gain feedback is used.

Fractional Vector-Order h-Realisation of the Impulse Response Function

2020 ◽  
Vol 14 (2) ◽  
pp. 108-113
Author(s):  
Ewa Pawłuszewicz
Keyword(s):  
Control Systems ◽  
Impulse Response ◽  
Response Function ◽  
Impulse Response Function ◽  
Linear Control ◽  
Linear Control Systems

AbstractThe problem of realisation of linear control systems with the h–difference of Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type fractional vector-order operators is studied. The problem of existing minimal realisation is discussed.

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