Title :
Stable cones of polynomials via Routh rays
Author :
Artemchuk, Igor ; Nurges, Ulo ; Belikov, Juri ; Kaparin, Vadim
Author_Institution :
Dept. of Comput. Control, Tallinn Univ. of Technol., Tallinn, Estonia
Abstract :
A problem of inner convex approximation of a stability domain is addressed in the paper for continuous-time linear control systems. A constructive procedure for generating stable cones of polynomials is provided. The main idea is based on the construction of so-called Routh rays (stable half-lines) starting from a given stable point. These lines serve as edges for the corresponding polyhedral Routh cones inside the stability domain. Several numerical examples are presented to illustrate introduced concepts and effectiveness of the proposed approach.
Keywords :
Routh methods; approximation theory; continuous time systems; convex programming; linear systems; polynomials; Routh rays; continuous-time linear control systems; inner convex approximation; polyhedral Routh cones; polynomials; stability domain; stable cones; Approximation methods; Control systems; Electronic mail; Numerical stability; Polynomials; Robustness; Stability criteria;
Conference_Titel :
Process Control (PC), 2015 20th International Conference on
Conference_Location :
Strbske Pleso
DOI :
10.1109/PC.2015.7169972
