Title :
Construction of interval polynomial ensure the specified degree of robust stability
Author :
Ezangina, Tatiana ; Gayvoronskiy, Sergey ; Efimov, Semen
Author_Institution :
Nat. Res. Tomsk Polytech. Univ., Tomsk, Russia
Abstract :
The paper presents an original algorithm to determine the intervals of characteristic polynomial coefficients, which ensure that the polynomial roots are located leftward to the vertical line, which specifies the robust stability degree. This algorithm is built in conditions that provide linking indexes of stability and oscillation with interval coefficients of the characteristic polynomial. The paper reviews application of the algorithm for determination of the interval settings in a robust PID-controller. The efficiency of the algorithm was tested by construction of localization regions of roots of the synthesized interval polynomial.
Keywords :
robust control; three-term control; characteristic polynomial coefficients; interval coefficients; interval polynomial; localization regions; polynomial roots; robust PID-controller; robust stability degree; Algorithm design and analysis; Oscillators; Polynomials; Robust stability; Robustness; Stability criteria; coefficient parameters of quality; degree of robust stability; interval characteristic polynomial; interval-parametric synthesis; robust controller;
Conference_Titel :
Automatic Control Conference (CACS), 2014 CACS International
Print_ISBN :
978-1-4799-4586-3
DOI :
10.1109/CACS.2014.7097204
