Title :
Robust stability of switched systems
Author :
Sloth, Christoffer ; Wisniewski, Rafael
Author_Institution :
Sect. of Autom. & Control, Aalborg Univ., Aalborg, Denmark
Abstract :
This paper presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function. A certificate of positivity in the Bernstein basis always exists if a polynomial is positive, and the Bernstein basis is shown to be well conditioned.
Keywords :
Lyapunov methods; linear programming; polynomials; robust control; switching systems (control); uncertain systems; vectors; Bernstein basis; Lyapunov functions; linear programming; parametric uncertainties; polynomial vector fields; robust stability; switched systems; Face; Lyapunov methods; Polynomials; Stability analysis; Switched systems; Uncertainty; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040119
