Design of Polynomial Control Laws for Polynomial Systems Subject to Actuator Saturation

• Published in: IEEE transactions on automatic control Vol. 58; no. 7; pp. 1758 - 1770
• Main Authors: Valmorbida, G., Tarbouriech, S., Garcia, G.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.07.2013; The Institute of Electrical and Electronics Engineers, Inc. (IEEE); Institute of Electrical and Electronics Engineers
• Subjects: Automatic; Engineering Sciences; Input-saturation; Linear matrix inequalities; Lyapunov method; Lyapunov methods; Numerical stability; polynomial systems; Polynomials; Stability analysis; sum-of-squares; Symmetric matrices; Vectors

This paper presents results for the design of polynomial control laws for polynomial systems in global and regional contexts. The proposed stabilization conditions are based on inequalities which are affine in both the Lyapunov function coefficients and the controller gains. Input saturations are in...