Quadratic Stability for Hybrid Systems With Nested Saturations

• Published in: IEEE transactions on automatic control Vol. 57; no. 7; pp. 1832 - 1838
• Main Authors: Fiacchini, M., Tarbouriech, S., Prieur, C.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.07.2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Asymptotic stability; Attraction; Automatic; Automatic control; Computation; Computer science; control theory; systems; Control system analysis; Control theory. Systems; Domain of attraction; Dynamical systems; Dynamics; Ellipsoids; Engineering Sciences; Estimation; Exact sciences and technology; Hybrid systems; Lyapunov methods; nested saturations; Saturation; Stability; Stability criteria; Trajectory; hybrid systems; Discrete time; Continuous time; Input saturation; Domain of attraction; Quadratic system; Local effect; nested saturations; stability; Global local method; Hybrid system
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2011.2178651

The problems of characterizing quadratic stability and computing an estimation of the domain of attraction for saturated hybrid systems are addressed. Hybrid systems presenting saturations and nested saturations on signals involved in both the continuous-time and the discrete-time dynamics are considered. Geometrical characterizations of local and global quadratic stability are provided. Computation oriented conditions for quadratic stability are given in form of convex constraints.