Stability and Performance for Saturated Systems via Quadratic and Nonquadratic Lyapunov Functions

• Published in: IEEE transactions on automatic control Vol. 51; no. 11; pp. 1770 - 1786
• Main Authors: Tingshu Hu, Teel, A.R., Zaccarian, L.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.11.2006; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Algebra; Applied sciences; Bismaleimides; Computer science; control theory; systems; Control systems; Control theory. Systems; Deadzone; Design optimization; domain of attraction; Exact sciences and technology; Feedback; Inclusions; Inspection; Level set; Linear matrix inequalities; Lyapunov functions; Lyapunov method; Mathematical models; Nondestructive testing; nonlinear {\cal L}_{2} gain; Performance analysis; reachable set; Regional; saturation; Sensor systems; Stability; Stability analysis; Studies; Polytope; Differential form; reachable set; Regional analysis; Saturation; Feedback regulation; Dead zone; Quadratic system; Reachability analysis; Matrix function; Local effect; Convex hull; Lyapunov functions; Deadzone; Linear matrix inequality; Convex function; Performance analysis; Domain of attraction; Differential inclusion; Non destructive test; nonlinear C2 gain; Lyapunov function; Quadratic function
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2006.884942

In this paper, we develop a systematic Lyapunov approach to the regional stability and performance analysis of saturated systems in a general feedback configuration. The only assumptions we make about the system are well-posedness of the algebraic loop and local stability. Problems to be considered...