An analysis and design method for linear systems subject to actuator saturation and disturbance

• Published in: Automatica (Oxford) Vol. 38; no. 2; pp. 351 - 359
• Main Authors: Hu, Tingshu, Lin, Zongli, Chen, Ben M.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.02.2002; Elsevier
• Subjects: Actuator saturation; Applied sciences; Computer science; control theory; systems; Control theory. Systems; Disturbance rejection; Domain of attraction; Exact sciences and technology; Invariant set; Modelling and identification; Stability; Disturbance rejection; Stability; Domain of attraction; Invariant set; Actuator saturation; Attraction; Invariant; Linear system; Saturation; Linear matrix inequality; Invarying system; Ellipsoid; Actuator

We present a method for estimating the domain of attraction of the origin for a system under a saturated linear feedback. A simple condition is derived in terms of an auxiliary feedback matrix for determining if a given ellipsoid is contractively invariant. This condition is shown to be less conserv...