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

By Tingshu Hu, Zongli Lin, Ben M. Chen. Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2002

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Saturated control design for linear differential inclusions subject to disturbance (2009, background): “Stability and performance for saturated systems via the convex hull quadratic Lyapunov function were researched in [10, 11].”
Design of Switched Linear Systems in the Presence of Actuator Saturation (2007, positive): “Our design relies on the convex hull expression of the saturation of saturated linear feedback [5], [6].”
Regional stabilization and H∞ control of time‐delay systems with saturating actuators (2003, methodology): “The present paper utilizes the method of References [6] and [13], of transforming a system with actuator saturation non-linearities into a convex polytope of linear systems.”
Technical Communique: On reachable sets for linear systems with delay and bounded peak inputs (2003, methodology): “It may be used for solving peak-to-peak minimization problem (Abegor, Nagpal, & Poolla, 1996) or to control problems with saturating actuators (Tarbouriech, Garcia, & Gomes da Silva, 2002; Hu, Lin, & Chen, 2002 ).”
Analysis and design for discrete-time linear systems subject to actuator saturation (2001, methodology): “Although a natural discrete-time counterpart of Theorem 1 in [8], the above theorem cannot be proven in a similar way.”