Local stabilization of linear systems under amplitude and rate saturating actuators

• Published in: IEEE transactions on automatic control Vol. 48; no. 5; pp. 842 - 847
• Main Authors: Gomes da Silva, J.M., Tarbouriech, S., Garcia, G.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-05-2003; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Algorithms; Amplitudes; Applied sciences; Automatic control; Computer science; control theory; systems; Control system analysis; Control systems; Control theory. Systems; Exact sciences and technology; Hydraulic actuators; Iterative algorithms; Limit-cycles; Linear matrix inequalities; Linear systems; Miscellaneous; Modelling and identification; Output feedback; Representations; Saturation; Servomechanisms; Stability; Stabilization; Control; Linear system; Stabilization; First order; Saturation; Linear matrix inequality; Stabilization system
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2003.811265

This note addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible initial states is formulated from certain saturation nonlinearities representation and quadratic stability results. From this condition, an algorithm based on the iterative solution of linear matrix inequalities-based problems is proposed in order to compute the control law.