Local stabilization of linear systems under amplitude and rate saturating actuators
Authors:
- J.M. Gomes da SilvaJSJ.M. Gomes da Silva
- S. TarbouriechSTS. Tarbouriech
- G. GarciaGGG. Garcia
Open Access
- 13 May 2003
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 48 (5) , 842-847
Abstract
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.Keywords
This publication has 20 references indexed in Scilit:
- Local stabilization of linear systems under amplitude and rate saturating actuators2002
- An analysis and design method for linear systems under nested saturation2002
- Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approachIEEE Transactions on Automatic Control, 2001
- On the use of multi-loop circle criterion for saturating control synthesisSystems & Control Letters, 2000
- Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturationAutomatica, 2000
- Maneuvering Flight Control with Actuator ConstraintsJournal of Guidance, Control, and Dynamics, 1997
- Semi-global stabilization of linear systems with position and rate-limited actuatorsSystems & Control Letters, 1997
- High performance bounded control1997
- H/sub ∞/ design with pole placement constraints: an LMI approachIEEE Transactions on Automatic Control, 1996
- Linear Matrix Inequalities in System and Control Theory1994