Title :
Stabilization of exponentially unstable linear systems with saturating actuators
Author :
Hu, Tingshu ; Lin, Zongli ; Qiu, Li
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
fDate :
6/1/2001 12:00:00 AM
Abstract :
We study the problem of stabilizing exponentially unstable linear systems with saturating actuators. The study begins with planar systems with both poles exponentially unstable. For such a system, we show that the boundary of the domain of attraction under a saturated stabilizing linear state feedback is the unique stable limit cycle of its time-reversed system. A saturated linear state feedback is designed that results in a closed-loop system having a domain of attraction that is arbitrarily close to the null controllable region. This design is then utilized to construct state feedback laws for higher order systems with two exponentially unstable poles
Keywords :
actuators; asymptotic stability; closed loop systems; control nonlinearities; control system synthesis; controllability; limit cycles; linear systems; poles and zeros; state feedback; attraction domain boundary; closed-loop system; exponentially unstable linear systems; exponentially unstable poles; high-order systems; null controllable region; planar systems; saturated stabilizing linear state feedback; saturating actuators; stabilization; state feedback law construction; time-reversed system; unique stable limit cycle; Control systems; Hydraulic actuators; Limit-cycles; Linear feedback control systems; Linear systems; Nonlinear control systems; Nonlinear equations; Open loop systems; Riccati equations; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
