| Finite Gain Stabilization of Discrete-Time Linear Systems Subject to Actuator Saturation (2000) | |||||||||||||||
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| It is shown that, for neutrally stable discrete-time linear systems subject to actuator saturation, finite gain l p stabilization can be achieved by linear output feedback, for all p 2 (1; 1]. An explicit construction of the corresponding feedback laws is given. The feedback laws constructed also result in a closed-loop system that is globally asymptotically stable, and in an input-to-state estimate. Key Words : input saturation, discrete-time linear systems, finite gain stability, Lyapunov functions. 1 Introduction In this paper, we consider the problem of global stabilization of a discrete-time linear system subject to actuator saturation: P : ae x + = Ax + Boe(u + u 1 ); x 2 R n ; u 2 R m y = Cx+ u 2 ; y 2 R r (1) (we use the notation x + to indicate a forward shift, that is, for a function x and an integer t, x + (t) is x(t+1)), where u 1 2 R m is the actuator disturbance, u 2 2 R r is the sensor noise, and oe : R m ! R m represents actuator saturation, i.e... | |||||||||||||||
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