Control of linear systems with input saturation and non-input-additive sustained disturbances — Discrete-time systems

We study in this paper the control of discrete-time neutrally stable and critically unstable linear systems subject to input saturation and disturbances. It is shown that a feedback controller can be designed so that the closed-loop states remain bounded for two classes of disturbances and the equilibrium is globally asymptotically stable. This paper is a companion of [7].

[1]  Ali Saberi,et al.  On the Lp (ℓp) stabilization of open-loop neutrally stable linear plants with input subject to amplitude saturation , 2003 .

[2]  Ali Saberi,et al.  Control of open‐loop neutrally stable systems subject to actuator saturation and external disturbances , 2013 .

[3]  Ali Saberi,et al.  Control of a chain of integrators subject to actuator saturation and disturbances , 2011 .

[4]  Zheng Wen,et al.  On the Disturbance Response and External Stability of a Saturating Static-Feedback-Controlled Double Integrator , 2007, 2007 American Control Conference.

[5]  Guang-Ren Duan,et al.  A Parametric Lyapunov Equation Approach to Low Gain Feedback Design for Discrete-time Systems , 2008 .

[6]  Zongli Lin,et al.  Finite gain stabilization of discrete-time linear systems subject to actuator saturation , 2000, Autom..

[7]  Ali Saberi,et al.  Further results on the disturbance response of a double integrator controlled by a saturating linear static state feedback , 2012, Autom..

[8]  Ali Saberi,et al.  Simultaneous global external and internal stabilization of linear time-invariant discrete-time systems subject to actuator saturation , 2011, Proceedings of the 2011 American Control Conference.

[9]  Ping Hou,et al.  Simultaneous External and Internal Stabilization for Continuous and Discrete-Time Critically Unstable Linear Systems with Saturating Actuators , 1998, Autom..

[10]  Zongli Lin,et al.  Finite gain lp stabilization of discrete-time LinearSystems subject to actuator Saturation: The case of p=1 , 2003, IEEE Trans. Autom. Control..

[11]  Ali Saberi,et al.  Control of linear systems with input saturation and non-input-additive sustained disturbances — Continuous-time systems , 2012, 2012 American Control Conference (ACC).