L2 stability for quantized linear systems with saturations
نویسنده
چکیده
This paper deals with ultimate bounded stability analysis and stabilization conditions for systems involving input saturation and quantized control law, which corresponds to the state quantization case. The state feedback control design problem is then addressed. Theoretical results to ensure the ultimate boundedness and the L2 stability of the closed-loop system are presented both in local as well as global contexts. The saturation and quantized nonlinearities are tackled through the use of some modified sector conditions. The proposed conditions are then cast in convex optimization problems aiming at maximizing the region of attraction of the closed-loop system and minimizing the set in which the closed-loop trajectories are ultimately bounded, maximizing the bound of admissible L2 disturbances or maximizing the L2-gain from the disturbance to the regulated output.
منابع مشابه
Lyapunov functions for ℒ2 and input-to-state stability in a class of quantized control systems
L2 and input-to-state stability (ISS) properties of a class of linear quantized control systems are considered. The quantized control system differs slightly from the ones considered in the literature previously. A recently proposed hybrid modeling framework and corresponding Lyapunov analysis tools are used to calculate the finite gains of the closed loop system.
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