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Quantized feedback stabilization of linear systems

机译:线性系统的量化反馈稳定

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This paper addresses feedback stabilization problems for linear time-invariant control systems with saturating quantized measurements. We propose a new control design methodology, which relies on the possibility of changing the sensitivity of the quantizer while the system evolves. The equation that describes the evolution of the sensitivity with time (discrete rather than continuous in most cases) is interconnected with the given system (either continuous or discrete), resulting in a hybrid system. When applied to systems that are stabilizable by linear time-invariant feedback, this approach yields global asymptotic stability.
机译:本文针对具有饱和量化测量的线性时不变控制系统的反馈镇定问题。我们提出了一种新的控制设计方法,该方法依赖于在系统演进时更改量化器灵敏度的可能性。将描述灵敏度随时间变化的方程(在大多数情况下为离散而不是连续的)与给定的系统(连续或离散)互连,从而形成混合系统。当应用于通过线性时不变反馈可稳定的系统时,此方法可产生全局渐近稳定性。

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