∞control for a class of syste'/> Stability and H∞ Control of Systems with Variable Quantization Density in Both Input and Output Channels
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Stability and H∞ Control of Systems with Variable Quantization Density in Both Input and Output Channels

机译：输入和输出通道中具有变量量化密度的系统的稳定性和H∞控制

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This paper is concerned with the problems of stability analysis and H∞control for a class of systems with quantized signals in both control input channel and measurement output channel. The quantization density of each quantizer is considered to be variable, and the variations of the quantizers are governed by a Markov chain. With the aid of quantization-error-dependent Lyapunov function approach, a set of H∞controllers depending on the mode of quantization density are carried out to achieve the stochastic stability and the prescribed H∞performance of the closed-loop system. Finally, a numerical example is provided to illustrate the effectiveness of the proposed control method and the benefits of the variability of quantization density.
机译：本文涉及稳定性分析的问题和h∞控制输入​​通道和测量输出通道中具有量化信号的一类系统。每个量化器的量化密度被认为是可变的，并且量化器的变化由马尔可夫链控制。借助量化逆依赖Lyapunov功能方法，一组H∞根据量化密度的控制器进行控制器，以实现随机稳定性和规定的H.∞闭环系统的性能。最后，提供了一个数值示例以说明所提出的控制方法的有效性和量化密度可变性的益处。

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