基于有限反馈比特率的事件触发控制系统稳定性条件

Stability Conditions of Event-triggered Control Systems with Finite Feedback Bit Rates

研究了在事件触发采样机制下,基于有限反馈比特率的网络化控制系统的量化反馈控制问题.该系统中的信息通过共享的数字网络进行传输,为提高网络资源利用效率而采用了基于模型的事件触发控制策略,仅当某个误差量超出给定范围时触发采样.针对实际网络带宽的有限性,引入动态量化器使用有限比特对反馈信号进行量化.给出了使系统渐近稳定的事件触发条件,并给出了单次量化的比特数下界以确保系统存在大于0的最小触发间隔.最后通过仿真验证了所设计的控制策略的有效性.

We study the problem of quantized feedback control in networked control systems at finite feedback bit rates under event-triggered sampling strategies. In such systems,information is transmitted through a shared digital network. To improve the efficiency of network resource utilization,we adopt a model-based event-triggered control strategy whereby sampling is triggered when a certain error variable exceeds pre-defined thresholds. To handle the limited bandwidth of real networks,we implement a dynamic quantizer to quantize feedback signals with a finite number of bits. We propose a triggering strategy by which systems can maintain asymptotic stability. Moreover,we provide a lower bound on the number of quantization bits in these systems to achieve a positive minimum inter-sampling time. Simulation results demonstrate the effectiveness of our proposed control strategy.