Quantized event-based control of nonlinear systems

This paper studies event-based control of nonlinear systems with state quantization. It is assumed that the controlled system has a known input-to-state stabilizing control law. Two cases of the implementation of the control system are considered: sampling before quantization and quantization before sampling. The considered quantizer is assumed to have a finite number of quantization levels. By using the arguments of input-to-state stability (ISS), new event-triggering and dynamic quantization mechanisms are designed to deal with the interaction of the quantizer and the sampler. Under an ISS gain condition, it is guaranteed that infinitely fast sampling is avoided and the system state asymptotically converges to the origin.