Quantized output-feedback control of nonlinear systems: A cyclic-small-gain approach

This paper presents a fundamentally novel approach to quantized output-feedback control of nonlinear systems. The advances made toward this challenging, yet important, problem are a seamless integration of dynamic quantization and the recently developed cyclic-small-gain theorem. The constructed output-feedback quantized controller guarantees the input-to state stability (ISS) property for the closed-loop quantized system. More interestingly, an ISS-Lyapunov function is derived and is used in the implementation of output dynamic quantization, even with a 1-bit quantizer.