Stabilizing a nonlinear system with limited information

This paper is concerned with understanding information-based control aspects for nonlinear systems. Specifically, we extend the result and control schemes described in the work of D. Liberzon (2003) to nonlinear systems, characterizing the amount of information sufficient for global asymptotic stabilization. An underlying assumption is the existence of a feedback law, which stabilizes the system in the case of perfect information and, moreover, provides robustness with respect to measurement errors in the sense of input-to-state stability (ISS). This assumption is quite restrictive in general, although some results on designing such control laws are available.