This paper studies the feedback control problem of nonlinear systems in strict-feedback form with state quantizers, which are static and bounded by sectors. Through a novel set-valued map based recursive control design approach, the quantized control system is transformed into an interconnection of several input-to-state stable (ISS) subsystems. The ISS property of the closed-loop system is guaranteed by the recently developed cyclic-small-gain theorem. With an appropriately designed quantized controller, the output of the quantized control system can be steered to within a neighborhood of the origin with its size slightly larger than the quantization error near the origin.
- Input-to-state stability (ISS)
- Nonlinear systems
- Sector bound
- State quantization
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering