On numerical optimization design of continuous-time feedback type quantizer for networked control systems

This paper focuses on analysis and synthesis methods of continuous-time dynamic quantizers for networked control systems. Our aim is to propose a numerical optimization design method of multiple (decentralized) quantizers such that a given linear system is optimally approximated by the given linear system with the multiple quantizers. Our method is based on the invariant set analysis and the LMI technique. Also, we clarify that our proposed method naturally extends to multiobjective control problems. Finally, it is pointed out that the proposed method is helpful through a numerical example.