Shared Nonlinear Control in Internet-Based Remote Stabilization

Abstract

This paper proposes shared control in Internet-based remote stabilization for nonlinear systems. This paper consists of two parts. The first part addresses the basis of Internet-based remote stabilization for a single nonlinear system with time-varying delay. We derive a delay dependent sufficient condition for ensuring the stability of Takagi-Sugeno (T-S) fuzzy models with time-varying delays that are globally (or semi-globally at least) equivalent to nonlinear systems with network time-delays. A feature of the derived condition is to be able to obtain the maximum time-delay for ensuring the stability of Internet-based remote control system for given feedback gains. The second part presents shared control of plural nonlinear systems via a single controller. To design a (common) shared controller to stabilize plural nonlinear systems simultaneously, we derive also a shared control version of the stability condition for T-S fuzzy models with time-varying delays. Design examples demonstrate the utility of this proposed design approach