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A nonlinear discrete-time system is approximated by N subsystems described by pulse transfer functions. The approximation error between the nonlinear discrete-time system and the fuzzy linear pulse transfer function system is represented by the additive nonlinear time-varying uncertainties in every subsystem. First, a dead-beat to the switching surface for every ideal subsystem is designed. If part of the approximation error can be modeled as a known pulse transfer function for output disturbance, a controller based on the "internal model principle" is given to reject the corresponding disturbance. It is called "rejected robustness". Then the H∞-norm of the transfer function between switching surface and the remaining output disturbance, the interaction caused by the other subsystem, is minimized. It is the so-called "optimal robustness" for robust control. Although the effect of the remaining output disturbance and the interaction is attenuated, a better performance can be reinforced by a switching control which is based on the Lyapunov redesign. This is the third step for the robustness design of control, which is called "reinforced robustness"
Fuzzy Systems, 2001. The 10th IEEE International Conference on (Volume:1 )
Date of Conference: 2001