Filtered Repetitive Control with Nonlinear Systems by Quan Quan & Kai-Yuan Cai

Author:Quan Quan & Kai-Yuan Cai
Language: eng
Format: epub
ISBN: 9789811514548
Publisher: Springer Singapore

5.2.1 Problem Formulation

Consider the following nonlinear system:

(5.25)

where is a constant matrix, and are constant matrices, function belongs to the sector The vector is the state vector, is the output, is the control, and is an unknown bounded T-periodic disturbance. The objective here is to design a tracking controller such that , where

Example 5.2

A common input-related nonlinearity is a class of saturation functions, which can be expressed as

where The saturation function belongs to the sector .

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