Stability and Control of Nonlinear Time-varying Systems by Shuli Guo & Lina Han

Author:Shuli Guo & Lina Han
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

Rule 2: If is about 0.04 m

Then

where E, , and are known, and they represent the structural information of uncertain parameters and .

System (5.35) can be inferred as

(5.36)

where , and

It is assumed that we have known , , and . Furthermore, since we consider the lower coil functions in SISO MagLev system, the unknown parameters in the system may be defined as , , , and .

And the membership functions used in this fuzzy model for Rule 1 and Rule 2 are , .

First, we design the fuzzy observer according to Theorem 5.2, and we obtain , , which satisfies (5.10).

Second, the fuzzy controller is designed as , .

We have

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