Observer and Controller Design of Fuzzy Systems via Homogeneous Euler's Method
碩士 === 國立中央大學 === 機械工程學系 === 103 === It's not easy to separate the synthesis of observer and controller due to their dependability. The main contribution in this thesis is non-quadratic stability of continuous fuzzy systems, which is modeled by Taylor series method. And we can solve the inequat...
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| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
2015
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| Online Access: | http://ndltd.ncl.edu.tw/handle/24447338896064258153 |
| Summary: | 碩士 === 國立中央大學 === 機械工程學系 === 103 === It's not easy to separate the synthesis of observer and controller
due to their dependability. The main contribution in this thesis is
non-quadratic stability of continuous fuzzy systems, which is modeled
by Taylor series method. And we can solve the inequations derived
from non-quadratic Lyapunov function and its time gradient. The
form of extension from the state dependent Riccati inequalities to
non-quadratic Lyapunov function is
V(x,e)=[x e][adj(Q(x)) 0;0 U(e)][x;e].
To overcome the dierential terms of Q(x) derived from time gradient
of V(x,e), we introduce Euler's homogeneous polynomial theorem
to derive the SOS condition and solve for the observer and controller
with sum-of-squares approach.
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