Polynomially Static Output Feedback H∞ Control via Homogeneous Lyapunov Functions for Continuous- and Discrete-time Systems
碩士 === 國立中央大學 === 機械工程學系 === 106 === In this thesis, we investigate H∞ control problem for both continuous- and discrete-time polynomial fuzzy systems, and to design static output feed- back controllers. The stabilization of the underlying systems can be proved via homogeneous Lyapunov method. This...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2018
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| Online Access: | http://ndltd.ncl.edu.tw/handle/p6x9zr |
| Summary: | 碩士 === 國立中央大學 === 機械工程學系 === 106 === In this thesis, we investigate H∞ control problem for both continuous- and discrete-time polynomial fuzzy systems, and to design static output feed- back controllers. The stabilization of the underlying systems can be proved via homogeneous Lyapunov method. This thesis studies static output feed- back control that is more appropriate in practical than state feedback con- trol. In continuous-time systems, Euler’s homogeneous polynomial theorem is used to formulate a Lyapunov function. It has the following form
V (x) = xT P (x)x = 1 xT ∇xxV (x)x g(g − 1)
In discrete-time systems, the Lyapunov function is formulated by
V ( x ) = x T P − 1 ( x ̃ ) x
where x ̃ are part of x that are not directly affected by the control input. This restriction is to avoid problems when doing simulation. The details will be described later.
In numerical simulations, examples are solved via the sum-of-squares approach.
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