Stabilization of compact sets for passive affine nonlinear systems (Q5926272)
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scientific article; zbMATH DE number 1570855
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stabilization of compact sets for passive affine nonlinear systems |
scientific article; zbMATH DE number 1570855 |
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Stabilization of compact sets for passive affine nonlinear systems (English)
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28 February 2001
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affine system
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stabilization to sets
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nonlinear system
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0.91451705
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0.90423244
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0.8920034
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0.89018023
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0.8901452
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0.8891605
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0.88582224
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0.88454205
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0.88322586
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The author considers and solves the problem of finding a state feedback controller for the nonlinear system NEWLINE\[NEWLINE\begin{aligned} \dot x &= f(x)+ g(x) u(t),\\ y &= h_1(x)= [L_gV(x)]^T,\\ z &= h_2(x),\end{aligned}NEWLINE\]NEWLINE where \(V(x)= {1\over 2}|h_2(x)|^2\). The goal of the control is to ensure \(\lim_{t\to\infty} V(x(t))= 0\) along the trajectories of the closed loop system with the designed control \(u= -\psi(h_1(x))\).
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