Passivation control of nonlinear systems with disturbances (Q2725357)
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scientific article; zbMATH DE number 1619170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Passivation control of nonlinear systems with disturbances |
scientific article; zbMATH DE number 1619170 |
Statements
23 April 2002
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passivity
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control
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Lyapunov function
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\(H_\infty\)-control
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stabilization
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nonlinear system
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Passivation control of nonlinear systems with disturbances (English)
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The paper considers stabilization and \(H_\infty\)-control of the nonlinear system NEWLINE\[NEWLINE\begin{aligned} \dot x & =f(x)+g_2(x)u(t) +g_1(x)w(t)\\ y &=h(x)+k(x)w(t) \end{aligned}NEWLINE\]NEWLINE which is passive in the sense that there exists \(V:\mathbb{R}^n \to\mathbb{R}_+\), \(V(0)=0\) such that NEWLINE\[NEWLINEV\bigl(x(t)\bigr)-V\bigl(x(0) \bigr)\leq \int^t_0y^*(\tau)w (\tau)d\tau.NEWLINE\]
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