Robust output feedback stabilization of uncertain discrete systems (Q2704891)

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Robust output feedback stabilization of uncertain discrete systems
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    20 March 2001
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    robust stabilization
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    discrete-time systems
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    uncertainty
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    \(H^\infty\) control
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    perturbation
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    quadratic stabilization
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    output feedback compensator
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    Robust output feedback stabilization of uncertain discrete systems (English)
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    Given the uncertain dynamical system NEWLINE\[NEWLINEx(k+1)= [A+\Delta A(k)] x(k)+ [B+\Delta B(k)] u(k),NEWLINE\]NEWLINE NEWLINE\[NEWLINEy(k)= [C+\Delta C(k)] x(k),NEWLINE\]NEWLINE where \(\Delta A\), \(\Delta B\) and \(\Delta C\) are norm-bounded, the authors prove sufficient conditions ensuring the quadratic stabilization by using an output feedback compensator. For the construction of this compensator an equivalent linear time-invariant discrete \(H^\infty\) output feedback description was obtained and used.
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