Robust H∞ disturbance minimization by duality
Systems & Control Letters
Robust and optimal control
Robust control theory in Hilbert space
Robust control theory in Hilbert space
Optimization by Vector Space Methods
Optimization by Vector Space Methods
Robust Control of Infinite Dimensional Systems: Frequency Domain Methods
Robust Control of Infinite Dimensional Systems: Frequency Domain Methods
Feedback Control Theory
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The optimal robust disturbance rejection problem plays an important role in feedback control theory. Here, its time-varying version is solved explicitly in terms of duality and operator theory. In particular, the optimum is shown to satisfy a time-varying allpass property. Moreover, optimal performance is given in terms of the norm of a bilinear form. The latter depends on a lower triangular projection and a multiplication operator defined on special versions of spaces of compact operators.