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Parameter-insensitive disturbance rejection for infinite-dimensional systems. (English) Zbl 0897.93035

Given the infinite-dimensional system \(\dot x(t)= Ax(t)+ Bu(t)+ K\xi(t)\), \(y(t)= Cx(t)\), \(z(t)= Dx(t)\), with \(A,B,K\), and \(D\) unknown convex combinations of known operators, i.e., \(A=\alpha A_1+ (1-\alpha) A_2\), \(B=\beta B_1+ (1-\beta) B_2\), etc. The authors investigate whether there exists a controller such that the signal \(\xi\) has no influence on \(z\) for all possible values of \(A,B,K\), and \(D\). As class of controllers they consider state and output feedback. The approach that the authors take is to rewrite the problem into a geometric control problem. That is, the problem is formulated in subspaces with certain properties.
Reviewer: H.Zwart (Enschede)

MSC:

93C25 Control/observation systems in abstract spaces
93B27 Geometric methods
93C73 Perturbations in control/observation systems
93B35 Sensitivity (robustness)
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