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Feedback design for regularizing descriptor systems. (English) Zbl 0944.65082
The authors consider linear time invariant descriptor control systems in the form $$Ex'- Ax- Bu= 0$$, $$y= Cx$$. Numerical algorithms are developed for computing proportional and derivative output feedback controls, $$u= Fy+ Gy'+v$$, which regularize the original system. That is, the feedback reduces the system’s index to at most one.

##### MSC:
 65K10 Numerical optimization and variational techniques 93B15 Realizations from input-output data 93C05 Linear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations 93B52 Feedback control
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