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Sensitivity analysis of the feedback synthesis problem. (English) Zbl 0878.93020

The authors present a complete sensitivity analysis of the output and the state feedback synthesis problems for linear multivariable systems, the pole assignment problem being studied in particular.
Local linear and nonlocal nonlinear perturbation bounds are derived using the Schur form of the closed-loop state matrix. The linear bounds are given in terms of condition numbers. The approach is based on a special technique of splitting operators which makes it possible to get perturbation bounds for basic problems in linear algebra and linear system theory.

MSC:

93B35 Sensitivity (robustness)
93B52 Feedback control
93B50 Synthesis problems
93C35 Multivariable systems, multidimensional control systems
93B55 Pole and zero placement problems
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