\(H_2\) optimal controllers with measurement feedback for continuous-time systems — flexibility in closed-loop pole placement. (English) Zbl 1035.93503

Summary: For a general \(H_2\) optimal control problem, at first all \(H_2\) optimal measurement feedback controllers are characterized and parameterized, and then attention is focused on controllers with observer-based architecture. Both full-order and reduced-order observer-based \(H_2\) optimal controllers are characterized and parametrized. Also, systematic methods of designing them are presented. An important problem, coined as an \(H_2\) optimal control problem with simultaneous pole placement, is formulated and solved. That is, since in general there exist many \(H_2\) optimal measurement feedback controllers, utilizing such flexibility and freedom, we can solve the problem of simultaneously placing the closed-loop poles at desirable locations whenever possible while still preserving \(H_2\) optimality. All the design algorithms developed here are easily computer implementable.


93B55 Pole and zero placement problems
93B36 \(H^\infty\)-control
Full Text: DOI


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