H2 optimal controllers with measurement feedback for continuous-time systems - Flexibility in closed-loop pole placement

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 as well as reduced-order observer-based H"2 optimal controllers are characterized and parameterized. 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.

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