H∞ design with pole placement constraints: An LMI approach

  • Chilali M
  • Gahinet P
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This paper addresses the design of state- or output-feedback
H∞ controllers that satisfy additional constraints on
the closed-loop pole location. Sufficient conditions for feasibility are
derived for a general class of convex regions of the complex plane.
These conditions are expressed in terms of linear matrix inequalities
(LMIs), and the authors' formulation is therefore numerically tractable
via LMI optimization. In the state-feedback case, mixed H2/H
∞ synthesis with regional pole placement is also
discussed. Finally, the validity and applicability of this approach are
illustrated by a benchmark example

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  • Mahmoud Chilali

  • Pascal Gahinet

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