Synthesis of fixed-structure controllers via numerical optimization
Synthesis of fixed-structure controllers via numerical optimization
L. El Ghaoui and V. Balakrishnan
Proc. IEEE Conf. on Decision and Control, pages 2678-2683, Orlando, Florida,
December 1994
Abstract:
We propose an iterative algorithm for designing
linear time-invariant controllers with some prespecified
structure. The iterations require the solution of
optimization problems based on Linear Matrix Inequalities,
in which either the Lyapunov function proving a certain
property or the controller to be designed is alternately
regarded as the optimization variable (while the other is
fixed). A number of structure constraints on the controller
(reduced-order, decentralized, etc) can be addressed using
this technique, which also extends to plants with
nonlinearities or uncertainties.
The algorithm is heuristic in nature, and is not guaranteed
to converge globally. However it provides a locally optimal
solution which depends on the initialization of the
algorithm, and serves as a useful design tool.
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