Improved Stability Analysis and Gain-Scheduled
Controller Synthesis for Parameter-Dependent
Systems
Improved Stability Analysis and Gain-Scheduled
Controller Synthesis for Parameter-Dependent
Systems
F. Wang and V. Balakrishnan
In Proc. IEEE Conference on Decision and Control,
pages 1771-1776,
Tampa, Florida, December 1998
Abstract:
We present new algorithms for the robust
stability analysis and gain-scheduled controller synthesis
for linear systems affected by time-varying parametric
uncertainties. Sufficient conditions for robust stability
as well as conditions for the existence of a robustly
stabilizing gain-scheduled controller are given in terms
of a finite number of Linear Matrix Inequalities; explicit
formulae for constructing robustly stabilizing
gain-scheduled controllers are given in terms of the
feasible set of these LMIs. Our approach is proven to be
in general less conservative than existing methods for
stability analysis and gain-scheduled controller synthesis
for parameter-dependent linear systems; numerical examples
are presented to show that our approach offers significant
improvement in practice as well.
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