Robustness analysis and gain-scheduled controller
synthesis for rational parameter-dependent uncertain
systems using parameter-dependent Lyapunov
functions
Robustness analysis and gain-scheduled controller
synthesis for rational parameter-dependent uncertain
systems using parameter-dependent Lyapunov
functions
F. Wang and V. Balakrishnan
In Proc. IEEE Conference on Decision and Control,
pages 281-286, Phoenix, Arizona, December 1999
Abstract:
For linear systems with a rational dependence on some
unknown but measurable time-varying parameters, we use
parameter-dependent Lyapunov functions to devise algorithms
for robust stability analysis and gain-scheduled controller
synthesis. A sufficient condition for the existence of a
parameter-dependent Lyapunov function that proves robust
stability is given in terms of a finite number of linear
matrix inequalities. This sufficient condition is then used
to solve the gain-scheduled stabilizing controller synthesis
problem.
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