Submitted to the 39th IEEE Conference on Decision and Control, 2000.
A State-Space Algorithm for the Simultaneous Optimisation of
Performance Weights and Controllers in mu-Synthesis
Alexander Lanzon and Michael Cantoni
Abstract
A conceptually new approach to the mu-synthesis robust performance
problem is proposed in this paper. Performance weights, optimised with
respect to a suitable cost function which captures our desired
performance, are synthesised simultaneously with an internally
stabilising controller guaranteeing robust performance. The designer
is only required to specify the plant set and an optimisation
directionality. This directionality only appears in the cost function
and reflects the desired closed-loop properties in particular
frequency regions. Correspondingly, this approach greatly simplifies
the often long and tedious process of designing ``good'' performance
weights directly.