Current research interests
Expressions of interest are invited from prospective graduate students for research supervision in the following areas:
We consider the classic Moore eigenstructure assignment algorithm and adapt it for problems
of optimal pole placement. We introduce an unconstrained
nonlinear optimization algorithm to obtain a gain matrix that
delivers robust pole placement or minimum gain.
Pole placement with State Feedback
Co-workers: Dr Thang Nguyen (University of Melbourne), Amit Pandey ( University of Auckland)
Iterative Methods for solving Sylvester Equations
We consider the convergence performance of several
iterative algorithms for
the solution of coupled matrix equations. A stiffness property
is given to describe equations where these algorithms converge
only very slowly, and a stochastic analysis shows that very
slow convergence is a generic feature of these algorithms.
Lastly we consider ways to improve the convergence speed for such stiff
Co-workers: Dr Ying Tan (University of Melbourne)
- Schmid, R. T. Nguyen and A. Pandey, Optimal Pole placement with Moore's algorithm,
1st IEEE Australian Control conference, Melbourne, Australia, November 2011.
- Schmid, R. and Y. Tan, Performance analysis of iterative algorithms for Sylvester
equations, 8th IEEE International Conference on Control and Automation, Xiamen, China, June, 2010.