Current research interests

Expressions of interest are invited from prospective graduate students for research supervision in the following areas:

   Pole placement with State Feedback

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.

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 equations.

Co-workers: Dr Ying Tan (University of Melbourne)



Conference Papers

  1. Schmid, R. T. Nguyen and A. Pandey, Optimal Pole placement with Moore's algorithm, 1st IEEE Australian Control conference, Melbourne, Australia, November 2011.
  2. 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.