• Dr. Guoming (George) Zhu
  • Michigan State University
  • 118C Surge Building
  • 4:00 p.m.
  • Faculty Host: Dr. Cornel Sultan

The output covariance constraint (OCC) problem will be introduced with both deterministic and stochastic interpretations. A control design algorithm with guaranteed convergence will also be presented with application to the pointing control of the Hubble Space Telescope. Note that with the scalar output covariance constraints, the solution of the OCC problem also provides an optimal control for the constrained H2 problem. Next, the talk will address the output H2 weight tuning for the mixed H2/H∞ LPV (linear parameter variation) control problem for polytopic discrete time LPV systems. By properly selecting the output H2 weighting, multiple performance constraints on the output H2 norms are met while minimizing the H2 control effort. Normally, the output H2 weighting is selected in an ad hoc manner for the mixed H2/H∞ LPV control problem. The iterative algorithm provides a way to find the output H2 weighting such that the designed mixed H2/H∞ LPV controller satisfies the performance constraints. An illustrative example will be presented to demonstrate the effectiveness of the iterative algorithm.