Seminar Details
2009-10-13 (14.00) : Robust Optimal Control of Finite-time Distributed Parameter Systems
At Euler building
Organized by Mathematical Engineering
Speaker :
Richard
BRAATZ (University of Illinois at Urbana-Champaign)
Abstract :
Most products of high value such as in the pharmaceuticals, microelectronic, and nanotechnology industries are manufactured in a series of processing steps that operate over finite time.
These processes are usually distributed parameter systems in which tight control is required. Computationally efficient methods are proposed for the robust optimal control of finite-time distributed
parameter systems (DPS), in which robustness is ensured for either deterministic or stochastic parametric uncertainties. In the deterministic case, the effects of uncertainties on the states and product
quality are quantified by power series expansions combined with linear matrix inequality or structured singular value analysis. In the stochastic case, the effects of uncertainties are quantified by power
series or polynomial chaos expansions followed by Monte Carlo simulation. The robust performance analysis have been incorporated into fixed or model predictive control algorithms. The approaches
are illustrated for several applications problems.