Set-based methods in estimation and control

Organizers and presenters:

Boris Houska, Mario Eduardo Villanueva (ShanghaiTech University, China)

Radoslav Paulen (Slovak University of Technology (STU) in Bratislava, Slovakia)

Benoît Chachuat (Imperial College London, United Kingdom)


Half a day.


Problems in estimation and control can often be formulated, analyzed and/or solved using methods which exploit the properties of properly chosen or constructed sets. For example, constraints and uncertainties–as well as the effects of the latter on a control system–can naturally be described using sets. Likewise, estimating the response of a system to disturbances, as well as the inherent error of the estimation algorithm can also be described within a set-based formalism. By looking at concepts like invariance, bounded-error estimation, uncertainty propagation, and robust control, the ubiquity of set theoretic methods in the control and estimation community is undeniable.

The goal of the proposed workshop is to provide a tutorial on the use set-based methods in estimation and control.  We first present the basic principles of computer representable sets and their arithmetics. This is followed by recent developments in set-theoretic methods for parameter/state estimation and control. The workshop finishes with a discussion of applications and future developments.

The workshop will address topics like:

·         Set based methods in parameter estimation

·         Set based methods in global optimal control

·         Set based methods in robust MPC

Due to tutorial nature of the workshop, the prerequisites for attending the workshop cover just basics of convex analysis, optimization and process control.


30 min            Introduction to set-based computing – Motivation, models and arithmetics (Boris Houska, ShanghaiTech University)

30 min            Uncertainty propagation through dynamic systems (Benoît Chachuat, Imperial College London/Mario Eduardo Villanueva, ShanghaiTech University)

40 min            Set based methods in robust nonlinear model predictive control (Mario Eduardo Villanueva, ShanghaiTech University)

15 min            Coffee break

40 min            Nonlinear dynamic set-based estimation using Taylor-model arithmetics (Radoslav Paulen, STU in Bratislava)

40 min            Model-based design of experiments for set-based estimation (Radoslav Paulen, STU in Bratislava)

40 min            Set based methods in global optimal control (Boris Houska, ShanghaiTech University)

20 min            Discussion on open challenges, end of workshop (all)