Some Applications of Set-Theoretic Methods in Analysis, Estimation and Control of Nonlinear Systems
Event details
| Date | 17.09.2015 |
| Hour | 16:00 › 17:00 |
| Speaker |
Benoît Chachuat, ICL Bio: My research interests are in the general area of Process Systems Engineering (PSE), with emphasis on global optimization, optimization-based process control, and numerical computation. My primary research objective is to develop new methods, concepts and tools for the fast and reliable optimization of complex process systems. Applications in the field of process design and operations aim to develop safe, environmentally and economically sustainable (bio)chemical processes, including micro power generation, integrated biotechnological processes for bioenergy production and waste treatment. Other applications are in the field of signal transduction in systems biology. |
| Location | |
| Category | Conferences - Seminars |
Many engineering design and control problems can be formulated naturally in a set-theoretic framework. A number of key set-theoretic concepts were proposed in the early 1970s, but their systematic application was not possible until enough computational capability became widely available. Today, many such methods and tools are available for the estimation and control of linear systems - witness the popularity of Matlab's multi-parametric toolbox - but it is less so for nonlinear systems. In this presentation, we give an overview of recent developments in set-theoretic methods for nonlinear systems in our research group. Central to these approaches is the ability to compute tight enclosures of the range of multivariate systems, e.g. using ellipsoidal calculus or higher-order inclusion techniques based on multivariate polynomials, as well as the ability to propagate these enclosures through time for bounding dynamic systems. We illustrate these developments with a range of applications, including the determination of all equilibrium points and bifurcations in a given domain; the reachability analysis of nonlinear ODE or DAE systems; and the solution of set-membership parameter estimation problems.
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