Electrical and Electronic Engineering - Research Publications

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On Extremum Seeking in Bioprocesses with Multivalued Cost Functions

Bastin, G ; Nesic, D ; Tan, Y ; Mareels, I (WILEY, 2009)

Finding optimal operating modes for bioprocesses has been, for a long time, a relevant issue in bioengineering. The problem is of special interest when it implies the simultaneous optimization of competing objectives. In this paper, we address the problem of finding optimal steady states that achieve the best tradeoff between yield and productivity by using nonmodel-based extremum-seeking control with semiglobal practical stability and convergence properties. A special attention is paid to processes with multiple steady states and multivalued cost functions.
On global extremum seeking in the presence of local extrema

Tan, Y ; Nesic, D ; Mareels, IMY ; Astolfi, A (PERGAMON-ELSEVIER SCIENCE LTD, 2009-01-01)

We propose a global extremum seeking scheme which can seek the global optimal value in the presence of local extrema. It is shown that the proposed global extremum seeking scheme can converge to an arbitrarily small neighborhood of the global extremum from an arbitrarily large set of initial conditions if sufficient conditions are satisfied. A simple example illustrates the effectiveness of the proposed scheme.