### Optimization and Systems Theory Seminar

April 25, 1997, 14.00-15.00, Room D41

** Dr. Andrey Barabanov **

St. Petersburg State University

Russia

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Design of minimax regulators

A survey of recent achievements in L1-control theory and in the
polynomial approach of the H-infinity control theory is presented.

The standard L1 control problem of peak-to peak minimization was
generalized to processes with dependent values. This minimax analogue
of the stochastic stationary processes was called renewing processes.
Theory of these processes and the optimal control technique belongs to
the infinite-dimensional convex analysis in the l-infinity space.

A new spectral approach to the H-infinity control and estimation
problems is proposed. It contains direct operations with the
initial open loop transfer functions of the plant without
any preliminary parameterization and right or left factorization.
The method has a graphical interpretation as some geometrical
manipulations with the Bode plots of the open loop transfer functions.

Calendar of seminars

*Last update: April 25, 1997 by
Anders Forsgren,
andersf@math.kth.se.
*