### Optimization and Systems Theory Seminar

Tuesday, June 10, 1997, 11.00-12.00, Room 3721, Lindstedtsvägen 25

** Dr. George Meyer **

NASA Ames Research Center

Moffet Field, CA

USA

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Guidance of nonlinear systems (first seminar)

The paper describes a method for guiding a dynamic system through a
given set of points. The paradigm is a fully automatic aircraft
subject to air traffic control (ATC). The ATC provides a sequence of
way points through which the aircraft trajectory must pass. The way
points typically specify time, position, and velocity. The guidance
problem is to synthesize a system state trajectory which satisfies
both the ATC and aircraft constraints. Complications arise because the
controlled process is multi-dimensional, multi-axis, nonlinear, highly
coupled, and the state space is not flat. In addition, there is a
multitude of possible operating modes, which may number in the
hundreds. Each such mode defines a distinct state space model of the
process by specifying the state space coordinatization, the partition
of the controls into active controls and configuration controls, and
the output map. Furthermore, mode transitions must be smooth.
The guidance algorithm is based on the inversion of the pure feedback
approximations, which is followed by iterative corrections for the
effects of zero dynamics. The paper describes the structure and
modules of the algorithm, and the performance is illustrated by
several example aircraft maneuvers. The first lecture will introduce
the subject and formulate the problem. A possible solution and
applications will be described in the second lecture.

Calendar of seminars

*Last update: June 2, 1997 by
Anders Forsgren,
andersf@math.kth.se.
*