Title: Analysis of the possibility for time-optimal control of the scanning system of the GREEN-WAKE's project lidar,
Abstract: The monograph represents analysis of the possibility for time-optimal control
of a prototype of an aircraft-mounted scanning-imaging system of a Light
Detection and Ranging based wake vortex detection system. The study is a part
of the research project "Demonstration of Light Detection and Ranging based
wake vortex detection system incorporating an atmospheric hazard map" or
GREEN-WAKE (Project ID 213254) of the European Union Seventh Framework Program
for Research and Technological Development. The scanning system comprises two
light mirror actuators. The study is decomposed into several group of problems.
The first and second groups consider the mathematical models of the scanning
system and the mirror actuators. The third group of problems deals with the
design of closed loop tracking control systems of both the large and small
mirror actuators. The control of each one system is synthesized as a near
time-optimal control of the precise linear model of the mirror actuator. The
control algorithms realize the state of the art method for synthesis of
time-optimal control of any order for a class of linear time-optimal control
problems developed in the author's dissertation. The last discovers and
theoretically proves new properties of a class of linear time-optimal control
problems. From the point of view of the control synthesis algorithms the main
advantage is that the time-optimal control is produced by a multistage
procedure within the class of problems but without the need of describing the
hyper-surfaces of switching over. The fourth group of problems considers
modeling the real scan picture but with inclusion also of the Coulomb's
friction model. The fifth group of problems investigates the ways of
improvement of the real scan picture. As a result an excellent repetition and
clearness of the scanning alongside with symmetry and matching the scan pattern
are seen.