Analysis of the possibility for time-optimal control of the scanning system of the GREEN-WAKE's project lidar

TL;DR

This paper analyzes the potential for time-optimal control of a prototype lidar scanning system used for wake vortex detection, developing control algorithms and modeling techniques to enhance scanning precision and efficiency.

Contribution

It introduces a novel multistage control synthesis method for linear time-optimal control problems applied to mirror actuators in lidar systems.

Findings

Control algorithms achieve near time-optimal performance.

Modeling includes Coulomb's friction for realistic scan simulation.

Enhanced scan pattern accuracy and repeatability.

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.