PD-EIGENSTRUCTURE ASSIGNMENT FOR LINEAR TIME-VARYING SYSTEMS AND ITS APPLICATION TO MISSILE FLIGHT CONTROL

摘要

This work is concerned with the assignment of a desired PD-eigenstructure for linear time-varying systems. Despite its well-known limitations, gain scheduling control appeared to be a focus of the research efforts. Scheduling of frozen-time, frozen-state controllers for fast time-varying dynamics is known to be mathematically fallacious, and practically hazardous. Therefore, recent research efforts are being directed towards applying time-varying controllers. In this paper, ⅰ) we introduce a differential algebraic eigenvalue theory for linear time-varying systems, and then ⅱ) we propose a PD-eigenstructure assignment scheme via a differential Sylvester equation and a Command Generator Tracker for linear time-varying systems. A missile flight control application is presented to validate the proposed schemes.