Parametric insensitivity and controlled invariance

✍ Scribed by C. Bonivento; R. Guidorzi; G. Marro

• Book ID: 102992287
• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 686 KB
• Volume: 11
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(75)90087-4

✦ Synopsis

A recently developed geometrtc approach permtts a new characterizatton of the independence of state/output trajectorws of hnear time-mvartant multwartable systems on small parameter variations and leads to an efficwnt algortthm for synthestzmg structurally msensttwe control systems Summary--Parametric msensmvtty of state and output trajectories of linear systems is approached by employing an analysis method recently developed for imbedding a large class of structural properties usually expressed m terms of matrices mto a untried geometric framework Necessary and sufficient condmons useful for deterrmnmg maximal state and output subspaces, where parameter msenslUve trajectories range, are gwen Moreover, a procedure for the synthesis of controllers which &scnmlnate the trajectories according to thmr msensmwty to various parameters ~s proposed It ~s also shown that such controllers are consistent wRh completely arbitrary pole assignment * The matrices on both s~des of ( 24) are symmetric and posture defimte and the mequahty ,sm the sense that the left s~d¢ minus the right side xs at least posture semtdefimte