Sensitivity reduction in linear systems

✍ Scribed by Y. Hontoir; J.B. Cruz Jr.

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 405 KB
• Volume: 8
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(72)90103-3

✦ Synopsis

A new measure of sensitivity with respect to initial conditmns in linear multi-input time-varying systems is defined. Remarkable amongst its properties are its nondependence on open-loop control and its invariance under a regular linear time-invanant transformation of the states. A system is shown to be less sensitive according to the new measure when driven by a feedback control, optimal ruth respect to a quadratic performance index, than when driven by any open-loop control. A relation between the control cost and the sensitivity measure ts established, which aids in examining trade-off solutions in design procedures. An example illustrates the definition and the results.