Multiobject Robust Control of Nonlinear Systems via State Dependent Coefficient Representations and Applications

Abstract

The public nponing burden for iMs collection of information is estimated to average 1 hour per response, including i gnlMririg and maintaining the data needed, and completing and reviewing the collection of information. Send comment of infonrvation, including suggestions for reducing the burden, to Department of Defense, Washington Headquar 10704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware subject to any penalty for failing to comply with a collection of Information if it does not display a currently valid 0MB cc PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. * • 'AFRL-SR-AR-TR-03- 0^0■or rts nBPOfKT DAVL (DD-MM-YYYY) REPORT TYPE Final Report DATES COVERED (From -To)Dec 1.99-May31, 03 TITLE AND SUBTITLE Multi-objective Robust Control of Nonlinear Systems via State Dependent Coefficient Representations and Applications 5a. CONTRACT NUMBER5b. GRANT NUMBER F49620-00-1-0020 5c. PROGRAM ELEMENT NUMBER AUTHOR(S)Dr. Mario Sznaier 5d. PROJECT NUMBER 5e. TASK NUMBER 5f. WORK UNIT NUMBER reRFORMING ORGANIZATION NAME(S) AND ADORESS(ES) Department of Electrical EngineeringThe Pennsylvania State University University Park, PA 16802 PERFORMING ORGANIZATION REPORT NUMBER SPONSORING/MONITORING AGENCY NAME{S) AND ADDRESS(ES) Etepartment of the Air Force 4015 Wilson Blvd. Air Force Office of Scientific ResearchArlington, VA 22203-1954 SPONSOR/MONITOR'S ACRONYM(S) SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release, distribution unlimited. The past few years have seen a significant change in the roles and requirements of the U.S. Air Force. On the one hand, the well defiiKd global threat posed by a few conventional and nuclear forces has been replaced by multiple, localized potential threats that in addition to the usual conventional and nuclear ones, also potentially involve chemical and biological weapons. In addition, die USAF role has expaiuled to include operations other than warfare, such as peacekeeping and humanitarian aid. Finally, limited resources mandate that these roles must he achieved in a cost-effective way. This scenario translates into a requirement for highly versatile systems, capable of delivering near optimal performance under a wide range of conditions. In tills research we have developed a framework, based on the combination of Receding Horizon, Contro Ly^unov Functions and Operator Interpolation Theory techniques, for systematically designing controllers capable of meeting thesi challenges. These controllers offer the following advantages over hitherto available design methods: oThe ability to deliver near optimal performance while keeping the computational complexity compatible with an on-line implementation SUPPLEMENTARY NOTESDODAAD DISTRIBUTION STATEMENT A Approved for Public Release Distribution UnlimitedAbstract The past few years have seen a significant change in the roles and requirements of the U.S. Air Force. On one hand, the well defined global threat posed by a few conventional and nuc...