Accession Number : ADA248580


Title :   Adaptive and Nonlinear Control


Descriptive Note : Final rept. 15 Aug 1988-14 Aug 1991


Corporate Author : AIR FORCE OFFICE OF SCIENTIFIC RESEARCH ARLINGTON VA BIOMIMETICS/BIOMATERIALS AND BIOINTERFACIAL SCIENCES


Personal Author(s) : Byrnes, Christopher I.


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA248580


Report Date : 29 FEB 1992


Pagination or Media Count : 29


Abstract : This final report surveys the research accomplishments of a three year effort on the adaptive stabilization and control of distributed parameter systems and on the development of a systematic feedback design methodology for nonlinear control systems. In both areas, significant advances have been made by the use of concepts and techniques from dynamical systems theory, developing enhancements of classical frequency domain ideas (e.g. transmission zeroes, root locus methods, etc.) for both classes of systems. Indeed, for DPS the rigorous development of a root locus theory for parabolic systems is one of our most significant achievements. For nonlinear control design, we have enjoyed three unanticipated breakthroughs. First, the development of a nonlinear enhancement of transmission zeroes enabled the solution of a major open problem in nonlinear control - the nonlinear regulator problem - for systems operating near an equilibrium. Second, the geometric techniques underlying the solution of the regulator problem have been successfully applied to obtain 'off-line' feedback laws which solve nonlinear optimal control problems via a nonlinear analogue of the Riccati equation. Third, these advances, combined with the work described in this report, have led successfully to the development of a nonlinear robust control theory analogous to the development of H robust control for linear systems. Nonlinear Control, Stabilization of Distributed Parameter Systems, Dynamical Systems.


Descriptors :   *ADAPTIVE CONTROL SYSTEMS , *FEEDBACK , *ALGORITHMS , *NONLINEAR SYSTEMS , METHODOLOGY , CONTROL SYSTEMS , PARAMETERS , THEORY , RICCATI EQUATION , REGULATORS , SURVEYS , WORK , CONTROL THEORY , EQUATIONS , FREQUENCY DOMAIN , LOCUS , CONTROL , LINEAR SYSTEMS , FREQUENCY , STABILIZATION , AUGMENTATION


Subject Categories : ELECTRICAL AND ELECTRONIC EQUIPMENT


Distribution Statement : APPROVED FOR PUBLIC RELEASE