Accession Number : AD0777856

Title :   Some Techniques for Optimal Linear Regulator Design to Satisfy Conventional Figures of Merit.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Personal Author(s) : Mirmak,Edward V.

Report Date : DEC 1973

Pagination or Media Count : 109

Abstract : The time-invariant optimal linear regulator is analyzed for single-input-single-output systems. A correlation is made between the elements of a weighting vector and the conventional figures of merit, such as magnitude of peak overshoot and time to peak overshoot. Nomograms are developed for third and fourth order all-pole plants. Leake's method of Bode plot analysis is extended to a general weighting vector, resulting in expressions for minimum gain for which nomograms are valid. An algorithm is presented for obtaining root-square-locus plots for general quadratic weighting matrices. A sub-optimal design is achieved for an aircraft pitch-control system, using state-variable feedback with constant coefficients. (Author)

Descriptors :   *Regulators, *Control theory, Linear systems, Transfer functions, Matrices(Mathematics), Kalman filtering, Computer programs, Flight control systems, Theses, FORTRAN

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE