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:

1973-12-01

Pagination or Media Count:

109.0

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. Leakes 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