Some Techniques for Optimal Linear Regulator Design to Satisfy Conventional Figures of Merit.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1973
- Accession Number
- AD0777856
Entities
People
- Edward V. Mirmak
Organizations
- Air Force Institute of Technology