Some Techniques for Optimal Linear Regulator Design to Satisfy Conventional Figures of Merit.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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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
- Theoretical Mathematics