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Some New Results on the Discrete-Time Riccati Equation and Their Use in the Design of Optimal Regulators and Observer-Estimators,
Doctor thesis 1 Feb-31 May 84,
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
Pagination or Media Count:
Some new results on the discrete-time Riccati Equation and their use in the design of optimal regulators and observer-estimators are presented. Special attention is given to problems unique to the discrete-time case the possibility of a singular control-effort weighting matrix in the case of the regulator and noise-free measurements in the case of the observer-estimator. The solution to this singular case leads to results on the eigenstructure of the closed-loop system matrix and to its relationship with recent developments in linear system theory, and in particular with the output deadbeat response. In the case of the regulator, design procedures based on the selection of weights on the states in the LQ cost criterion are presented. In the case of the observer-estimator, a full-state loop transfer recovery procedure is presented. Procedures for both the regulator and observer-estimator design are applied to the design of a stability augmentation system SAS for the F-4 aircraft. Keywords include Optimal and stochastic control, Observer-estimators, Eigenstructure assignment, Invariant zeros, Loop transfer recovery, Output deadbeat response.
APPROVED FOR PUBLIC RELEASE