Suboptimal linear regulators with incomplete state feedback

A method of designing linear regulators with incomplete state feedback has been suggested by Rekasius [1]. Ramar and Ramaswami [2] have pointed out the difficulties encountered in applying this method. This correspondence presents, briefly, an alternative approach to this problem in two cases of a)...

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Published in:IEEE transactions on automatic control 1970-06, Vol.15 (3), p.384-386
Main Author: Dabke, K.
Format: Article
Language:English
Subjects:
Cost function
Covariance matrix
Design methodology
Equations
Optimal control
Polynomials
Regulators
State feedback
Statistics
Upper bound
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description A method of designing linear regulators with incomplete state feedback has been suggested by Rekasius [1]. Ramar and Ramaswami [2] have pointed out the difficulties encountered in applying this method. This correspondence presents, briefly, an alternative approach to this problem in two cases of a) unknown initial state and b) known initial state statistics, viz., mean and covariance matrix. Solution for the control law utilizing only the available states is obtained by minimizing an upper bound on the ratio of the suboptimal to optimal cost in case a). In case b) the expected value of the suboptimal cost is minimized. It is assumed that the available states are sufficient to make the feedback system stable. The solution is in the form of necessary conditions and results in a set of simultaneous polynomial equations, but the solution to the optimal control problem is not required.
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subjects Cost function
Covariance matrix
Design methodology
Equations
Optimal control
Polynomials
Regulators
State feedback
Statistics
Upper bound
title Suboptimal linear regulators with incomplete state feedback
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