Minimal order observers for estimating linear functions of a state vector
نویسندگان
چکیده
منابع مشابه
Minimal Order Observers for Estimating Linear Functions of a State Vector
Abstmd—Tlds paper studies the ssecewary and sufficient eondftfons for a ptb-order observer to observe linear frnsctfons of the states of a linear dynandcaf system. Tbe conditions are a set of mrdtivarissble polynomial equations wbiefr must be satisfied for some vsriable set in order for a pth-order observer to exist. It is possible to test for the existence of srrch a varfable set bs a ffrdte n...
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A new method for designing a minimal order perfect functional observers for singular continuous-time linear systems is proposed. Necessary and sufficient conditions for the existence of the minimal order perfect functional observer are established. A procedure for computation of matrices of the observers is derived and illustrated by a numerical example. Key-Words: Design, existence, minimal or...
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A full-order observer accomplishes its purpose by calculating the “residual,” which is the difference between the measured output and the corresponding quantity generated by a model of S synthesized in the observer. The residual, multiplied by a “gain” is used as an input to a model of S . If the gain is chosen appropriately, the observer Ŝ will be an asymptotically stable dynamic system and th...
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Because the number of state variables in a reduced-order observer is less than the order n of S by the number m of (independent) observations, the reduced-order observer is parsimonious, often a desirable engineering quality. But, in addition, a reduced-order observer may have better properties than a full-order observer, especially with regard to robustness of a control system which uses an ob...
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A constructive procedure to design a single linear functional observer for a time-invariant linear system is given. The proposed procedure is simple and is not based on the solution of a Sylvester equation or on the use of canonical state space forms. Both stable observers or fixed poles observers problems are considered for minimality.
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 1975
ISSN: 0018-9286
DOI: 10.1109/tac.1975.1101054