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Journal Information-measuring and Control Systems №1 for 2009 г.
Article in number:
Minimization of an average quadratic mistake and square-law Integrated estimation of transients of watching (keeping up) systems with the help of the first derivative of specifying casual influence
Keywords:
Authors:
G. N. Arseniev, A. V. Kuzimovich
Abstract:
As a result of called on studies is installed that introduction to watching system with first-order astatizm first derived assigning influences by means of open compensation relationship with differentiating sidebar allows greatly to reduce average quadratic mistake and simultaneously vastly reduce the square-law integral estimation on significant interval of the system gain factor change. At further increase AQM of the combined system continues to decrease, however thus the square-law integrated estimation starts to grow more intensively and even to surpass for the account "speedups" transient of the first derivative of specifying influence. At achievement of minimum AQM the square-law integrated estimation reaches (achieves) significant size. Therefore and in the combined system at a choice , as well as in system with a principle of management on a deviation (rejection), it is necessary to accept the conciliatory proposal at which would be taken into account both requirements to value AQM, and parameters of quality of transient (a square-law integrated estimation). However the specified contradiction in the combined system is not such "rigid" obstacle in a way of minimization AQM, as in system with management on a deviation (rejection) as in the combined system the main effect of reduction AQM is reached (achieved) not due to increase , and with the help open communications (connections) through which in system the first derivative of specifying influence moves. Therefore increase in the combined system is not the basic, and the additional means of minimization AQM giving insignificant, in comparison with introduction in system of the first derivative of specifying influence, reduction AQM