Approximate evaluation method for uncertain time-delay on basis of H-infinity principle and application of approximate evaluation method

Abstract

The invention discloses an approximate evaluation method for uncertain time-delay on the basis of an H-infinity principle. The approximate evaluation method comprises the following steps: constructinga mathematical model of stable performance indexes of a feedback control system on the basis of the H-infinity principle and a mathematical model of a feedback control system with uncertain time-delay; analyzing influence of the uncertain time-delay to the stable performance indexes of the feedback control system, and scaling the mathematical model of the stable performance indexes into a feedback control system stabilizing condition with time delay correlation term; and based on a Pade approximation method, constructing a rational approximate function related to the time delay correlation term, setting a target constraining condition for the rational approximate function capable of replacing the time delay correlation term, and replacing the time delay correlation term by using the rational approximate function which meets a target constraint condition so as to obtain the stable performance indexes of the feedback control system. By the method, a rational estimation function which isefficient and has high degree of fitting can be provided; and the method can be widely applied to the feedback control system with uncertain time-delay and engineering related research problems.

Description

technical field [0001] Aiming at the common uncertainty time-lag in the feedback control system and its influence on the robust stability and robust performance of the system, the present invention discloses an uncertainty time-lag method based on the principle of H-infinity (that is, H-∞) Approximate estimation methods, involving robust performance, Padre approximation, H-∞ optimization and other technical methods. Background technique [0002] In industrial production practice, input and output often do not occur simultaneously. On the contrary, in most engineering systems, it usually takes a certain amount of time for an input quantity to reach another place from one place to another, as small as invisible signals and energy, as large as tens of thousands of goods and products, so in the process of input and output There is always varying degrees of time lag. There are various reasons for time lag: such as physical transmission, signal transmission, time-consuming calcu...

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Problems solved by technology

Among them, the Euler approximation method and the backward approximation method respectively expand the numerator or denominator in exponential progression, the structure is relatively simple, but the fitting accuracy is poor; Complex, but high fitting accuracy

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