Self-adaptive control method for fractional order system influenced by saturated nonlinear input
A fractional-order system, adaptive control technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of destroying the stability of the system and affecting the performance of the system, so as to improve the anti-interference effect and improve the system. The effect of stable performance
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[0058] The present invention will be further explained below in conjunction with the accompanying drawings and specific embodiments. It should be understood that the following specific embodiments are only used to illustrate the present invention and are not intended to limit the scope of the present invention.
[0059] Such as figure 1 As shown, a class of fractional-order system adaptive control method affected by saturated nonlinear input mainly includes the following steps:
[0060]In view of the characteristics of historical memory of actual physical objects or processes, the use of fractional calculus theory for system mathematical modeling has the advantage of high precision, especially for several systems with common characteristics, a class of fractional chain states with a specific structure is used Equations can achieve accurate description of the system;
[0061] Using the system state variables and the stability theory of fractional-order systems, an appropriate ...
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