Experimental Results of Modeling Variable Order System Based on Discrete Fractional Variable Order State-Space Model

Author(s):  
Dominik Sierociuk ◽  
Michal Macias ◽  
Pawel Ziubinski
2020 ◽  
Vol 11 (3) ◽  
pp. 1928-1941
Author(s):  
Huifang Wang ◽  
Kuan Jiang ◽  
Mohammad Shahidehpour ◽  
Benteng He

2017 ◽  
Vol 69 ◽  
pp. 428-440 ◽  
Author(s):  
Clayton R. Marqui ◽  
Douglas D. Bueno ◽  
Luiz C.S. Goes ◽  
Paulo J.P. Gonçalves

Author(s):  
Yanting Zhao ◽  
Yiheng Wei ◽  
Yuquan Chen ◽  
Yong Wang

A typical phenomenon of the fractional order system is presented to describe the initial value problem from a brand-new perspective in this paper. Several simulation examples are given to introduce the named aberration phenomenon, which reflects the complexity and the importance of the initial value problem. Then, generalizations on the infinite dimensional property and the long memory property are proposed to reveal the nature of the phenomenon. As a result, the relationship between the pseudo state-space model and the infinite dimensional exact state-space model is demonstrated. It shows the inborn defects of the initial values of the fractional order system. Afterward, the pre-initial process and the initialization function are studied. Finally, specific methods to estimate exact state-space models and fit initialization functions are proposed.


2013 ◽  
Vol 823 ◽  
pp. 47-51
Author(s):  
Ling Liu

It is used by the piezoelectric ceramics sheet of positive-inverse piezoelectric effect in a set of copper alloy remanufacturing repair cantilever vibration system as the research object in the paper.A state space model have been generated on the cantilever beem mechanical structure of dynamics finite element modeling and degrees of freedom dynamic polycondensation.It is inhibited effectively when a cantilever beam subjected to external transient pulse disturbance caused by first order, two order and higher order system mode vibration,by using the linear quadratic optimal control of two state regulation for the detection of position feedback independent modal control on the basis of the state-space model. Software is used to simulate active vibration control effect.The simulation results show that the mode control inhibited have excellent effects for the repaired cantilever vibration, also analysed on the modal control parameters for the vibration suppression effect.


Sign in / Sign up

Export Citation Format

Share Document