On the Linear–Quadratic–Gaussian Control Strategy for Fractional-Order Systems

Fractal and Fractional

Grzegorz Bialic¹  Rafał Stanisławski¹ 

[1] Department of Electrical, Control and Computer Engineering, Opole University of Technology, ul. Prószkowska 76, 45-758 Opole, Poland;

关键词: LQG control;    fractional-order system;    control performance;   

DOI  :  10.3390/fractalfract6050248

来源: DOAJ

【 摘 要 】

In the paper, the Linear–Quadratic–Gaussian (LQG) control strategy in regulatory mode (disturbance attenuation, zero value of the reference signal) in single-loop control is used to stabilize the system equipped in a non-integer order plant. The influence of the optimal controller design sophistication on control quality in terms of output variance is examined. It has been shown that the optimal implementation length of fractional-order difference is relatively low (several dozen in considered examples). Therefore, further increasing the controller’s complexity in terms of approximation length does not improve the control performance. Furthermore, it is presented that, under bounded control signal variance, the optimal fractional order of the controller may be significantly different from the actual fractional order of the plant (in the examples, the difference is up to 0.66).

【 授权许可】

Unknown