Journal of Shandong University(Engineering Science) ›› 2020, Vol. 50 ›› Issue (1): 35-48.doi: 10.6040/j.issn.1672-3961.0.2019.039

• Control Science & Engineering • Previous Articles     Next Articles

Construction expansion online for a class of nonaffine nonlinear large-scale systems

Xiaojie CAO(),Xiaohua LI*(),Hui LIU   

  1. School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China
  • Received:2019-01-23 Online:2020-02-20 Published:2020-02-14
  • Contact: Xiaohua LI E-mail:1085515524@qq.com;lixiaohua6412@163.com
  • Supported by:
    辽宁省科技厅自然科学基金(20180550319)

Abstract:

The problem of construction expansion online was studied for a class of nonaffine nonlinear interconnected large-scale systems. An adaptive neural decentralized connective stabilization method was proposed for expansion online of large-scale systems based on backstepping technique. By using neural network adaptive technique, the decentralized controller of the newly added subsystem was designed under the condition that the decentralized control laws and adaptive laws of the original system were kept to be unchanged. The interconnection parts caused the a new subsystem were dealt with in the controller of the new subsystem. An adaptive decentralized connective stabilization controller for the newly added subsystem was obtained. The controller could ensure that all the signals both in the newly added closed-loop nonaffine subsystem and the resultant expanded closed-loop large-scale system were uniformly ultimately connective bounded. The simulation results were given to verify the effectiveness of the proposed control method.

Key words: nonaffine large-scale systems, construction expansion online, neural network adaptive technique, decentralized connective control, backstepping technique

CLC Number: 

  • TP273

Fig.1

Two inverted pendulums connected by a spring"

Fig.2

Simulation results of y1, y2 of the double-invertedpendulum system"

Fig.3

Simulation results of state trajectories x1, 2, x2, 2 of the double-inverted pendulum system"

Fig.4

Simulation results of adaptive parameters ${\hat \theta _1}$, ${\hat \theta _2}$ of the double-inverted pendulum system"

Fig.5

Simulation results of the control inputs u1, u2 of the double-inverted pendulum system"

Fig.6

Simulation results of y1, y2, y3 of the expanded inverted pendulum system"

Fig.7

Simulation results of state trajectories x1, 2, x2, 2, x3, 2 of the expanded inverted pendulum system"

Fig.8

Simulation results of adaptive parameters ${\hat \theta _1}$, ${\hat \theta _2}$, ${\hat \theta _3}$ of the expanded inverted pendulum system"

Fig.9

Simulation results of the control inputs u1, u2, u3 of the expanded inverted pendulum system"

Fig.10

Simulation results of y1, y2, y3 of the expanded inverted pendulum system with the removed interconnections"

Fig.11

Simulation results of states x1, 2, x2, 2, x3, 2 of the expanded inverted pendulum system with the removed interconnections"

Fig.12

Simulation results of adaptive parameters ${\hat \theta _1}$, ${\hat \theta _2}$, ${\hat \theta _3}$ of the expanded inverted pendulum system with the removed interconnections"

Fig.13

Simulation results of the control inputs u1, u2, u3 of the expanded inverted pendulum system with the removed interconnections"

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