Journal of Systems Engineering and Electronics ›› 2014, Vol. 25 ›› Issue (1): 144-149.doi: 10.1109/JSEE.2014.00017

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Shape control on probability density function in stochastic systems

Lingzhi Wang1,2,*, Fucai Qian1,3, and Jun Liu1   

  1. 1. School of Automation and Information, Xi’an University of Technology, Xi’an 710048, China;
    2. School of Automation, Xi’an University of Posts and Telecommunications, Xi’an 710121, China;
    3. State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China
  • Online:2014-02-25 Published:2010-01-03

Abstract:

A novel strategy of probability density function (PDF) shape control is proposed in stochastic systems. The controller is designed whose parameters are optimally obtained through the improved particle swarm optimization algorithm. The parameters of the controller are viewed as the space position of a particle in particle swarm optimization algorithm and updated continually until the controller makes the PDF of the state variable as close as possible to the expected PDF. The proposed PDF shape control technique is compared with the equivalent linearization technique through simulation experiments. The results show the superiority and the effectiveness of the proposed method. The controller is excellent in making the state PDF follow the expected PDF and has the very small error between the state PDF and the expected PDF, solving the control problem of the PDF shape in stochastic systems effectively.