Advances in stochastic distribution control

Stochastic distribution control systems aims at the controller design so as to realize a shape control of the distributions of certain random variables in the process. Once the probability density functions (PDFs) of these variables are used to describe their distributions, the control task is to obtain control signals so that the output PFDs of the system are made to follow their target PDFs. In this paper, a survey of the recent developments on the research of stochastic distribution control systems will be made.

[1]  Jinglin Zhou,et al.  Minimum entropy of B-spline PDF systems with mean constraint , 2006, Autom..

[2]  Lei Guo,et al.  Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models , 2004 .

[3]  Jianhua Zhang,et al.  Bounded stochastic distributions control for pseudo-ARMAX stochastic systems , 2001, IEEE Trans. Autom. Control..

[4]  Lei Guo,et al.  Generalized discrete-time PI control of output PDFs using square root B-spline expansion , 2005, Autom..

[5]  Hong Wang,et al.  Bounded Dynamic Stochastic Distributions Modelling and Control , 2000 .

[6]  Hong Wang,et al.  Complex Stochastic Systems Modeling and Control via Iterative Machine Learning , 2006, 2006 IEEE International Conference on Engineering of Intelligent Systems.

[7]  J. F. Forbes,et al.  Control design for first-order processes: shaping the probability density of the process state , 2004 .

[8]  Hong Wang,et al.  Minimum entropy control of non-Gaussian dynamic stochastic systems , 2001 .

[9]  Hong Wang,et al.  Robust control of the output probability density functions for multivariable stochastic systems with guaranteed stability , 1999, IEEE Trans. Autom. Control..

[10]  Lei Guo,et al.  Minimum entropy filtering for multivariate stochastic systems with non-Gaussian noises , 2005, Proceedings of the 2005, American Control Conference, 2005..

[11]  Lei Guo,et al.  PID controller design for output PDFs of stochastic systems using linear matrix inequalities , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  Hong Wang.  Minimum entropy control of non-Gaussian dynamic stochastic systems , 2002, IEEE Trans. Autom. Control..

[13]  L. Wang.  Applying nonlinear generalized constrained PI strategy to PDF tracking control through square root B-spline models , 2004 .