Minimum entropy control of non-Gaussian dynamic stochastic systems

H. Wang, H. Yue

Research output: Contribution to conferencePaper

10 Citations (Scopus)

Abstract

This paper presents a new method to minimize the closed loop randomness for general dynamic stochastic systems using the entropy concept. The system is assumed to be subjected to any bounded random inputs. Using the recently developed linear B-spline model ([11, 10, 9, 8]) for the shape control of the system output probability density function, a control input is formulated which minimizes the output entropy of the closed loop system. Since the entropy is the measure of randomness for a given random variable, this controller can thus reduces the uncertainty of the closed loop system. A set of sufficient conditions have been established to guarantee the local minimum property of the obtained control input and the stability of the closed loop system. Discussions on the design of minimum entropy tracking error have also been made. An illustrative example is utilized to demonstrate the use of the control algorithm, and satisfactory results have been obtained.
LanguageEnglish
Pages382-387
Number of pages5
DOIs
Publication statusPublished - Dec 2001
Event40th IEEE Conference on Decision and Control - Orlando, Florida, United States
Duration: 4 Dec 20017 Dec 2001

Conference

Conference40th IEEE Conference on Decision and Control
CountryUnited States
CityOrlando, Florida
Period4/12/017/12/01

Fingerprint

Stochastic systems
Entropy
Closed loop systems
Random variables
Splines
Probability density function
Controllers

Keywords

  • minimum entropy
  • non-gaussian
  • dynamic stochastic systems

Cite this

Wang, H., & Yue, H. (2001). Minimum entropy control of non-Gaussian dynamic stochastic systems. 382-387. Paper presented at 40th IEEE Conference on Decision and Control, Orlando, Florida, United States. https://doi.org/10.1109/.2001.980130
Wang, H. ; Yue, H. / Minimum entropy control of non-Gaussian dynamic stochastic systems. Paper presented at 40th IEEE Conference on Decision and Control, Orlando, Florida, United States.5 p.
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Wang, H & Yue, H 2001, 'Minimum entropy control of non-Gaussian dynamic stochastic systems' Paper presented at 40th IEEE Conference on Decision and Control, Orlando, Florida, United States, 4/12/01 - 7/12/01, pp. 382-387. https://doi.org/10.1109/.2001.980130

Minimum entropy control of non-Gaussian dynamic stochastic systems. / Wang, H.; Yue, H.

2001. 382-387 Paper presented at 40th IEEE Conference on Decision and Control, Orlando, Florida, United States.

Research output: Contribution to conferencePaper

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N2 - This paper presents a new method to minimize the closed loop randomness for general dynamic stochastic systems using the entropy concept. The system is assumed to be subjected to any bounded random inputs. Using the recently developed linear B-spline model ([11, 10, 9, 8]) for the shape control of the system output probability density function, a control input is formulated which minimizes the output entropy of the closed loop system. Since the entropy is the measure of randomness for a given random variable, this controller can thus reduces the uncertainty of the closed loop system. A set of sufficient conditions have been established to guarantee the local minimum property of the obtained control input and the stability of the closed loop system. Discussions on the design of minimum entropy tracking error have also been made. An illustrative example is utilized to demonstrate the use of the control algorithm, and satisfactory results have been obtained.

AB - This paper presents a new method to minimize the closed loop randomness for general dynamic stochastic systems using the entropy concept. The system is assumed to be subjected to any bounded random inputs. Using the recently developed linear B-spline model ([11, 10, 9, 8]) for the shape control of the system output probability density function, a control input is formulated which minimizes the output entropy of the closed loop system. Since the entropy is the measure of randomness for a given random variable, this controller can thus reduces the uncertainty of the closed loop system. A set of sufficient conditions have been established to guarantee the local minimum property of the obtained control input and the stability of the closed loop system. Discussions on the design of minimum entropy tracking error have also been made. An illustrative example is utilized to demonstrate the use of the control algorithm, and satisfactory results have been obtained.

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Wang H, Yue H. Minimum entropy control of non-Gaussian dynamic stochastic systems. 2001. Paper presented at 40th IEEE Conference on Decision and Control, Orlando, Florida, United States. https://doi.org/10.1109/.2001.980130