Fast smooth second-order sliding mode control for systems with additive colored noises
In this paper, a fast smooth second-order sliding mode control is presented for a class of stochastic systems with enumerable Ornstein-Uhlenbeck colored noises. The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Instead of treatin...
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| Veröffentlicht in: | PloS one 2017-05, Vol.12 (5), p.e0178455-e0178455 |
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| creator | Yang, Pengfei Fang, Yangwang Wu, Youli Liu, Yunxia Zhang, Danxu |
| description | In this paper, a fast smooth second-order sliding mode control is presented for a class of stochastic systems with enumerable Ornstein-Uhlenbeck colored noises. The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the design of the controller. The finite-time convergence of the prescribed sliding variable dynamics system is proved by using stochastic Lyapunov-like techniques. Then the proposed sliding mode controller is applied to a second-order nonlinear stochastic system. Simulation results are presented comparing with smooth second-order sliding mode control to validate the analysis. |
| doi_str_mv | 10.1371/journal.pone.0178455 |
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The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the design of the controller. The finite-time convergence of the prescribed sliding variable dynamics system is proved by using stochastic Lyapunov-like techniques. Then the proposed sliding mode controller is applied to a second-order nonlinear stochastic system. Simulation results are presented comparing with smooth second-order sliding mode control to validate the analysis.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0178455</identifier><identifier>PMID: 28562639</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Aeronautics ; Algorithms ; Applied mathematics ; Artificial neural networks ; Computer and Information Sciences ; Control algorithms ; Control systems ; Convergence ; Design analysis ; Design engineering ; Disturbance ; Dynamical systems ; Engineering ; Engineering and Technology ; Mathematical analysis ; Methods ; Models, Theoretical ; Neural networks ; Noise ; Noise prediction ; Nonlinear Dynamics ; Optimal control ; Physical Sciences ; Probability theory ; Process controls ; Robots ; Signal processing ; Simulation ; Sliding mode control ; Stability ; Stochastic Processes ; Stochastic systems ; Stochasticity</subject><ispartof>PloS one, 2017-05, Vol.12 (5), p.e0178455-e0178455</ispartof><rights>COPYRIGHT 2017 Public Library of Science</rights><rights>2017 Yang et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. 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The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the design of the controller. The finite-time convergence of the prescribed sliding variable dynamics system is proved by using stochastic Lyapunov-like techniques. Then the proposed sliding mode controller is applied to a second-order nonlinear stochastic system. 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noises</atitle><jtitle>PloS one</jtitle><addtitle>PLoS One</addtitle><date>2017-05-31</date><risdate>2017</risdate><volume>12</volume><issue>5</issue><spage>e0178455</spage><epage>e0178455</epage><pages>e0178455-e0178455</pages><issn>1932-6203</issn><eissn>1932-6203</eissn><abstract>In this paper, a fast smooth second-order sliding mode control is presented for a class of stochastic systems with enumerable Ornstein-Uhlenbeck colored noises. The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the design of the controller. The finite-time convergence of the prescribed sliding variable dynamics system is proved by using stochastic Lyapunov-like techniques. Then the proposed sliding mode controller is applied to a second-order nonlinear stochastic system. Simulation results are presented comparing with smooth second-order sliding mode control to validate the analysis.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>28562639</pmid><doi>10.1371/journal.pone.0178455</doi><tpages>e0178455</tpages><orcidid>https://orcid.org/0000-0002-1215-7692</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Aeronautics Algorithms Applied mathematics Artificial neural networks Computer and Information Sciences Control algorithms Control systems Convergence Design analysis Design engineering Disturbance Dynamical systems Engineering Engineering and Technology Mathematical analysis Methods Models, Theoretical Neural networks Noise Noise prediction Nonlinear Dynamics Optimal control Physical Sciences Probability theory Process controls Robots Signal processing Simulation Sliding mode control Stability Stochastic Processes Stochastic systems Stochasticity |
| title | Fast smooth second-order sliding mode control for systems with additive colored noises |
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