{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T15:59:31Z","timestamp":1777910371657,"version":"3.51.4"},"reference-count":41,"publisher":"SAGE Publications","issue":"10","license":[{"start":{"date-parts":[[2017,8,1]],"date-time":"2017-08-01T00:00:00Z","timestamp":1501545600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2018,6]]},"abstract":"<jats:p>In this paper, the problem of anti-disturbance control is studied for non-linear systems with stochastic multiple disturbances. The multiple disturbances include two types: one is the stochastic harmonic disturbance and the other non-harmonic noise generated by a linear stochastic exogenous system. An adaptive stochastic disturbance observer (ASDO) is constructed to estimate both the two aforementioned disturbances. Combining the disturbance estimation with a conventional state feedback control law, a composite anti-disturbance control scheme is constructed such that the closed-loop system is stochastically stable, and different types of disturbances may be attenuated and rejected. By using the Lyapunov function method and linear matrix inequalities technique, sufficient conditions for the stochastic stability of the closed-loop system are established. Moreover, an adaptive stochastic extended state observer (ASESO) is proposed for the output feedback case. Finally, an application example is provided to demonstrate the effectiveness of the proposed method.<\/jats:p>","DOI":"10.1177\/0142331217718051","type":"journal-article","created":{"date-parts":[[2017,8,1]],"date-time":"2017-08-01T04:43:35Z","timestamp":1501562615000},"page":"3222-3231","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Stochastic disturbance observer-based adaptive anti-disturbance control for non-linear systems with stochastic non-harmonic multiple disturbances"],"prefix":"10.1177","volume":"40","author":[{"given":"Yanpeng","family":"Pan","sequence":"first","affiliation":[{"name":"China Academy of Launch Vehicle Technology, Beijing, PR China"}]}],"member":"179","published-online":{"date-parts":[[2017,8,1]]},"reference":[{"key":"bibr1-0142331217718051","doi-asserted-by":"crossref","unstructured":"An H, Liu J, Wang C, et al. (2016) Disturbance observer-based anti-windup control for air-breathing hypersonic vehicles. IEEE Transactions on Industrial Electronics 99: 1. https:\/\/doi.org\/10.1109\/TIE.2016.2516498","DOI":"10.1109\/TIE.2016.2516498"},{"key":"bibr2-0142331217718051","doi-asserted-by":"crossref","unstructured":"Chen W-H (2003) Nonlinear disturbance observer-enhanced dynamic inversion control of missiles. Journal of Guidance, Control, and Dynamics 26(1): 161\u2013166. https:\/\/doi.org\/10.2514\/2.5027","DOI":"10.2514\/2.5027"},{"key":"bibr3-0142331217718051","doi-asserted-by":"crossref","unstructured":"Chen W-H (2004) Disturbance observer based control for nonlinear systems. IEEE\/ASME Transactions on Mechatronics 9(4): 706\u2013710. https:\/\/doi.org\/10.1109\/TMECH.2004.839034","DOI":"10.1109\/TMECH.2004.839034"},{"key":"bibr4-0142331217718051","doi-asserted-by":"crossref","unstructured":"Chen W-H, Ohnishi K, Guo L (2015) Advances in disturbance\/uncertainty estimation and attenuation [Guest editors\u2019 introduction]. IEEE Transactions on Industrial Electronics 62(9): 5758\u20135762. https:\/\/doi.org\/10.1109\/TIE.2015.2453347","DOI":"10.1109\/TIE.2015.2453347"},{"key":"bibr5-0142331217718051","doi-asserted-by":"crossref","unstructured":"Chen W-H, Yang J, Guo L, et al. (2016) Disturbance-observer-based control and related methods \u2013 an overview. IEEE Transactions on Industrial Electronics 63(2): 1083\u20131095. https:\/\/doi.org\/10.1109\/TIE.2015.2478397","DOI":"10.1109\/TIE.2015.2478397"},{"key":"bibr6-0142331217718051","doi-asserted-by":"crossref","unstructured":"Gao Z (2014) On the centrality of disturbance rejection in automatic control. ISA Transactions 53(4): 850\u2013857. https:\/\/doi.org\/10.1016\/j.isatra.2013.09.012","DOI":"10.1016\/j.isatra.2013.09.012"},{"key":"bibr7-0142331217718051","doi-asserted-by":"crossref","unstructured":"Guo L, Cao S (2014) Anti-disturbance control theory for systems with multiple disturbances: a survey. ISA Transactions 53(4): 846\u2013849. https:\/\/doi.org\/10.1016\/j.isatra.2013.10.005","DOI":"10.1016\/j.isatra.2013.10.005"},{"key":"bibr8-0142331217718051","doi-asserted-by":"crossref","unstructured":"Guo L, Chen WH (2005) Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach. International Journal of Robust and Nonlinear Control 15(3): 109\u2013125. https:\/\/doi.org\/10.1002\/rnc.978","DOI":"10.1002\/rnc.978"},{"key":"bibr9-0142331217718051","volume-title":"Inequalities","author":"Hardy GH","year":"1989"},{"key":"bibr10-0142331217718051","doi-asserted-by":"crossref","unstructured":"Ibrir S, Xie WF, Su CY (2007) Adaptive tracking of nonlinear systems with non-symmetric dead-zone input. Automatica 43(3): 522\u2013530. https:\/\/doi.org\/10.1016\/j.automatica.2006.09.022","DOI":"10.1016\/j.automatica.2006.09.022"},{"key":"bibr11-0142331217718051","doi-asserted-by":"crossref","unstructured":"Kha\u015bminski\u012d RZ, Rafail Z, Milstein GN, et al. (2012) Stochastic Stability Of Differential Equations (Complete). Berlin: Springer. Retrieved from http:\/\/ci.nii.ac.jp\/ncid\/BB07057051","DOI":"10.1007\/978-3-642-23280-0_5"},{"key":"bibr12-0142331217718051","doi-asserted-by":"crossref","unstructured":"Lavretsky E, Wise KA (2013) Robust and Adaptive Control. London: Springer London. https:\/\/doi.org\/10.1007\/978\u20131\u20134471\u20134396\u20133","DOI":"10.1007\/978-1-4471-4396-3_11"},{"key":"bibr13-0142331217718051","volume-title":"Disturbance Observer-based Control: Methods and Applications","author":"Li S","year":"2014"},{"key":"bibr14-0142331217718051","doi-asserted-by":"crossref","unstructured":"Li Y, Sun H, Zong G, et al. (2016) Composite anti-disturbance resilient control for Markovian jump nonlinear systems with partly unknown transition probabilities and multiple disturbances. International Journal of Robust and Nonlinear Control 18(October2014): 557\u2013569. https:\/\/doi.org\/10.1002\/rnc.3682","DOI":"10.1002\/rnc.3682"},{"key":"bibr15-0142331217718051","doi-asserted-by":"crossref","unstructured":"Liu Y (2009) Robust adaptive observer for nonlinear systems with unmodeled dynamics. Automatica 45(8): 1891\u20131895. https:\/\/doi.org\/10.1016\/j.automatica.2009.04.002","DOI":"10.1016\/j.automatica.2009.04.002"},{"key":"bibr16-0142331217718051","doi-asserted-by":"publisher","DOI":"10.1142\/p473"},{"key":"bibr17-0142331217718051","doi-asserted-by":"crossref","unstructured":"Stoorvogel A, Saberi A (2015) Necessary and sufficient conditions for global external stochastic stabilisation of linear systems with input saturation. IEEE Transactions on Automatic Control 9286(c): 1\u20131. https:\/\/doi.org\/10.1109\/TAC.2015.2471676","DOI":"10.1109\/TAC.2015.2471676"},{"key":"bibr18-0142331217718051","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.12.044"},{"key":"bibr19-0142331217718051","doi-asserted-by":"publisher","DOI":"10.1080\/21642583.2015.1082512"},{"key":"bibr20-0142331217718051","doi-asserted-by":"crossref","unstructured":"Sun H, Guo L (2014) Composite adaptive disturbance observer based control and back-stepping method for nonlinear system with multiple mismatched disturbances. Journal of the Franklin Institute 351(2): 1027\u20131041. https:\/\/doi.org\/10.1016\/j.jfranklin.2013.10.002","DOI":"10.1016\/j.jfranklin.2013.10.002"},{"key":"bibr21-0142331217718051","doi-asserted-by":"crossref","unstructured":"Tao G (2014) Multivariable adaptive control: a survey. Automatica 50(11): 2737\u20132764. https:\/\/doi.org\/10.1016\/j.automatica.2014.10.015","DOI":"10.1016\/j.automatica.2014.10.015"},{"issue":"1","key":"bibr22-0142331217718051","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1109\/9.273339","volume":"39","author":"Tao G","year":"1992","journal-title":"IEEE Transactions on Automatic Control"},{"key":"bibr23-0142331217718051","doi-asserted-by":"publisher","DOI":"10.1080\/002071797224009"},{"key":"bibr24-0142331217718051","doi-asserted-by":"crossref","unstructured":"Van Parys BPG, Kuhn D, Goulart PJ, et al. (2014) Distributionally robust control of constrained stochastic systems. IEEE Transactions on Automatic Control 61(2): 430\u2013442. https:\/\/doi.org\/10.1109\/tac.2015.2444134","DOI":"10.1109\/TAC.2015.2444134"},{"key":"bibr25-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wang Z, Pan Y (2017) Robust adaptive fault tolerant control for a class of nonlinear systems with dynamic uncertainties. Optik \u2013 International Journal for Light and Electron Optics 131: 941\u2013952. https:\/\/doi.org\/10.1016\/j.ijleo.2016.11.209","DOI":"10.1016\/j.ijleo.2016.11.209"},{"key":"bibr26-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wang Z, Yuan J, Che D (2017) Adaptive attitude takeover control for space non-cooperative targets with stochastic actuator faults. Optik \u2013 International Journal for Light and Electron Optics 137: 279\u2013290. https:\/\/doi.org\/10.1016\/j.ijleo.2017.02.071","DOI":"10.1016\/j.ijleo.2017.02.071"},{"key":"bibr27-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wang Z, Yuan J, Pan Y, et al. (2017) Adaptive neural control for high order Markovian jump nonlinear systems with unmodeled dynamics and dead zone inputs. Neurocomputing 247: 62\u201372. https:\/\/doi.org\/10.1016\/j.neucom.2017.03.041","DOI":"10.1016\/j.neucom.2017.03.041"},{"key":"bibr28-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wang Z, Zhang B, Yuan J, et al. (2017) Robust adaptive fault tolerant control for a class of linearly parameterized uncertain nonlinear systems: an integrated method. Transactions of the Institute of Measurement and Control 131: 014233121769614. https:\/\/doi.org\/10.1177\/0142331217696142","DOI":"10.1177\/0142331217696142"},{"key":"bibr29-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wei Kang (1995) Nonlinear H\/sub \u221e\/ control and its application to rigid spacecraft. IEEE Transactions on Automatic Control 40(7): 1281\u20131285. https:\/\/doi.org\/10.1109\/9.400476","DOI":"10.1109\/9.400476"},{"key":"bibr30-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wei X, Chen N (2014) Composite hierarchical anti-disturbance control for nonlinear systems with DOBC and fuzzy control. International Journal of Robust and Nonlinear Control 24(2): 362\u2013373. https:\/\/doi.org\/10.1002\/rnc.2891","DOI":"10.1002\/rnc.2891"},{"key":"bibr31-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wei X, Chen N, Li W (2013) Composite adaptive disturbance observer-based control for a class of nonlinear systems with multisource disturbance. International Journal of Adaptive Control and Signal Processing 27(3): 199\u2013208. https:\/\/doi.org\/10.1002\/acs.2290","DOI":"10.1002\/acs.2290"},{"key":"bibr32-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wei XJ, Wu ZJ, Karimi HR (2016) Disturbance observer-based disturbance attenuation control for a class of stochastic systems. Automatica 63: 21\u201325. https:\/\/doi.org\/10.1016\/j.automatica.2015.10.019","DOI":"10.1016\/j.automatica.2015.10.019"},{"key":"bibr33-0142331217718051","doi-asserted-by":"crossref","unstructured":"Wen C, Zhou J, Wang W (2009) Decentralized adaptive backstepping stabilization of interconnected systems with dynamic input and output interactions. Automatica 45(1): 55\u201367. https:\/\/doi.org\/10.1016\/j.automatica.2008.06.018","DOI":"10.1016\/j.automatica.2008.06.018"},{"key":"bibr34-0142331217718051","doi-asserted-by":"crossref","unstructured":"Yang J, Ding Z, Chen W, et al. (2016) Output-based disturbance rejection control for non-linear uncertain systems with unknown frequency disturbances using an observer backstepping approach. IET Control Theory & Applications 10(9): 1052\u20131060. https:\/\/doi.org\/10.1049\/iet-cta.2015.1160","DOI":"10.1049\/iet-cta.2015.1160"},{"key":"bibr35-0142331217718051","doi-asserted-by":"crossref","unstructured":"Yao X, Guo L (2013) Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer. Automatica 49(8): 2538\u20132545. https:\/\/doi.org\/10.1016\/j.automatica.2013.05.002","DOI":"10.1016\/j.automatica.2013.05.002"},{"key":"bibr36-0142331217718051","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2013.0659"},{"key":"bibr37-0142331217718051","doi-asserted-by":"crossref","unstructured":"Zhang J, Liu X, Xia Y, et al. (2016) Disturbance observer based integral sliding mode control for systems with mismatched disturbances. IEEE Transactions on Industrial Electronics 0046(c): 1\u20131. https:\/\/doi.org\/10.1109\/TIE.2016.2583999","DOI":"10.1109\/TIE.2016.2583999"},{"key":"bibr38-0142331217718051","doi-asserted-by":"crossref","unstructured":"Zhang TP, Ge SS (2008) Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form. Automatica 44(7): 1895\u20131903. https:\/\/doi.org\/10.1016\/j.automatica.2007.11.025","DOI":"10.1016\/j.automatica.2007.11.025"},{"key":"bibr39-0142331217718051","doi-asserted-by":"crossref","unstructured":"Zhang Z, Xu S (2015) Observer design for uncertain nonlinear systems with unmodeled dynamics. Automatica 51: 80\u201384. https:\/\/doi.org\/10.1016\/j.automatica.2014.10.068","DOI":"10.1016\/j.automatica.2014.10.068"},{"key":"bibr40-0142331217718051","volume-title":"Essentials of Robust Control","author":"Zhou K","year":"1998"},{"key":"bibr41-0142331217718051","doi-asserted-by":"crossref","unstructured":"Zong G, Li Y, Hou L, et al. (2016) Disturbance-observer-based-control and L 2\u2212L \u221e resilient control for Markovian jump non-linear systems with multiple disturbances and its application to single robot arm system. IET Control Theory & Applications 10(2): 226\u2013233. https:\/\/doi.org\/10.1049\/iet-cta.2015.0430.","DOI":"10.1049\/iet-cta.2015.0430"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331217718051","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331217718051","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331217718051","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:55:53Z","timestamp":1777647353000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331217718051"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,1]]},"references-count":41,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2018,6]]}},"alternative-id":["10.1177\/0142331217718051"],"URL":"https:\/\/doi.org\/10.1177\/0142331217718051","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,8,1]]}}}