Abstract
We discussed the output feedback stabilization of stochastic non-holonomic mobile robots. Output feedback controllers are given with backstepping method. So, the original closed-loop system can be stabilized in probability based on provided switching control strategy. In the end, we give an example to explain these results.
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References
Pan Z, Baçar T (1999) Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion. SIAM J Control Optim 37(3):957–995
Deng H, Krstić M (1999) Output-feedback stochastic nonlinear stabilization. IEEE Trans Autom Control 44(2):328–333
Li W, Liu X, Zhang S (2012) Further results on adaptive state-feedback stabilization for stochastic high-order nonlinear systems. Automatica 48(8):1667–1675
Liu L, Xie X (2013) State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay. Automatica 49(4):936–942
Xie X, Liu L (2013) A homogeneous domination approach to state feedback of stochastic high-order nonlinear systems with time-varying delay. IEEE Trans Autom Control 58(2):494–499
Li F, Liu Y (2015) Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate. Syst Control Lett 77:69–79
Deng H, Krstić M (2000) Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance. Syst Control Lett 39(3):173–182
Liu S, Krstić M (2010) Stochastic source seeking for nonholonomic unicycle. Automatica 46(9):1443–1453
Wu Z, Liu Y (2012) Stochastic stabilization of nonholonomic mobile robot with heading-angle-dependent disturbance. Math Probl Eng 2012:1–17
Du Q, Wang C, Wang G, Zhang D (2015) State-feedback stabilization for stochastic high-order nonholonomic systems with Markovian switching. Nonlinear Anal: Hybrid Syst 18:1–14
Do K (2015) Global inverse optimal stabilization of stochastic nonholonomic systems. Syst Control Lett 75:41–55
Wang J, Gao Q, Li H (2006) Adaptive robust control of nonholonomic systems with stochastic disturbances. Sci China Ser F: Inf Sci 49(2):189–207
Zhao Y, Yu J, Wu Y (2011) State-feedback stabilization for a class of more general high order stochastic nonholonomic systems. Int J Adapt Control Sig Process 25(8):687–706
Zhang D, Wang C, Chen H, Yang F, Du J (2013) Adaptive stabilization of stochastic non-holonomic systems with nonhomogeneous uncertainties. Trans Inst Meas Control 35(5):648–663
Gao F, Yuan F (2013) Adaptive stabilization of stochastic nonholonomic systems with nonlinear parameterization. Appl Math Comput 219(16):8676–8686
Zheng X, Wu Y (2010) Output feedback stabilization of stochastic nonholonomic systems. In: Proceedings of 8th conference on world congress on intelligent control and automation, Jinan, China. pp 2091–2096
Liu Y, Wu Y (2011) Output feedback control for stochastic nonholonomic systems with growth rate restriction. Asian J Control 13(1):177–185
Zhang D, Wang C, Wei G, Chen H (2014) Output feedback stabilization for stochastic nonholonomic systems with nonlinear drifts and Markovian switching. Asian J Control 16(6):1679–1692
Shang Y, Meng H (2012) Exponential stabilization of nonholonomic mobile robots subject to stochastic disturbance. J Inf Comput Sci 9(9):2635–2642
Feng W, Sun Q, Cao Z, Zhang D, Chen H (2013) Adaptive state-feedback stabilization for stochastic nonholonomic mobile robots with unknown parameters. Discrete Dyn Nat Soc 2013:1–9
Zhang D, Wang C, Wei G, Zhang H, Chen H (2014) State-feedback stabilization for stochastic nonholonomic mobile robots with uncertain visual servoing parameters. Int J Syst Sci 45(7): 1451–1460
Krstić M, Deng H (1998) Stability of nonlinear uncertain systems. Springer Publishing
Deng H, Krstić M, Williams R (2001) Stabilization of stochastic nonlinear driven by noise of unknown covariance. IEEE Trans Automatic Control 46(8):1237–1253
Campion G, Bastin G, D’Andréa-Novel B (1996) Structural properties and classification of kinematic and dynamic models of wheeled mobile robots. IEEE Trans Robot Autom 12(1):47–62
Mao X (1997) Stochastic differential equations and their applications. Horwood Publishing, Chichester
Acknowledgment
This paper is partially supported by the National Natural Science Foundation (no. 61503262) and Natural Science Foundation of Hebei Province of China (no. A2014106035).
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Feng, W., Wei, H., Zhang, H., Zhang, D. (2016). Output Feedback Stabilization of Stochastic Non-holonomic Mobile Robots. In: Jia, Y., Du, J., Zhang, W., Li, H. (eds) Proceedings of 2016 Chinese Intelligent Systems Conference. CISC 2016. Lecture Notes in Electrical Engineering, vol 405. Springer, Singapore. https://doi.org/10.1007/978-981-10-2335-4_12
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DOI: https://doi.org/10.1007/978-981-10-2335-4_12
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