CISC 2016: Proceedings of 2016 Chinese Intelligent Systems Conference pp 607-618 | Cite as
A Visual Feedback Model-Free Design for Robust Tracking of Nonholonomic Mobile Robots
Abstract
This paper considers the problem of designing a visual feedback control law for robust tracking of nonholonomic mobile robots. The control approach developed in this work with uncalibrated visual parameters, unknown control directions, and external disturbances. Using incomplete information of the moving objects to be tracked to propose a model-free, self-support control algorithm to ensure the tracking error can be driven into a prespecified neighborhood of zero. Global stability of the corresponding closed-loop system of tracking error is proved by the Lyapunov stability theory. Finally, the simulation results demonstrate the effectiveness of the proposed controller design method.
Keywords
Visual feedback Nonholonomic mobile robots Model-free Robust trackingNotes
Acknowledgment
This work was supported by the Natural Science Foundation of China (61304004, 61503205), the Foundation of China Scholarship Council (201406715056), the China Postdoctoral Science Foundation funded project (2013M531263), the Jiangsu Planned Projects for Postdoctoral Research Funds (1302140C), the Project Supported by the Foundation (No.CZSR2014005) of Changzhou Key Laboratory of Special Robot and Intelligent Technology, P.R. China, and the Changzhou Sci&Tech Program (CJ20160013).
References
- 1.Brockett RW (1983) Asymptotic stability and feedback stabilization. In: Brockett RW, Millman RS, Sussmann HJ (eds) Differential geometric control theory. Birkhauser, Boston, pp 181–208Google Scholar
- 2.Tian YP, Li S (2002) Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control. Automatica 38(7):1139–1146MathSciNetCrossRefMATHGoogle Scholar
- 3.Hussein II, Bloch AM (2008) Optimal control of underactuated nonholonomic mechanical systems. IEEE Trans Automat Control 53(3):668–682MathSciNetCrossRefGoogle Scholar
- 4.Ge SS, Wang Zhuping, Lee TH (2003) Adaptive stabilization of uncertain nonholonomic systems by state and output feedback. Automatica 39(8):1451–1460MathSciNetCrossRefMATHGoogle Scholar
- 5.Yuanyuan Wu, Yuqiang Wu (2010) Robust stabilization of delayed non-holonomic systems with strong nonlinear drifts. Nonlinear Anal Real World Appl 11(5):3620–3627MathSciNetCrossRefMATHGoogle Scholar
- 6.Murray RM, Sastry SS (1993) Nonholonomic motion planning: Steering using sinusoids. IEEE Trans Autom Control 38(5):700–716MathSciNetCrossRefMATHGoogle Scholar
- 7.Chen H, Wang C, Yang L, Zhang D (2012) Semiglobal stabilization for nonholonomic mobile robots based on dynamic feedback with inputs saturation. J Dyn Syst Meas Control 134(4):041006.1–041006.8Google Scholar
- 8.Teel A, Murry R, Walsh G (1992) Nonholonomic control systems: from steering to stabilization with sinusoids. Proc IEEE Conf Decis Control 2:1603–1609Google Scholar
- 9.Astolfi A (1996) Discontinuous control of nonholonomic systems. Syst Control Lett 27:37–45MathSciNetCrossRefMATHGoogle Scholar
- 10.Bloch AM, Drakunov S (1994) Stabilization of a nonholonomic systems via sliding modes. Proc IEEE Conf Decis Control 3:2961–2963Google Scholar
- 11.de Wit CC, SZrdalen OJ (1992) Exponential stabilization of mobile robots with nonholonomic constraints. IEEE Trans Autom Control 37(11):1791–1797MathSciNetCrossRefMATHGoogle Scholar
- 12.Sordalen OJ, Egeland O (1995) Exponential stabilization of nonholonomic chained systems. IEEE Trans Autom Control 40(1):35–49MathSciNetCrossRefMATHGoogle Scholar
- 13.Soueres P, Balluchi A, Bicchi A (2001) Optimal feedback control for line tracking with a bounded-curvature vehicle. Int J Control 74(10):1009–1019MathSciNetCrossRefMATHGoogle Scholar
- 14.Hussein II, Bloch AM (2008) Optimal control of underactuated nonholonomic mechanical systems. IEEE Trans Autom Control 53(3):668–682MathSciNetCrossRefGoogle Scholar
- 15.Qu Z, Wang J, Plaisted CE, Hull RA (2006) Global-stabilizing near-optimal control design for nonholonomic chained systems. IEEE Trans Autom Control 51(9):1440–1456MathSciNetCrossRefGoogle Scholar
- 16.Keighobadi J, Menhaj MB (2012) From nonlinear to fuzzy approaches in trajectory tracking control of wheeled mobile robots. Asian J. Control 14(4):960–973MathSciNetCrossRefMATHGoogle Scholar
- 17.Chang Y-C, Yen H-M, Wang P-T (2012) An intelligent robust tracking control for a class of electrically driven mobile robots. Asian J. Control 14(6):1567–1579MathSciNetCrossRefMATHGoogle Scholar
- 18.Wang Z, Li S, Fei S (2009) Finite-time tracking control of a nonholonomic mobile robot. Asian J Control 11:344–357MathSciNetCrossRefGoogle Scholar
- 19.Ou M, Du H, Li S (2012) Finite-time tracking control of multiple nonholonomic mobile robots. J Franklin Inst 349:2834–2860MathSciNetCrossRefMATHGoogle Scholar
- 20.Liang Z, Wang C (2011) Robust stabilization of nonholonomic chained form systems with uncertainties. Acta Automatica Sina 37(2):129–142MathSciNetMATHGoogle Scholar
- 21.Novakovic ZR (1992) The principle of self-support in control systems. Elsevier Science LtdGoogle Scholar
- 22.Chen H, Chen YQ (2015) Fractional-order generalized principle of self-support (FOG PSS) in control systems design. arXiv:1509.06043
- 23.Chen H, Zhang J, Chen B, Li B (2013) Global practical stabilization for nonholonomic mobile robots with uncalibrated visual parameters by using a switching controller. IMA J Math Control Inf. doi: 10.1093/imamci/dns044 MATHGoogle Scholar
- 24.C H, Chen B, Li B, Zhang J (2013) Practical stabilization of uncertain nonholonomic mobile robots based on visual servoing model with uncalibrated camera parameters. Math Prob Eng. doi: 10.1155/2013/395410 MathSciNetMATHGoogle Scholar
- 25.Chen H, Wang C, Liang Z et al (2014) Robust practical stabilization of nonholonomic mobile robots based on visual servoing feedback with inputs saturation. Asian J Control 16(3):692–702MathSciNetCrossRefMATHGoogle Scholar
- 26.Chen H, Ding S, Chen X et al (2014) Global finite-time stabilization for nonholonomic mobile robots based on visual servoing. Int J Adv Robot Syst 11:1–13Google Scholar
- 27.Chang Y-C, Yen H-M, Wang P-T (2012) An intelligent robust tracking control for a class of electrically driven mobile robots. Asian J Control 14(6):1567–1579MathSciNetCrossRefMATHGoogle Scholar
- 28.Liang Z, Wang C (2011) Robust stabilization of nonholonomic chained form systems with uncertainties. Acta Automatica Sina 37(2):129–142MathSciNetMATHGoogle Scholar