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An Adaptive Actor-critic Algorithm with Multi-step Simulated Experiences for Controlling Nonholonomic Mobile Robots

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Abstract

In this paper, we propose a new algorithm of an adaptive actor-critic method with multi-step simulated experiences, as a kind of temporal difference (TD) method. In our approach, the TD-error is composed of two value- functions and m utility functions, where m denotes the number of multi-steps in which the experience should be simulated. The value-function is constructed from the critic formulated by a radial basis function neural network (RBFNN), which has a simulated experience as an input, generated from a predictive model based on a kinematic model. Thus, since our approach assumes that the model is available to simulate the m-step experiences and to design a controller, such a kinematic model is also applied to construct the actor and the resultant model based actor (MBA) is also regarded as a network, i.e., it is just viewed as a resolved velocity control network. We implement this approach to control nonholonomic mobile robot, especially in a trajectory tracking control problem for the position coordinates and azimuth. Some simulations show the effectiveness of the proposed method for controlling a mobile robot with two-independent driving wheels.

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References

  1. van Buijtenen WM, Schram G, Babuška R, Verbruggen HB (1998) Adaptive fuzzy control of satellite attitude by reinforcement learning. IEEE Trans Fuzzy Syst 6(2):185–194

    Article  Google Scholar 

  2. Sutton RS (1988) Learning to predict by the methods of temporal differences. Mach Learn 3:9–44

    Google Scholar 

  3. Konda VR, Tsitsiklis JN (2003) On actor-critic algorithms. SIAM J Contr Optim 42(4):1143–1166

    Article  MATH  MathSciNet  Google Scholar 

  4. Watanabe K, Syam R, Izumi K, Kiguchi K (2001) Adaptive actor-critic with current estimated or predicted value-function. In: Proceeding of the international Conference on KES2001. Osaka, Japan, pp 1308–1318

  5. Syam R, Watanabe K, Izumi K, Kiguchi K (2001) Adaptive actor-critic learning of mobile robots using actual and simulated experiences. In: Proceedings of the international Conference on ICCAS2001. Cheju, Korea, pp 312–316

  6. Watanabe K (1992) Adaptive estimation and control. Prentice Hall, London

    Google Scholar 

  7. Syam R, Watanabe K, Izumi K, Kiguchi K (2002) Adaptive actor-critic learning of mobile robot using simulated experience through predictive model. In: Proceedings of the international conference on AROB2002. Beppu, Japan, pp 421–424

  8. Syam R, Watanabe K, Izumi K, Kiguchi K (2002) Control of nonholonomic mobile robot by an adaptive actor-critic method with simulated experience based value-functions. In: Proceedings of 2002 IEEE international conference on Robotics and Automation (ICRA2002). Washington D.C., pp 3960–3965

  9. Prokhorov DV, Wunch DC (1997) Adaptive critic designs. IEEE Trans Neural Network 8(5):997–1007

    Article  Google Scholar 

  10. Barto AG, Sutton RS, Anderson W (1983) Neuron-like adaptive elements can solve difficult learning control problems. IEEE Trans Syst Man, Cybernet 13(5):834–846

    Google Scholar 

  11. Sutton RS, Barto AG (1999) Reinforcement learning, an introduction. MIT Press, Cambridge

    Google Scholar 

  12. Watanabe K, Tang J, Nakamura M, Koga S, Fukuda T (1996) A fuzzy-Gaussian neural network and its application to mobile robot. IEEE Trans Contr Syst Technol 4(2):193–199

    Article  Google Scholar 

  13. Fierro R, Lewis FL (1998) Control of nonholonomic mobile robot using neural networks. IEEE Trans Neural Network 9(4):589–600

    Article  Google Scholar 

  14. Fierro R, Lewis FL (1997) Control of a nonholonomic mobile robot: backstepping kinematics into dynamics. J Robot Syst 14(3):149–163

    Article  MATH  Google Scholar 

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Correspondence to Keigo Watanabe.

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Syam, R., Watanabe, K. & Izumi, K. An Adaptive Actor-critic Algorithm with Multi-step Simulated Experiences for Controlling Nonholonomic Mobile Robots. Soft Comput 11, 81–89 (2007). https://doi.org/10.1007/s00500-006-0054-x

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