Publication Cover
Automatika
Journal for Control, Measurement, Electronics, Computing and Communications
Volume 64, 2023 - Issue 3
947
Views
1
CrossRef citations to date
0
Altmetric
Regular Papers

Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural network

, &
Pages 431-440 | Received 14 Jun 2021, Accepted 13 Jan 2023, Published online: 13 Feb 2023

References

  • Powell B. Approximate dynamic programming: solving the curses of dimensionality. New Jersey: Wiley-Blackwell; 2007.
  • Lebedev D, Margellos K, Goulart P. Convexity and feedback in approximate dynamic programming for delivery time slot pricing. IEEE Trans Control Syst Technol. 2022;30(2):893–900.
  • Zhang H, Liu D, Luo Y, et al. Adaptive dynamic programming for control: algorithms and stability. London: Springer; 2013.
  • Lewis FL, Liu D, Editors. Approximate dynamic programming and reinforcement learning for feedback control. Hoboken (NJ): Wiley; 2013.
  • Werbos P. Approximate dynamic programming for real-time control and neural modeling. handbook of intelligent control, neural, fuzzy, and adaptive approaches. New York (NY): Van Nostrand Reinhold; 1992.
  • Miller W, Sutton R, Werbos P. Neural networks for control. Cambridge (MA): MIT Press; 1990.
  • Fairbank M, Alonso E, Prokhorov D. Simple and fast calculation of the second-order gradients for globalized dual heuristic dynamic programming in neural networks. IEEE Trans Neural Netw Learn Syst. 2012;23(10):1671–1676.
  • Zhu L, Modares H, Peen G, et al. Adaptive suboptimal output-feedback control for linear systems using integral reinforcement learning. IEEE Trans Control Syst Technol. 2015;23(1):264–273.
  • Wei Q, Liu D, Shi G. A novel dual iterative q-learning method for optimal battery management in smart residential environments. IEEE Trans Ind Electron. 2015;62(4):2509–2518.
  • Bhasin S, Kamalapurkar R, Johnson M, et al. A novel actor-critic-identifier architecture for approximate optimal control of uncertain nonlinear systems. Automatica (Oxf). 2013;49(1):82–92.
  • Vrabie D, Pastravanu O, Abu-Khalaf M, et al. Adaptive optimal control for continuous-time linear systems based on policy iteration. Automatica (Oxf). 2009;45:477–484.
  • Vamvoudakis K, Lewis F. Online actor critic algorithm to solve the continuous-time infinite horizon optimal control problem. Proc Int Joint Conf Neural Netw. 2009;46:3180–3187.
  • Modares H, Lewis F, Naghibi-Sistani M. Adaptive optimal control of unknown constrained-input dystems using policy iteration and neural networks. IEEE Trans Neural Netw Learn Syst. 2013;24(10):1513–1525.
  • Na J, Lv Y, Wu X, et al. Approximate optimal tracking control for continuous-time unknown nonlinear systems). Nan Jing, China, Proceedings of the 33rd Chinese control conference; 2014; p. 8990–8995.
  • Lv Y, Na J, Yang Q, et al. Online adaptive optimal control for continuous-time nonlinear systems with completely unknown dynamics. Int J Control. 2016;89(1):99–112.
  • Zhang H, Cui L, Luo Y. Near-optimal control for nonzero-sum differential games of continuous-time nonlinear systems using single-network ADP. IEEE Trans Cybern. 2013;43(1):2168–2267.
  • Wei Q, Liu D. Adaptive dynamic programming for optimal tracking control of unknown nonlinear systems with application to coal gasification. IEEE Trans Autom Sci Eng. 2014;11(4):1020–1036.
  • Modares H, Lewis F. Linear quadratic tracking control of partially-unknown continuous-time systems using reinforcement learning. IEEE Trans Autom Control. 2014;59(11):3051–3056.
  • Kamalapurkar R, Dinhb H, Bhasin S, et al. Approximate optimal trajectory tracking for continuous-time nonlinear systems. Automatica (Oxf). 2015;51:40–48.
  • Lv Y, Ren X, Na J. Adaptive optimal tracking controls of unknown multi-input systems based on nonzero-sum game theory. J Franklin Inst. 2019;22(12):2226–2236.
  • Zhang X, Zhang H, Sun Q, et al. Adaptive dynamic programming-based optimal control of unknown nonaffine nonlinear discrete-time systems with proof of convergence. Neurocomputing. 2012;91:48–55.
  • Wang H, Tian Y. Non-affine nonlinear systems adaptive optimal trajectory tracking controller design and application. Stud Inf Control. 2015;24(1):5–11.
  • Li X, Yu W. Dynamic system identification via recurrent multilayer perceptrons. Inf Sci (Ny). 2002;147:45–63.
  • Poznyak A, Yu W, Sanchez E, et al. Nonlinear adaptive trajectory tracking using dynamic neural networks. IEEE Trans Neural Netw. 1999;10(6):1402–1411.
  • Abu-Khalaf M, Lewis F. Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach. Automatica (Oxf). 2005;41(5):779–791.
  • Na J, Yang J, Wu X, et al. Robust adaptive parameter estimation of sinusoidal signals. Automatica (Oxf). 2015;53:376–384.
  • Yang X, Wang Z, Peng W. Coordinated control of AFS and DYC for vehicle handling and stability based on optimal guaranteed cost theory. Veh Syst Dyn. 2009;47(1):57–79.