Abstract
This paper investigates adaptive neural network (NN) prescribed performance output tracking control problem for a class of strict-feedback nonlinear systems with output dead zone. By introducing a Nussbaum function, the problem of unknown virtual control coefficient is resolved, which is caused by the nonlinearity in the output dead zone. By designing the state observer and utilizing backstepping recursive design technique, a new adaptive NN control method is proposed. It is shown that all the signals of the resulting closed-loop system are bounded and the tracking error remains an adjustable neighborhood of the origin with the predefined performance under the effect of output dead zone. Finally, a simulation example is given at the simulation part, which further demonstrate the effectiveness of proposed control method.
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References
Bechlioulis CP, Rovithakis GA (2008) Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance. IEEE Trans Autom Control 53(9):2090–2099
Bechlioulis CP, Rovithakis GA (2010) Prescribed performance adaptive control for multi-input multi-output affine in the control nonlinear systems. IEEE Trans Autom Control 55(5):1220–1226
Bechlioulis CP, Rovithakis GA (2012) A priori guaranteed evolution within the neural network approximation set and robustness expansion via prescribed performance control. IEEE Trans Neural Netw Learn Syst 23(4):669–675
Chen B, Liu X, Liu K, Lin C (2009) Direct adaptive fuzzy control of nonlinear strict-feedback systems. Automatica 45(6):1530–1535
Deng H, Krstić M (1997) Stochastic nonlinear stabilization-i: a backstepping design. Syst Control Lett 32(3):143–150
Ge SS, Wang C (2004) Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Trans Neural Netw 15(3):674–692
Jiang ZP (1999) A combined backstepping and small-gain approach to adaptive output feedback control. Automatica 35(6):1131–1139
Khalil HK (1996) Adaptive output feedback control of nonlinear systems represented by input-output models. IEEE Trans Autom Control 41(2):177–188
Krstić M, Kanellakopoulos I, Kokotović PV (1992) Adaptive nonlinear control without overparametrization. Syst Control Lett 19(3):177–185
Li Y, Tong S (2014) Adaptive fuzzy output-feedback control of pure-feedback uncertain nonlinear systems with unknown dead-zone. IEEE Trans Fuzzy Syst 22(5):1341–1347
Li Y, Tong S, Li T (2014) Observer-based adaptive fuzzy tracking control of MIMO stochastic nonlinear systems with unknown control direction and unknown dead-zones. IEEE Trans Fuzzy Syst. doi:10.1109/TFUZZ.2014.2348017
Sui S, Tong S, Li Y (2015) Observer-based fuzzy adaptive prescribed performance tracking control for nonlinear stochastic systems with input saturation. Neurocomputing 158:100–108
Tao G, Kokotovic PV (1994) Adaptive control of plants with unknown dead-zones. IEEE Trans Autom Control 39(1):59–68
Tao G, Kokotovic PV (1996) Adaptive control of systems with actuator and sensor nonlinearities. Wiley, London
Taware A, Tao G (2003) An adaptive dead-zone inverse controller for systems with sandwiched dead-zones. Int J Control 76(8):755–769
Tong S, Li Y (2012) Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones. IEEE Trans Fuzzy Syst 20(1):168–180
Tong S, Li Y (2013) Adaptive fuzzy output feedback control of MIMO nonlinear systems with unknown dead-zone inputs. IEEE Trans Fuzzy Syst 21(1):134–146
Tong S, Liu C, Li Y (2010) Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties. IEEE Trans Fuzzy Syst 18(5):845–861
Tong S, Sui S, Li Y (2015) Fuzzy adaptive output feedback control of MIMO nonlinear systems with partial tracking errors constrained. IEEE Trans Fuzzy Syst. doi:10.1109/TFUZZ.2014.2327987
Tong S, Wang T, Li Y (2014) Fuzzy adaptive actuator failure compensation control of uncertain stochastic nonlinear systems with unmodeled dynamics. IEEE Trans Fuzzy Syst 22(3):563–574
Tong S, Wang T, Li Y, Chen B (2013) A combined backstepping and stochastic small-gain approach to robust adaptive fuzzy output feedback control. IEEE Trans Fuzzy Syst 21(2):314–327
Tong S, Wang T, Li Y, Zhang H (2014) Adaptive neural network output feedback control for stochastic nonlinear systems with unknown dead-zone and unmodeled dynamics. IEEE Trans Cybern 44(6):910–921
Tsang KM, Li G (2001) Robust nonlinear nominal-model following control to overcome deadzone nonlinearities. IEEE Trans Ind Electron 48(1):177–184
Wang F, Liu Z, Lai G (2015) Fuzzy adaptive control of nonlinear uncertain plants with unknown dead zone output. Fuzzy Sets Syst 263:27–48
Wang T, Gao H, Qiu J (2015) A combined adaptive neural network and nonlinear model predictive control for multirate networked industrial process control. IEEE Trans Neural Netw Learn Syst. doi:10.1109/TFUZZ.2014.2312026
Wang T, Qiu J, Gao H, Fan J, Chai T (2014) Multirate output feedback control for complex industrial processes in double-layer network environment with rbf performance index. In: 11th World congress on intelligent control and automation, pp 1106–1111
Wang T, Tong S, Li Y (2012) Robust adaptive decentralized fuzzy control for stochastic large-scale nonlinear systems with dynamical uncertainties. Neurocomputing 97:33–43
Wang T, Tong S, Li Y (2013) Adaptive neural network output feedback control of stochastic nonlinear systems with dynamical uncertainties. Neural Comput Appl 23(5):1481–1494
Wang T, Tong S, Li Y (2013) Robust adaptive fuzzy output feedback control for stochastic nonlinear systems with unknown control direction. Neurocomputing 106:31–41
Wang T, Zhang Y, Qiu J, Gao H (2015) Adaptive fuzzy backstepping control for a class of nonlinear systems with sampled and delayed measurements. IEEE Trans Fuzzy Syst 23(2):302–312
Zhang TP, Ge SS (2008) Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form. Automatica 44(7):1895–1903
Zhang TP, Wen H, Zhu Q (2010) Adaptive fuzzy control of nonlinear systems in pure feedback form based on input-to-state stability. IEEE Trans Fuzzy Syst 18(1):80–93
Zhang Y, Peng PY, Jiang ZP (2000) Stable neural controller design for unknown nonlinear systems using backstepping. IEEE Trans Neural Netw 11(6):1347–1360
Zhou J (2008) Decentralized adaptive control for large-scale time-delay systems with dead-zone input. Automatica 44(7):1790–1799
Zhou Q, Shi P, Shengyuan X, Li H (2013) Observer-based adaptive neural network control for nonlinear stochastic systems with time delay. IEEE Trans Neural Netw Learn Syst 24(1):71–80
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Yan, H., Li, Y. Adaptive NN prescribed performance control for nonlinear systems with output dead zone. Neural Comput & Applic 28, 145–153 (2017). https://doi.org/10.1007/s00521-015-2043-4
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DOI: https://doi.org/10.1007/s00521-015-2043-4