Abstract
In this paper, an adaptive neural network (NN) tracking controller is developed for a class of uncertain multi-input multi-output (MIMO) nonlinear systems with input saturation. Radial basis function neural networks are utilized to approximate the unknown nonlinear functions in the MIMO system. A novel auxiliary system is developed to compensate the effects induced by input saturation (in both magnitude and rate) during tracking control. Endowed with a switching structure that integrates two existing representative auxiliary system designs, this novel auxiliary system improves control performance by preserving their advantages. It provides a comprehensive design structure in which parameters can be adjusted to meet the required control performance. The auxiliary system signal is utilized in both the control law and the neural network weight-update laws. The performance of the resultant closed-loop system is analyzed, and the bound of the transient error is established. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive neural network control.
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References
Ge SS, Wang C (2004) Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Trans Neural Netw 15:674–692
Chang YC (2000) Robust tracking control for nonlinear MIMO systems via fuzzy approaches. Automatica 36:1535–1545
Ge SS, Hang CC, Zhang T (2000) Stable adaptive control for nonlinear multivariable systems with a triangular control structure. IEEE Trans Autom Control 45:1221–1225
Haddad WM, Hayakawa T, Chellaboina V (2003) Robust adaptive control for nonlinear uncertain systems. Automatica 39:551–556
Wang H, Chen B, Liu K, Liu X, Lin C (2014) Adaptive neural tracking control for a class of nonstrict-feedback stochastic nonlinear systems with unknown backlash-like hysteresis. IEEE Trans Neural Netw Learn Syst 25(5):947–958
Li T, Wang D, Feng G, Tong SC (2010) A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems. IEEE Trans Syst Man Cybern B Cybern 40(3):915–927
Dai S, Wang C, Wang M (2014) Dynamic learning from adaptive neural network control of a class of nonaffine nonlinear systems. IEEE Trans Neural Netw Learn Syst 25(11):111–123
Wang C, Wang M, Liu T, Hill DJ (2012) Learning from ISS-modular adaptive NN control of nonlinear strict-feedback systems. IEEE Trans Neural Netw Learn Syst 23(10):1539–1550
Chen M, Ge SS (2013) Direct adaptive neural control for a class of uncertain non-affine nonlinear systems based on disturbance observer. IEEE Trans Cybern 43(4):1213–1225
Kwan C, Lewis FL (2000) Robust backstepping control of nonlinear systems using neural networks. IEEE Trans Syst Man Cybern A Syst Humans 30:753–766
Ge SS, Li GY, Zhang J, Lee TH (2004) Direct adaptive control for a class of MIMO nonlinear systems using neural networks. IEEE Trans Automat Contr 49:2001–2006
Hayakawa T, Haddad WM, Hovakimyan N (2008) Neural network adaptive control for a class of nonlinear uncertain dynamical systems with asymptotic stability guarantees. IEEE Trans Neural Netw 19:80–89
Wang H, Chen B, Liu X, Liu K, Lin C (2014) Adaptive neural tracking control for stochastic nonlinear strict-feedback systems with unknown input saturation. Info Sci 269:300–315
Cui G, Jiao T, Wei Y, Song G, Chu Y (2014) Adaptive neural control of stochastic nonlinear systems with multiple time-varying delays and input saturation. Neural Comput Appl 25:779–791
Li Y, Tong S, Li T (2014) Adaptive fuzzy output-feedback control for output constrained nonlinear systems in the presence of input saturation. Fuzzy Sets Syst 248:138–155
Gao S, Ning B, Dong H (2015) Adaptive neural control with intercepted adaptation for time-delay saturated nonlinear systems. Neural Comput Appl doi:10.1007/s00521-015-1855-6
Wen C, Zhou J, Liu Z, Su H (2011) Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans Automat Contr 56(7):1672–1678
Zhong YS (2005) Globally stable adaptive system design for minimum phase SISO plants with input saturation. Automatica 41:1539–1547
Wang H, Chen B, Liu X, Liu K, Lin C (2013) Robust adaptive fuzzy tracking control for pure-feedback stochastic nonlinear systems with input constraints. IEEE Trans Cybern 43(6):2093–2104
Li Y, Tong S, Li T (2013) Direct adaptive fuzzy backstepping control of uncertain nonlinear systems in the presence of input saturation. Neural Comput Appl 23(5):1207–1216
Esfandiari K, Abdollahi F, Talebi HA (2014) Adaptive control of uncertain nonaffine nonlinear systems with input saturation using neural networks. IEEE Trans Neural Netw Learn Syst PP(99):1
Sonneveldt L, Chu QP, Mulder JA (2007) Nonlinear flight control design using constrained adaptive backstepping. J Guid Control Dyn 322–336
Wenzhi G, Selmic RR (2006) Neural network control of a class of nonlinear systems with actuator saturation. IEEE Trans Neural Netw 17:147–156
Hu Q, Ma G, Xie L (2008) Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity. Automatica 44:552–559
Tang X, Tao G, Joshi SM (2007) Adaptive actuator failure compensation for nonlinear MIMO systems with an aircraft control application. Automatica 43:1869–1883
Polycarpou M, Farrell J, Sharma M (2003) On-line approximation control of uncertain nonlinear systems: issues with control input saturation. In: Proceedings of American Control Conference, p 543–548
Farrell J, Polycarpou M, Sharma M (June. 2003) Adaptive backstepping with magnitude, rate, and bandwidth constraints: aircraft longitude control. In: Proceedings of American Control Conference, p 3898–3904
Farrell J, Polycarpou M, Sharma M (2004) On-line approximation based control of uncertain nonlinear systems with magnitude, rate and bandwidth constraints on the states and actuators. In: Proceedings of American Control Conference, p 2557–2562
Yuan R, Yi J, Yu W, Fan G (June 2011) Adaptive controller design for uncertain nonlinear systems with input magnitude and rate limitations. In: Proceedings of American Control Conference, p 3536–3541
Chen M, Ge S, Ren B (2011) Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica 47:452–465
Chen M, Ge SS, How B (2010) Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Trans Neural Netw 21:796–812
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Zhou, S., Chen, M., Ong, CJ. et al. Adaptive neural network control of uncertain MIMO nonlinear systems with input saturation. Neural Comput & Applic 27, 1317–1325 (2016). https://doi.org/10.1007/s00521-015-1935-7
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DOI: https://doi.org/10.1007/s00521-015-1935-7