Robust adaptive control for a class of uncertain non-affine nonlinear systems using affine-type neural networks

Robust adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems with unknown control directions

“…In recent years, various adaptive approaches have been proposed for controlling unknown nonaffine nonlinear systems, in which the control input does not appears linearly in the system state equation (i.e. x · = f ( x , u ) ) (Doudou and Khaber, 2012, 2019; Esfandiari et al, 2015; Jia et al, 2019, 2020; Molavi et al, 2017; Shi et al, 2017; Sun and Pan, 2017; Wu et al, 2016, 2020; Zhang et al, 2019, Zhao and Gao, 2015; Zhou et al, 2015). In Jia et al (2019, 2020), backstepping and dynamic surface control (DSC) methods are used to developed the controller, respectively.…”

“…The unknown parameters are estimated by using adaptive laws. In the others approaches, the controller is designed by employing fuzzy logic systems (FLSs) in Doudou and Khaber (2012, 2019), Molavi et al (2017), Wu et al (2016), Wu et al (2020) and Zhou et al (2015) or neural networks (NNs) in Esfandiari et al (2015), Shi et al (2017), Sun and Pan (2017), Zhang et al (2019) and Zhao and Gao (2015) to approximate the unknown nonlinearities. Nevertheless, the major drawback in the above works is that a priori knowledge about the sign of virtual control coefficients, g i ( . ) , i = 1 , . . . , n , is required.…”

“…x = f (x, u)) (Doudou andKhaber, 2012, 2019;Esfandiari et al, 2015;Jia et al, 2019Jia et al, , 2020Molavi et al, 2017;Shi et al, 2017;Sun and Pan, 2017;Wu et al, 2016Wu et al, , 2020Zhang et al, 2019, Zhao andGao, 2015;Zhou et al, 2015). In Jia et al (2019Jia et al ( , 2020, backstepping and dynamic surface control (DSC) methods are used to developed the controller, respectively.…”

Decentralized cooperative unmanned aerial vehicles conflict resolution by neural network-based tree search method

“…Shitie Zhao et al propose to approximate the unknown nonlinear function by affine-type NN. 9 Radial basis functions NNs are applied to approximate the continuous function 7,10 Since wind varies in dynamic environment. In order to meet with the online approximation requirement, the back propagation NNs (BPNNs) are utilized to approximate the wind effect.…”