Adaptive neural tracking control for a class of switched uncertain nonlinear systems

Sampled‐data control of a class of uncertain switched nonlinear systems in nonstrict‐feedback form

“…Furthermore, it can be seen from system (1) that the control input u and the system states x are all contained in the nonlinear functions F ik (·) and G ik (·), which means that the nonstrict-feedback nonlinear system investigated in this paper is more general than those investigated in previous works. [28][29][30][31] We make the following assumptions. Assumption 1.…”

“…The stabilization and tracking control problems of switched nonlinear systems were the focus of the works by Chiang and Fu and Wang et al, where the nonswitching part of the systems considered in the former study includes feedback linearizable dynamics. Previous works() also developed adaptive controllers for switched nonlinear systems in nonstrict‐feedback form. An adaptive control approach was presented in the work of Long and Zhao for a class of switched multi‐input–multi‐output nonlinear systems with unknown gain signs.…”

“…Shen et al 22 designed a continuous observer for a class of multi-output nonlinear systems with multirate sampled and delayed output measurements.On the other hand, switched nonlinear systems have come to play an important role in the field of engineering during the past decades since many practical systems can be described by them, and many existing results on adaptive control for switched nonlinear systems have been reported in the literature. [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] Adaptive fuzzy output feedback controllers were designed in the works of Zhang and Yang 23 and Tong et al 24 for switched uncertain nonlinear systems with unknown dead zones. An adaptive control method was proposed in the work of Li and Yang 25 to stabilize a class of switched nonlinear systems with mismatched uncertainties.…”

Adaptive finite-time tracking control for a class of switched nonlinear systems with unmodeled dynamics

“…Switched system means a hybrid system that is composed of a family of continuous-time and discrete-time subsystems and a rule orchestrating the switching between the subsystems. Stabilization and tracking are fundamental problems in the research field of switched nonlinear systems [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Many significant methods have been proposed to solve these problems, such as common Lyapunov function method, multiple Lyapunov function method and dwell-time approach [6,14,15,17,18,20].…”

Adaptive tracking control for a class of non-affine switched stochastic nonlinear systems with unmodeled dynamics

“…To solve these problems, a number of significant methods have been proposed including the common Lyapunov function method, multiple Lyapunov function method and dwelltime approach [21][22][23][24][25][26][27][28][29]. For example, the adaptive tracking control problem of switched nonlinear systems was investigated in [24,25] by employing the common Lyapunov function method. Long [26] constructed an adaptive tracking controller for switched nonlinear systems in lower-triangular form by using the multiple Lyapunov function method.…”