Fuzzy Adaptive Tracking Control of Constrained Nonlinear Switched Stochastic Pure-Feedback Systems

Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics

“…Adaptive backstepping control was presented by introducing a symmetric nonlinear mapping for a class of strict-feedback nonlinear systems with unit control gain and output constraint (Guo & Wu, 2014). Furthermore, this method was extended to a class of constrained nonlinear switched stochastic pure-feedback systems in Yin, Yu, Shahnazi, and Haghani (2016). However, the given proof was questionable under the stochastic case for output constraint.…”

“…Although the problem of adaptive NN control has been widely investigated by using BLF or nonlinear mapping for several classes of nonlinear systems with output constraint or full state constraints and unmeasured states (Guo & Wu, 2014;He et al, 2016He et al, , 2015Kim & Yoo, 2014;Liu et al, 2015;Meng et al, 2015;Qiu et al, 2015;Ren et al, 2010;Tee et al, 2009Yin et al, 2016), their considered systems did not include unmodeled dynamics and dynamical uncertainties. In this paper, by introducing a nonlinear mapping, adaptive NN control is developed by combining DSC with backstepping method.…”

“…It should be pointed out that the proposed approach is effective for pure-feedback nonlinear systems with full state constraints and unmodeled dynamics. (ii) Compared with using barrier Lyapunov function of integral or logarithm type (Kim & Yoo, 2014;Tee et al, 2009, the adaptive controller proposed by using an asymmetric nonlinear mapping is simpler in this paper, moreover, the proposed design method removes the conditions that the virtual control gains and control gain are known (Liu et al, 2015;Qiu et al, 2015;Tee et al, 2009, and the approximation errors are assumed to be bounded before the stability is proved (He et al, 2016;Kim & Yoo, 2014;Ren et al, 2010;Yin et al, 2016).…”

Sampled‐data output feedback stabilization for a class of switched stochastic nonlinear systems

“…In the past decades, switched systems have become a research hot spot for its importance from one aspect that lots of industrial and physical systems, such as stirred tank reactor systems and single‐link manipulator systems, can be described as switched systems, which exhibits switching among subsystems relying on environmental factors. The existence of a common Lyapunov function is necessary for the whole subsystems if a switched system wants to keep stable under arbitrary switchings . Common Lyapunov function method was adopted in other works to realize stabilization or tracking of switched nonlinear systems.…”

Funnel‐like prescribed tracking control for uncertain nonlinear stochastic switched systems

“…In recent years, much effort has been made to deal with the stability and stabilization problems of switched systems, see other works and the references therein. By means of the universal function approximator, such as fuzzy logic systems (FLSs) or neural networks, the state feedback control problem of uncertain switched systems was studied in other works . Note that partial state information of many switched systems cannot be available for measurement in practice; some attempts have been devoted to solve the output feedback control problem for switched systems .…”