State-feedback stabilization for stochastic high-order nonholonomic systems with Markovian switching

Fuzzy control in H-Bridge MLI for solar photovoltaic system to enhance load sharing

“…The above simulation shows that the trajectory y and d converge towards the origin and greater the value of a i and the smaller the value of k d , then the convergence rate of y is faster. The designed tactic lessens structures efficiently when compared with the previous methods introduced in earlier works [29][30][31][32] and a lesser controller gain is attained. Figures 2 to 6 show the performance for the bounded system, Figure 7 shows control angle d and a desired control performance is realized by controlling the parameter d as shown in Figure 7.…”

State‐Feedback Stabilization of Stochastic Nonholonomic Systems with an Unknown Time‐Varying Delay

“…en, based on the backstepping technique and quartic Lyapunov functions, many results have been obtained for stochastic nonlinear systems with different structures [3][4][5][6][7][8]. Specially, by using the stochastic Lyapunov-like theorem and backstepping design technique, the state or output-feedback stabilization for stochastic nonholonomic systems was obtained in [9][10][11][12][13][14]. Zhang et al [11] studied the problem of adaptive stabilization of stochastic nonholonomic systems with nonhomogeneous uncertainties.…”

“…Zhao et al [12] designed a state-feedback controller to stabilize a class of more general high-order stochastic nonholonomic systems. Du et al [13,14] studied the design of controllers for a class of stochastic high-order nonholonomic systems, which were considered to cancel the power order restriction in [12]. However, the aforementioned contributions have not taken into account the effect of time delay on the systems.…”

Output Feedback Stabilization for Stochastic Nonholonomic Systems under Arbitrary Switching

“…They mainly can be classified into two types. The first is state-feedback control: stabilization [13,14], adaptive stabilization [15][16][17][18], finite-time stabilization [19], stabilization with time-varying delays [20], and stabilization of mobile robots [21,22]. The second is the output feedback stabilization [23][24][25].…”

“…This will lead to a problem where the calculation of is very difficult, especially for ≥ 3, since the inequalities about were quintic. In addition, to the authors' knowledge, there are some results about state-feedback stabilization of SNSs with Markovian switching [13,14], with few available results for the output stabilization of SNSs under arbitrary switching. Based on the above analysis, there exists a problem, that is, how to choose a proper observer under arbitrary switching where the virtual control in controllers does not contain gain parameter , which causes the calculation of to be easier.…”