Global asymptotic stabilization of stochastic feedforward nonlinear systems with input time-delay

Abstract

The state-feedback stabilization problem of stochastic feedforward nonlinear systems with input time-delay is considered in this paper. By using the homogeneous domination idea and choosing an appropriate Lyapunov-Krasovskii functional, the delayindependent state-feedback controller is explicitly constructed such that the closed-loop system is globally asymptotically stable in probability. A simulation example is provided to demonstrate the effectiveness of the proposed design method.

Output feedback stabilization of stochastic feedforward nonlinear time‐delay systems with unknown output function

“…But it is a common assumption as in previous literatures. [8][9][10][11] It is easy to see that there are many functions satisfying Assumption 1, for example, n = 4, 1 = sin 3 + cos 4 , 1 = (sin 3 ) a 4 (0 < a < 1). Assumption 2 indicates a slowly time-varying condition often used in most of time-varying papers.…”

“…6,7 But all of these results are only limited to deterministic systems. Liu et al 8,9 construct state feedback controllers for stochastic feedforward nonlinear systems with time-varying delay and the input delay only appearing in the 266 How to cite this article: Xie X-J, Jiang M-M. Output feedback stabilization of stochastic feedforward nonlinear time-delay systems with unknown output function. Int J Robust Nonlinear Control.…”

Energy‐Based Controller Design of Stochastic Magnetic Levitation System

“…To this end, the stabilization problem of stochastic Hamiltonian system (7) is to be discussed first. Consider system (7). Choose Lyapunov function as…”

“…Therefore, more and more scholars and experts pay attention to the research of stability and control of stochastic nonlinear systems and a lot of research achievements have been made that greatly promoted the development of the system research [5][6][7][8][9]. In [9], the nonlinear stochastic H ∞ control of It̂-type differential systems with all the state, control input, and external disturbance is studied and a sufficient condition is given for the finite/infinite horizon H ∞ control of such a system by means of Hamilton-Jacobi inequality.…”

Adaptive Stabilization of Stochastic Nonlinear Systems Disturbed by Unknown Time Delay and Covariance Noise

“…Therefore, the control and design for stochastic nonlinear time-delay systems has been one of the active research topics and already obtained fruitful results [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. In [18][19][20][21][22], by using Lyapunov-Krasovskii functional method, the outputfeedback stabilization problems were solved for stochastic nonlinear systems with time delays only presenting in system output. References [23,24] considered the control problems of high-order stochastic nonlinear time-delay systems by introducing the adding a power integrator technique.…”