Reliable asynchronous sampled-data filtering of T–S fuzzy uncertain delayed neural networks with stochastic switched topologies

Finite time command filtered adaptive fault tolerant control for a class of uncertain nonlinear systems

The decentralized control problem is considered for a class of nonlinear time-varying interconnected systems. Each subsystem is with the dead-zone input and unmodeled dynamics. The interconnections are bounded by time-varying nonlinear functions, which relaxes the commonly used linear condition or time-invariant condition. Based on the recursive method, we design a new decentralized finite-time controller such that all the state variables reach zero in finite time. The reaching time is based on the design parameters and initial value of system state. Furthermore, the fixed time stability conditions are given and the constructed controller can guarantee the fixed-time stabilization of the system, in which the reaching time only depends the control design parameters. Finally, simulation results are presented to illustrate the effectiveness of proposed method.

Finite/Fixed-Time Stabilization for Nonlinear Interconnected Systems With Dead-Zone Input

Fast finite-time stability and its application in adaptive control of high-order nonlinear system

Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers

Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form

Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function

Adaptive output feedback control of stochastic nonholonomic systems with nonlinear parameterization

This article studies the adaptive state feedback stabilization problem of stochastic nonlinear systems with many uncertainties, such as parametric uncertainties, time-varying delay, unknown powers, and stochastic inverse dynamics By virtue of the adding-a-power-integrator technique, an adaptive control scheme together with a novel state feedback control law is proposed to deal with these unknowns Compared with the existing literature, both of adaptive dynamics, higher and lower powers are introduced into the construction of our controller Based on some ideas of Lyapunov function, we analyze the global stabilization of the whole system Finally, a simulation example is given to show the effectiveness of our theoretical results

Global Stabilization of a Class of Stochastic Nonlinear Time-Delay Systems With SISS Inverse Dynamics

The problem of designing $C^1$ or $C^\infty$ controllers for a class of stochastic nonlinear systems (SNSs) in lower-triangular form is studied in this note. By using the well-known backstepping method, the concept of homogeneity with monotone degrees (HWMD) and the sign function approach, we construct a $C^1$ state feedback controller recursively. Meanwhile, by employing a polynomial Lyapunov function with sign functions, we prove that the solution to SNSs is globally asymptotically stable in probability. Furthermore, based on the concept of HWMD, it shows that $C^1$ controllers for a class of three-dimensional SNSs can be modified to $C^{\infty }$ controllers under certain conditions. Finally, two simulation examples are given to demonstrate the effectiveness of the proposed controllers.

Hui Wang

Papers

Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form

Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function

Adaptive output feedback control of stochastic nonholonomic systems with nonlinear parameterization

Global Stabilization of a Class of Stochastic Nonlinear Time-Delay Systems With SISS Inverse Dynamics

Global Stabilization of Stochastic Nonlinear Systems Via $C^1$ and $C^{\infty }$ Controllers