Multi‐dimensional Taylor network‐based control for a class of nonlinear stochastic systems with full state time‐varying constraints and the finite‐time output constraint

2022 ◽  
Author(s):  
Ming‐Xin Wang ◽  
Shan‐Liang Zhu ◽  
Yu‐Qun Han
Keyword(s):  
Finite Time ◽  
Stochastic Systems ◽  
Time Varying ◽  
Nonlinear Stochastic Systems ◽  
State Time ◽  
Full State ◽  
Output Constraint

scholarly journals Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Yangang Yao ◽  
Jieqing Tan ◽  
Jian Wu
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Tracking Control ◽  
State Constraints ◽  
Unmodeled Dynamics ◽  
Time Varying ◽  
Cubic Form ◽  
Time Control ◽  
Full State ◽  
Full State Constraints

The problem of finite-time tracking control is discussed for a class of uncertain nonstrict-feedback time-varying state delay nonlinear systems with full-state constraints and unmodeled dynamics. Different from traditional finite-control methods, a C 1 smooth finite-time adaptive control framework is introduced by employing a smooth switch between the fractional and cubic form state feedback, so that the desired fast finite-time control performance can be guaranteed. By constructing appropriate Lyapunov-Krasovskii functionals, the uncertain terms produced by time-varying state delays are compensated for and unmodeled dynamics is coped with by introducing a dynamical signal. In order to avoid the inherent problem of “complexity of explosion” in the backstepping-design process, the DSC technology with a novel nonlinear filter is introduced to simplify the structure of the controller. Furthermore, the results show that all the internal error signals are driven to converge into small regions in a finite time, and the full-state constraints are not violated. Simulation results verify the effectiveness of the proposed method.

New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay

2018 ◽  
Vol 16 (2) ◽  
pp. 649-658 ◽  
Author(s):  
Lihua Zhang ◽  
Wenhai Qi ◽  
Yonggui Kao ◽  
Xianwen Gao ◽  
Longjiang Zhao
Keyword(s):  
Finite Time ◽  
Stochastic Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Finite Time Stabilization ◽  
Varying Delay

scholarly journals Constrained controllability of nonlinear stochastic impulsive systems

2011 ◽  
Vol 21 (2) ◽  
pp. 307-316 ◽  
Author(s):  
Shanmugasundaram Karthikeyan ◽  
Krishnan Balachandran
Keyword(s):  
Fixed Point ◽  
Finite Time ◽  
Stochastic Systems ◽  
Time Interval ◽  
Complete Controllability ◽  
Finite Time Interval ◽  
Impulsive Systems ◽  
Nonlinear Stochastic Systems ◽  
Constrained Controllability ◽  
Point Argument

Constrained controllability of nonlinear stochastic impulsive systemsThis paper is concerned with complete controllability of a class of nonlinear stochastic systems involving impulsive effects in a finite time interval by means of controls whose initial and final values can be assigned in advance. The result is achieved by using a fixed-point argument.

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