Time-varying control of a class of nonholonomic systems

2002 ◽  
Author(s):  
Yu-Ping Tian ◽  
Shihua Li
Keyword(s):  
Nonholonomic Systems ◽  
Time Varying

Adaptive state-feedback stabilization of stochastic nonholonomic systems with an unknown time-varying delay and perturbations

2020 ◽  
pp. 014233122097417
Author(s):  
Qinghui Du
Keyword(s):  
State Feedback ◽  
Nonholonomic Systems ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Input State ◽  
Time Varying ◽  
Initial State ◽  
State Feedback Controller ◽  
Time Varying Delay ◽  
Varying Delay

The problem of adaptive state-feedback stabilization of stochastic nonholonomic systems with an unknown time-varying delay and perturbations is studied in this paper. Without imposing any assumptions on the time-varying delay, an adaptive state-feedback controller is skillfully designed by using the input-state scaling technique and an adaptive backstepping control approach. Then, by adopting the switching strategy to eliminate the phenomenon of uncontrollability, the proposed adaptive state-feedback controller can guarantee that the closed-loop system has an almost surely unique solution for any initial state, and the equilibrium of interest is globally asymptotically stable in probability. Finally, the simulation example shows the effectiveness of the proposed scheme.

A composite feedback approach to stabilize nonholonomic systems with time varying time delays and nonlinear disturbances

2020 ◽  
Vol 101 ◽  
pp. 177-188 ◽  
Author(s):  
Somayieh Rasoolinasab ◽  
Saleh Mobayen ◽  
Afef Fekih ◽  
Pritesh Narayan ◽  
Yufeng Yao
Keyword(s):  
Time Delays ◽  
Nonholonomic Systems ◽  
Time Varying ◽  
Nonlinear Disturbances

Adaptive stabilization of stochastic nonholonomic systems with uncertain parameters and time-varying coefficients

2014 ◽  
Vol 47 (3) ◽  
pp. 5734-5739
Author(s):  
Chaoli Wang ◽  
Guoliang Wei ◽  
Hengjun Zhang ◽  
Dongkai Zhang ◽  
Zijing Wang ◽  
...  
Keyword(s):  
Nonholonomic Systems ◽  
Uncertain Parameters ◽  
Time Varying ◽  
Adaptive Stabilization ◽  
Varying Coefficients ◽  
Time Varying Coefficients

scholarly journals State-Feedback Stabilization of Stochastic Nonholonomic Systems with an Unknown Time-Varying Delay

2019 ◽  
Vol 2019 ◽  
pp. 1-16
Author(s):  
Qinghui Du ◽  
Qianqian Cui ◽  
Dongkai Zhang
Keyword(s):  
State Feedback ◽  
Nonholonomic Systems ◽  
Feedback Stabilization ◽  
Input State ◽  
Time Varying ◽  
Initial State ◽  
Globally Asymptotically Stable ◽  
Control Approach ◽  
Time Varying Delay ◽  
Varying Delay

This paper investigates the state-feedback stabilization of stochastic nonholonomic systems with an unknown time-varying delay. Without imposing any assumptions on the time-varying delay, a state-feedback controller is skillfully designed by using input-state-scaling technique and backstepping control approach. The switching strategy is proposed to eliminate the phenomenon of uncontrollability and to guarantee that the closed-loop system has an almost surely unique solution for any initial state and the equilibrium of interest is globally asymptotically stable in probability. A simulation example demonstrates the effectiveness of the proposed scheme.

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