Rule-Based Incremental Control and Nonholonomic Systems: Time-Varying State Feedback Versus Motion Planning

1996 ◽  
Vol 29 (1) ◽  
pp. 8119-8124 ◽  
Author(s):  
D. Luzeaux ◽  
S. Meunier
Author(s):  
Qinghui Du

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.


2019 ◽  
Vol 2019 ◽  
pp. 1-16
Author(s):  
Qinghui Du ◽  
Qianqian Cui ◽  
Dongkai Zhang

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.


2012 ◽  
Vol 461 ◽  
pp. 763-767
Author(s):  
Li Fu Wang ◽  
Zhi Kong ◽  
Xin Gang Wang ◽  
Zhao Xia Wu

In this paper, following the state-feedback stabilization for time-varying systems proposed by Wolovich, a controller is designed for the overhead cranes with a linearized parameter-varying model. The resulting closed-loop system is equivalent, via a Lyapunov transformation, to a stable time-invariant system of assigned eigenvalues. The simulation results show the validity of this method.


2021 ◽  
Vol 64 (10) ◽  
Author(s):  
Xiaobin Xu ◽  
Zhuochen Yu ◽  
Jiusun Zeng ◽  
Wanqi Xiong ◽  
Yanzhu Hu ◽  
...  
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