Linear Feedback Stabilization of Arbitrary Time Varying Uncertain Systems

1992 ◽  
Author(s):  
Keqin Gu
Keyword(s):  
Uncertain Systems ◽  
Feedback Stabilization ◽  
Linear Feedback ◽  
Time Varying ◽  
Arbitrary Time

A SEPARATION PRINCIPLE OF TIME‐VARYING DYNAMICAL SYSTEMS: A PRACTICAL STABILITY APPROACH

2007 ◽  
Vol 12 (3) ◽  
pp. 297-308 ◽  
Author(s):  
Ines Ellouze
Keyword(s):  
Dynamical Systems ◽  
Integrable Function ◽  
Feedback Stabilization ◽  
Practical Stability ◽  
Linear Feedback ◽  
Time Varying ◽  
Separation Principle ◽  
Nominal System ◽  
Time Varying Systems

In this paper we treat the problem of practical feedback stabilization for a class of nonlinear time‐varying systems by means of an observer. A separation principle is given under a restriction about the perturbed term that the perturbation is bounded by an integrable function where the nominal system is supposed to be globally asymptotically stabilizable by a linear feedback. A practical stability approach is obtained. Furthermore, we give an example to show the applicability of our result.

Circle and Popov Criterion for Output Feedback Stabilization of Uncertain Systems

2006 ◽  
Vol 11 (2) ◽  
pp. 137-148 ◽  
Author(s):  
A. Benabdallah ◽  
M. A. Hammami
Keyword(s):  
Dynamical Systems ◽  
Output Feedback ◽  
Uncertain Systems ◽  
Feedback Stabilization ◽  
Stabilizing Controller ◽  
Nominal System ◽  
Output Feedback Stabilization ◽  
Uncertain Dynamical Systems

In this paper, we address the problem of output feedback stabilization for a class of uncertain dynamical systems. An asymptotically stabilizing controller is proposed under the assumption that the nominal system is absolutely stable.

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.

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