Global output feedback stabilization of a class of upper-triangular systems with input delay

2012 ◽  
Author(s):  
Haibo Du ◽  
Chunjiang Qian ◽  
Shihua Li ◽  
M. T. Frye
Keyword(s):  
Output Feedback ◽  
Feedback Stabilization ◽  
Input Delay ◽  
Output Feedback Stabilization ◽  
Triangular Systems

Further results on output-feedback stabilization of stochastic upper-triangular systems with state and input time-delays

2017 ◽  
Vol 40 (7) ◽  
pp. 2408-2415 ◽  
Author(s):  
Liang Liu ◽  
Shengyuan Xu ◽  
Xuejun Xie ◽  
Bing Xiao
Keyword(s):  
Output Feedback ◽  
Time Delays ◽  
Delay System ◽  
Feedback Stabilization ◽  
System Stability ◽  
Output Feedback Stabilization ◽  
Triangular Systems ◽  
Reduced Order Observer ◽  
Input Time ◽  
Stochastic Time

Based on stochastic time-delay system stability criterion and a homogeneous domination approach, the output-feedback stabilization problem for a class of more general stochastic upper-triangular systems with state and input time-delays has been solved in this paper. Firstly, the initial system is changed into an equivalent one with a designed scalar by introducing a set of coordinate transformations. After that, by designing an implementable homogeneous reduced-order observer, and tactfully selecting a suitable Lyapunov–Krasoviskii functional and a low gain scale, a delay-independent output-feedback controller is explicitly constructed. Finally, the globally asymptotically stability in probability of the closed-loop system is ensured by rigorous proof. The simulation results demonstrate the efficiency of the proposed design scheme.

scholarly journals Global Output Feedback Stabilization for a Class of Nonlinear Cascade Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-13
Author(s):  
Cai-Yun Liu ◽  
Zong-Yao Sun ◽  
Qing-Hua Meng ◽  
Chih-Chiang Chen ◽  
Bin Cai ◽  
...  
Keyword(s):  
Control Strategy ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Stabilization ◽  
The Novel ◽  
Closed Loop System ◽  
Cascade Systems ◽  
Output Feedback Stabilization ◽  
Triangular Systems ◽  
Double Domination

This paper focuses on the problem of global output feedback stabilization for a class of nonlinear cascade systems with time-varying output function. By using double-domination approach, an output feedback controller is developed to guarantee the global asymptotic stability of closed-loop system. The novel control strategy successfully constructs a unified Lyapunov function, which is suitable for both upper-triangular and lower-triangular systems. Finally, two numerical examples are provided to illustrate the effectiveness of a control strategy.

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.

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