Using an adaptive reduced-order observer for output feedback stabilization of uncertain cascade systems

2006 ◽  
Author(s):  
Hao Lei ◽  
Wei Lin
Keyword(s):  
Output Feedback ◽  
Feedback Stabilization ◽  
Reduced Order ◽  
Cascade Systems ◽  
Output Feedback Stabilization ◽  
Reduced Order Observer

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.

scholarly journals Adaptive Output Feedback Stabilization of Random Nonlinear Systems with Unmodeled Dynamics Driven by Colored Noise

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Mingyue Cui
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Colored Noise ◽  
Stability Margin ◽  
Feedback Stabilization ◽  
Unmodeled Dynamics ◽  
Tuning Parameters ◽  
Output Feedback Stabilization ◽  
Control Scheme ◽  
Reduced Order Observer

This paper focuses on the problem of adaptive output feedback stabilization for random nonlinear systems with unmodeled dynamics and uncertain nonlinear functions driven by colored noise. Under the assumption of unmodeled dynamics having enough stability margin, an adaptive output feedback stabilization controller is designed based on a reduced-order observer such that the state of the closed-loop system has an asymptotic gain in the 2-th moment (AG-2-M) and the mean square of the output can be made arbitrarily small by tuning parameters. A simulation example is used to illustrate the effectiveness of the control scheme.

scholarly journals Global Output Feedback Stabilization of Nonlinear Systems with a Time-Varying Power and Unknown Output Function

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Chao Guo ◽  
Kemei Zhang
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Feedback Stabilization ◽  
Time Varying ◽  
Output Function ◽  
Adding A Power Integrator ◽  
Output Feedback Stabilization ◽  
Open Sector ◽  
Continuous Output ◽  
Reduced Order Observer

This paper studies the problem of global output feedback stabilization for a class of nonlinear systems with a time-varying power and unknown output function. For nonlinear systems with a time-varying power and unknown continuous output function, by constructing a new nonlinear reduced-order observer together with adding a power integrator method, a new function to determine the maximal open sector Ω of output function is given. As long as output function belongs to any closed sector included in Ω, it is shown that the equilibrium point of the closed-loop system can be guaranteed globally uniformly asymptotically stable by an output feedback controller.

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