scholarly journals Output feedback stabilization of an underactuated cascade network of interconnected linear PDE systems using a backstepping approach

Automatica ◽  
2020 ◽  
Vol 117 ◽  
pp. 108964
Author(s):  
Jean Auriol
Keyword(s):  
Output Feedback ◽  
Feedback Stabilization ◽  
Output Feedback Stabilization ◽  
Backstepping Approach ◽  
Linear Pde ◽  
Pde Systems

scholarly journals Adaptive Output Feedback Stabilization of Nonholonomic Systems with Nonlinear Parameterization

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yanling Shang ◽  
Ye Yuan ◽  
Fushun Yuan
Keyword(s):  
Output Feedback ◽  
Design Procedure ◽  
Nonholonomic Systems ◽  
Feedback Stabilization ◽  
Nonlinear Parameterization ◽  
Output Feedback Stabilization ◽  
Backstepping Approach ◽  
Nonlinearly Parameterized ◽  
System States ◽  
Parameter Separation

This paper investigates the problem of adaptive output feedback stabilization for a class of nonholonomic systems with nonlinear parameterization and strong nonlinear drifts. A parameter separation technique is introduced to transform nonlinearly parameterized system into a linear-like parameterized system. Then, by using the integrator backstepping approach based on observer and parameter estimator, a constructive design procedure for output feedback adaptive control is given. And a switching strategy is developed to eliminate the phenomenon of uncontrollability. It is shown that, under some conditions, the proposed controller can guarantee that all the system states globally converge to the origin, while other signals remain bounded. An illustrative example is also provided to demonstrate the effectiveness of the proposed scheme.

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.

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 Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization

Automatica ◽  
2021 ◽  
Vol 125 ◽  
pp. 109436
Author(s):  
Khadidja Chaib-Draa ◽  
Ali Zemouche ◽  
Fazia Bedouhene ◽  
Rajesh Rajamani ◽  
Yan Wang ◽  
...  
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Finite Time ◽  
Time Estimation ◽  
Feedback Stabilization ◽  
Estimation Algorithms ◽  
Output Feedback Stabilization ◽  
Discrete Time Systems ◽  
Time Systems
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