scholarly journals Global Finite-Time Output Feedback Stabilization for a Class of Uncertain Nonholonomic Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Baojian Du ◽  
Fangzheng Gao ◽  
Fushun Yuan
Keyword(s):  
Output Feedback ◽  
Finite Time ◽  
Closed Loop ◽  
Output Feedback Control ◽  
Design Procedure ◽  
Nonholonomic Systems ◽  
Feedback Stabilization ◽  
Closed Loop System ◽  
Output Feedback Stabilization ◽  
Switching Control Strategy

This paper investigates the problem of global finite-time stabilization by output feedback for a class of nonholonomic systems in chained form with uncertainties. By using backstepping recursive technique and the homogeneous domination approach, a constructive design procedure for output feedback control is given. Together with a novel switching control strategy, the designed controller renders that the states of closed-loop system are regulated to zero in a finite time. A simulation example is provided to illustrate the effectiveness of the proposed approach.

scholarly journals Output-Feedback Stabilization Control of Systems with Random Switchings and State Jumps

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Wei Qian ◽  
Shen Cong ◽  
Zheng Zheng
Keyword(s):  
Output Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Feedback Stabilization ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Output Feedback Stabilization ◽  
Stabilization Control ◽  
Exponentially Stable

The work is concerned with output-feedback stabilization control problem for a class of systems with random switchings and state jumps. The switching signal is supposed to obey Poisson distribution. Firstly, based on the asymptotical property of the distribution of switching points, we derive some sufficient conditions to guarantee the closed-loop system to be almost surely exponentially stable. Then, we pose a parametrization approach to convert the construction conditions of the output-feedback control into a family of matrix inequalities. Finally, a simulation example is given to demonstrate the effectiveness of our method.

Boundary output feedback stabilization of transport equation with non-local term

2019 ◽  
Vol 37 (3) ◽  
pp. 752-764
Author(s):  
Liping Wang ◽  
Feng-Fei Jin
Keyword(s):  
Transport Equation ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Closed Loop System ◽  
Output Feedback Stabilization ◽  
Exponentially Stable ◽  
Non Local ◽  
Local Term

Abstract In this paper, we are concerned with boundary output feedback stabilization of a transport equation with non-local term. First, a boundary state feedback controller is designed by a backstepping approach. The closed-loop system is proved to be exponentially stable by the equivalence between original and target system. Then, we design an output feedback controller based on an infinite-dimensional observer. It is shown that the result closed-loop system is also exponentially stable. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed feedback controller.

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.

Semiglobal Output Feedback Stabilization of a Generalized Class of MIMO Nonlinear Systems

2011 ◽  
Vol 133 (6) ◽  
Author(s):  
Junyong Zhai ◽  
Chunjian Qian ◽  
Hui Ye
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Stabilization ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Feedback Controllers ◽  
Output Feedback Stabilization ◽  
Mismatched Uncertainties ◽  
Semiglobal Stabilization

This paper considers the problem of semiglobal stabilization by output feedback for a class of generalized multi-input and multi-output uncertain nonlinear systems. Due to the presence of mismatched uncertainties and the lack of triangularity condition, the systems under consideration are not uniformly completely observable. Combining the output feedback domination approach and block-backstepping scheme together, a series of linear output feedback controllers are constructed recursively for each subsystems and the closed-loop system is rendered semiglobally asymptotically stable.

scholarly journals On the Practical Output Feedback Stabilization for Nonlinear Uncertain Systems

2009 ◽  
Vol 14 (2) ◽  
pp. 145-153 ◽  
Author(s):  
A. Benabdallah
Keyword(s):  
Output Feedback ◽  
Uncertain Systems ◽  
Closed Loop ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Practical Stability ◽  
Closed Loop System ◽  
Output Feedback Controller ◽  
Output Feedback Stabilization ◽  
Nonlinear Uncertain Systems

In this paper, we treat the problem of output feedback stabilization of nonlinear uncertain systems. We propose an output feedback controller that guarantees global uniform practical stability of the closed loop system.

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.

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