Boundary Output Feedback Stabilization for a Cascaded-Wave PDE-ODE System with Velocity Recirculation

This paper considers the output feedback stabilization for a cascaded-wave PDE-ODE system with velocity recirculation by boundary control. First, we choose a well-known exponentially stable system as its target system and find a backstepping transformation to design a state feedback controller for the original system. Second, we attempt to give an output feedback controller for the original system by introducing the observer. The resulting closed-loop system admits a unique solution which is proved to be exponentially stable. Finally, we give some numerical examples to prove the validity for the theoretical results.

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

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnz022 ◽

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.

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On the Practical Output Feedback Stabilization for Nonlinear Uncertain Systems

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2009.14.2.14517 ◽

2009 ◽

Vol 14 (2) ◽

pp. 145-153 ◽

Cited By ~ 1

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.

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

Abstract and Applied Analysis ◽

10.1155/2014/865451 ◽

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.

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NN-Based Adaptive Output Feedback Stabilization via Passivation of MIMO Uncertain System

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.588-589.1527 ◽

2012 ◽

Vol 588-589 ◽

pp. 1527-1532

Author(s):

Yong Hong Zhu ◽

Jie Yao ◽

Jian Hong Wang

Keyword(s):

Output Feedback ◽

Uncertain System ◽

Original System ◽

Feedback Stabilization ◽

Closed Loop System ◽

Input Matrix ◽

Unknown Parameters ◽

Output Feedback Stabilization ◽

Nonlinear Input ◽

Adaptive Laws

An NN-based output feedback stabilization problem is studied via passivation of a class of multi-input multi-output nonlinear systems with unknown nonlinear input matrix and unknown parameters. Neural networks are used to identify unknown nonlinearities, and the update laws of weight parameters are proposed. The design methods of the adaptive passive controllers for this class of systems are discussed in the paper. The corresponding adaptive passive controllers and parametric adaptive laws are designed and presented respectively. It is proved that the closed-loop system composed of the original system and the designed controller is stable by the Lyapunov method, and the controller designed can render the closed system adaptive passive. Finally, a simulation example is given to prove the effectiveness and feasibility of the proposed method.

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Output feedback stabilization for a cascaded heat PDE-ODE system subject to uncertain disturbance

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4318 ◽

2018 ◽

Vol 28 (16) ◽

pp. 5173-5190

Author(s):

Yan-Na Jia ◽

Jun-Jun Liu ◽

Sheng-Jia Li

Keyword(s):

Output Feedback ◽

Feedback Stabilization ◽

Output Feedback Stabilization ◽

Ode System ◽

Uncertain Disturbance

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

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.4004600 ◽

2011 ◽

Vol 133 (6) ◽

Cited By ~ 5

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.

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

Abstract and Applied Analysis ◽

10.1155/2013/926971 ◽

2013 ◽

Vol 2013 ◽

pp. 1-10 ◽

Cited By ~ 3

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.

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Global Output Feedback Stabilization for a Class of Nonlinear Cascade Systems

Mathematical Problems in Engineering ◽

10.1155/2018/5185394 ◽

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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Circle and Popov Criterion for Output Feedback Stabilization of Uncertain Systems

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2006.11.2.14754 ◽

2006 ◽

Vol 11 (2) ◽

pp. 137-148 ◽

Cited By ~ 1

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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