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Vibration Boundary Control for a One-Dimensional Flexible Beam system With Restricted Input

IEEE ACCESS 2018年 6卷 43336-43342页

作者： Zhao, Zhijia Ma, Yonghao Ren, Zhigang Tang, Chunming Wen, Guilin Guangzhou Univ Sch Mech Elect Engn Guangzhou 510006 Guangdong Peoples R China Guangzhou Univ Adv Technol Ctr Special Equipment Guangzhou 510006 Guangdong Peoples R China Guangdong Univ Technol Sch Automat Guangzhou 510006 Guangdong Peoples R China Guangzhou Univ Sch Math & Informat Sci Guangzhou 510006 Guangdong Peoples R China

This paper studies a boundary control problem of a 1-D flexible beam. The objective is to design an efficient boundary controller to suppress the undesired vibration of the 1-D flexible beam with restricted input. A novel boundary controller is developed to suppress the vibration and stabilize the beam system. The effect of the restricted input can be mitigated by employing a smooth hyperbolic tangent function and the boundary controller proposed in this paper can not only avoid the control spillover phenomenon, but also guarantee the asymptotic stability of the closed-loop system. The numerical results are finally illustrated to validate the effectiveness of our methodology.

关键词： distributed parameter system boundary control vibration control flexible system

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Vibration control of aero two-blade propeller with input and output constraints based on PDE model

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AEROSPACE SCIENCE AND TECHNOLOGY 2019年 93卷 105291-000页

作者： Xing, Xueyan Liu, Jinkun Beihang Univ Sch Automat Sci & Elect Engn Beijing Peoples R China

In this study, the two-blade aero propeller is regarded as a distributed parameter system whose dynamics is fully described by partial differential equations (PDEs), taking into account all the system modal information. Then a control approach relying upon the backstepping technology is designed to steer the vibration of the propeller system to a small region even subject to external disturbances and modeling uncertainties. With the help of the proposed control, both input and output constraints of the system can be guaranteed via barrier Lyapunov functions (BLFs) and hyperbolic tangent functions. Utilizing the Lyapunov's direct method, the system stability is verified and the effectiveness of the proposed control scheme is illustrated by numerical simulations. (C) 2019 Elsevier Masson SAS. All rights reserved.

关键词： distributed parameter system Vibration control Input constraints Output constraints Backstepping technology Two-blade aero propeller

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Sliding mode boundary control for vibration suppression in a pinned-pinned Euler-Bernoulli beam with disturbances

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JOURNAL OF VIBRATION AND CONTROL 2018年第6期24卷 1109-1122页

作者： Karagiannis, Dimitri Radisavljevic-Gajic, Verica Villanova Univ Ctr Nonlinear Dynam & Control CENDAC Dept Mech Engn Villanova PA 19085 USA

This work addresses the control of a pinned-pinned beam represented by the fourth order partial differential equation commonly known as the Euler-Bernoulli beam model. The system under consideration has pinned boundary conditions on one end (displacement and bending moment fixed at zero) and controlled boundary conditions on the other end (displacement and bending moment are prescribed by control functions). There are also unknown bounded disturbances included on the controlled boundary. A backstepping control technique which introduces arbitrary damping into the system is discussed, and a method for applying this control in the presence of unknown disturbances is developed using sliding mode control theory. Sliding mode controllers are developed in a way that does not create a chattering effect, which is a common issue with sliding mode control. Simulation results are presented to show how the system dampens out vibrations at an arbitrarily determined rate and how the control functions respond to unmodeled disturbances.

关键词： Boundary control distributed parameter system sliding mode control beam vibrations vibration control partial differential equation control Euler Bernoulli beam

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Robust adaptive vibration control for a string with time-varying output constraint

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2018年第17期28卷 5213-5231页

作者： He, Wei Jing, Zhe He, Xiuyu Liu, Jin-Kun Sun, Changyin Univ Sci & Technol Beijing Key Lab Knowledge Automat Ind Proc Minist Educ Sch Automat & Elect EngnInst Artificial Intellig Beijing Peoples R China Beihang Univ Sch Automat Sci & Elect Engn Beijing Peoples R China Southeast Univ Sch Automat Nanjing Jiangsu Peoples R China

In this paper, we present the vibration control design for a string with the boundary time-varying output constraint. The dynamics of the string is a distributed parameter system described by a partial differential equation and two ordinary differential equations. A barrier Lyapunov function with a logarithmic function is adopted to prevent the time-varying constraint violations. Adaptive control is designed to handle the system parametric uncertainties. Stability analysis and the solvability of the inequality equations are provided. Numerical simulations are provided to illustrate the effectiveness of the proposed control design.

关键词： boundary control distributed parameter system flexible structures time-varying output constraint vibration control

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Robust output feedback stabilization for a flexible marine riser system

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ISA TRANSACTIONS 2018年 78卷 130-140页

作者： Zhao, Zhijia Liu, Yu Guo, Fang South China Univ Technol Sch Automat Sci & Engn Guangzhou 510640 Guangdong Peoples R China Guangzhou Univ Sch Mech & Elect Engn Guangzhou 510006 Guangdong Peoples R China Univ Nebraska Lincoln Dept Elect & Comp Engn Lincoln NE 68588 USA

The aim of this paper is to develop a boundary control for the vibration reduction of a flexible marine riser system in the presence of parametric uncertainties and system states obtained inaccurately. To this end, an adaptive output feedback boundary control is proposed to suppress the riser's vibration fusing with observer-based backstepping, high-gain observers and robust adaptive control theory. In addition, the parameter adaptive laws are designed to compensate for the system parametric uncertainties, and the disturbance observer is introduced to mitigate the effects of external environmental disturbance. The uniformly bounded stability of the closed-loop system is achieved through rigorous Lyapunov analysis without any discretisation or simplification of the dynamics in the time and space, and the state observer error is ensured to exponentially converge to zero as time grows to infinity. In the end, the simulation and comparison studies are carried out to illustrate the performance of the proposed control under the proper choice of the design parameters. (C) 2017 ISA. Published by Elsevier Ltd. All rights reserved.

关键词： Flexible marine riser Boundary control Robust adaptive control Output feedback control distributed parameter system

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Disturbance observer design and vibration control for a flexible aircraft wing

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TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL 2018年第13期40卷 3760-3773页

作者： Zhang, Yuanyuan Liu, Jinkun He, Wei Beijing Univ Aeronaut & Astronaut Sch Automat Sci & Elect Engn Beihang Univ Beijing 100191 Peoples R China Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing Peoples R China Univ Sci & Technol Beijing Minist Educ Key Lab Knowledge Automat Ind Proc Beijing Peoples R China

This study focuses on the disturbance observer design and vibration control problems for a flexible aircraft wing system. The flexible aircraft wing is modeled as a coupled twist-bending infinite dimensional distributed parameter system. The dynamic equations and boundary conditions are described by partial differential equations and ordinary differential equations, respectively. In this paper, an infinite dimensional disturbance observer is proposed to estimate both the boundary disturbances and the distributed spatiotemporally varying disturbances. Considering the coupling between the bending deformation and the twist deformation, a boundary controller is proposed to suppress the vibration and inhibit the adverse effects of external disturbances. By using the proposed disturbance observer and controller, the uniform boundednesss of the closed-loop system is validated through theoretical analysis. Finally, simulation results are carried out to illustrate the effectiveness of the proposed infinite dimensional disturbance observer and boundary controller.

关键词： Infinite dimensional disturbance observer flexible aircraft wing boundary control distributed parameter system partial differential equation

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Vibration Suppression of a Flexible Riser by Boundary Iterative Learning Control

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IEEE ACCESS 2019年 7卷 130262-130269页

作者： Liu, Yu Zhang, Qiongyao Fu, Yun South China Univ Technol Sch Automat Sci & Engn Guangzhou 510640 Guangdong Peoples R China

This paper studies the vibration suppression problem of nonlinear flexible riser systems subjected to external disturbances. For suppressing the vibration and improving the control precision, a novel joint control method which includes boundary control and iterative learning control (ILC) is raised, via finite-dimensional backstepping control and Lyapunov's direct method. Iteration term is first designed in discrete domain and then transformed into continuous time domain Under the action of the proposed boundary-ILC, the uniform boundedness of closed-loop system state and the convergence of the system output are proved by using Lyapunov synthesis. Finally, simulation results are provided to illustrate the effectiveness of the formulated control approach.

关键词： Iterative learning control boundary control backstepping control flexible riser distributed parameter system

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Heat exchanger system boundary regulation

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AICHE JOURNAL 2019年第8期65卷 e16623-e16623页

作者： Cassol, Guilherme Ozorio Ni, Dong Dubljevic, Stevan Univ Alberta Dept Chem & Mat Engn Edmonton AB T6G 2V4 Canada Zhejiang Univ Coll Control Sci & Engn Hangzhou Zhejiang Peoples R China

The boundary feedback regulator design for heat exchangers with delayed feedback is developed. Counter-flow/parallel-flow heat exchanger systems described by a pair of coupled transport hyperbolic partial differential equations (PDEs) with delayed boundary feedback loop modeled by the boundary time lag are considered. The coupled transport hyperbolic PDEs and boundary delay by application of boundary transformation are transformed in the corresponding linear infinite-dimensional system utilized in the regulator design. The regulator design initially addresses a full state feedback controller realization augmented by the observer design to achieve simultaneously output exponential stabilization as well as tracking and disturbance rejection of polynomial and/or harmonic type of reference signals. The simulations studies demonstrate the proposed design for counter-flow and parallel-flow heat exchangers, two common configurations present in industrial practice.

关键词： boundary control distributed parameter system disturbance rejection regulation time delay tracking transport hyperbolic partial differential equation

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On approximation and implementation of transformation based feedback laws for distributed parameter systems

On approximation and implementation of transformation based ...

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20th World Congress of the International-Federation-of-Automatic-Control (IFAC)

作者： Woittennek, Frank Riesmeier, Marcus Ecklebe, Stefan Univ Hlth Sci Med Informat & Technol Inst Automat & Control Engn A-6060 Hall In Tirol Austria Tech Univ Dresden Inst Control Theory D-01069 Dresden Germany

This paper presents an approach for the efficient numerical implementation of transformation based state feedback laws for linear distributed parameter systems. The control laws considered may originate from backstepping or flatness-based design methods. They are, therefore, directly based on the underlying distributed parameter systems. In general, they are given as unbounded functionals on the infinite-dimensional state-space. By approximating a carefully chosen bounded part, the implementation of these feedback-operators can be considerably simplified. This is achieved by approximating the state in appropriate finite dimensional sub-spaces of the state-space. The choice of these sub-spaces as well as the controller implementation are discussed for both, a particular motivating example specific and the general case. For the implementation and validation of the obtained approximated controllers the python-based software toolbox Pylnduct is introduced. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed parameter system parabolic system hyperbolic system state feedback flatness backstepping late lumping feedback control

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Mathematical Modeling of a Plasmonic Palladium-Based Hydrogen Sensor

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IEEE SENSORS JOURNAL 2018年第5期18卷 1946-1959页

作者： Teutsch, Tanja Strohfeldt, Nikolai Sterl, Florian Warsewa, Alexander Herkert, Ediz Paone, Domenico Giessen, Harald Tarin, Cristina Univ Stuttgart Inst Syst Dynam D-70569 Stuttgart Germany Univ Stuttgart Res Ctr SCoPE D-70569 Stuttgart Germany Univ Stuttgart Phys Inst 4 D-70569 Stuttgart Germany

The presented plasmonic palladium-based perfect absorber hydrogen sensor is used to detect hydrogen via measured reflectance spectra. The perfect absorber geometry enables a highly sensitive, cost-effective, miniatuarizable, and purely optical detection system. Through fiber optics, this scheme allows for a clear separation of the detector and all electronic components rendering it inherently safe, even in explosive environments. The sensor has a complex transient behavior, which exhibits temperature-dependence, nonlinearities, and hysteresis. This transient behavior is mathematically represented by a physically motivated model. The derived model is a distributed parameter system, which considers the dispersed hydrogen diffusion in the palladium and describes the nonlinear input and linear output characteristics. Experimental measurements are conducted at 25 degrees C, 30 degrees C, and 40 degrees C to identify the model parameters and to show the model accuracy.

关键词： Sensor phenomena and characterization nonlinear dynamical systems distributed parameter system hydrogen gas detector optical sensors localized surface plasmon resonance

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