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Robust adaptive fault tolerant control for a linear cascaded ODE-beam system

AUTOMATICA 2018年 98卷 42-50页

作者： Liu, Zhijie Liu, Jinkun He, Wei Beihang Univ Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China

In this paper, we present fault tolerant control design for a class of cascaded systems described by ordinary differential equations (ODEs) and an Euler-Bernoulli beam (EBB). The objective of this study is to design a robust adaptive fault tolerant control such that the global stability of the resulting closed loop cascaded system is ensured and asymptotic tracking can be achieved subject to actuator failures, parameter uncertainty and external disturbances. The Lyapunov's direct method is used to design the control schemes and prove the stability of the closed-loop system. Finally, the results are illustrated using numerical simulations for control performance verification. (C) 2018 Elsevier Ltd. All rights reserved.

关键词： Cascaded systems distributed parameter system Euler-Bernoulli beam Fault tolerant control Actuator failures

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Analytical Study and Stability Design of a 3-D Fuzzy Logic Controller for Spatially distributed Dynamic systems

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IEEE TRANSACTIONS ON FUZZY systemS 2008年第6期16卷 1613-1625页

作者： Zhang, Xian-Xia Li, Han-Xiong Li, Shao-Yuan Shanghai Jiao Tong Univ Inst Automat Shanghai 200240 Peoples R China City Univ Hong Kong Dept Mfg Engn & Engn Management Kowloon Hong Kong Peoples R China Cent S Univ Sch Mech & Elect Engn Changsha 410083 Hunan Peoples R China Shanghai Jiao Tong Univ Inst Automat Shanghai 200240 Peoples R China

A novel 3-D fuzzy logic controller (3-D FLC) was presented to control a class of spatially distributed dynamic systems by Li et al. (IEEE Trans. Fuzzy Syst., vol. 15, no. 3, pp. 470-481, Jun. 2007) by utilizing a 3-D fuzzy set and an inference mechanism with 3-D nature for spatial information processing. In this paper, the analytical mathematical model of the 3-D FLC is derived, and the controller structure is explained with the help of the existing conventional control techniques. The graphic analytical method for the traditional two-term FLC can be used for the analytical model derivation. The derived result shows that the 3-D FLC has a global sliding-mode structure over the spatial domain and explains why the 3-D FLC is able to process spatial information more effectively than its traditional counterpart using a few more sensors. Because of its sliding-mode feature, the Lyapunov stability criterion can be developed easily to analyze and design the 3-D FLC. Finally, a catalytic reactor is presented as an example to demonstrate the effectiveness of the 3-D FLC as compared with other controllers.

关键词： Analytical model distributed parameter system fuzzy logic control (FLC) stability design 3-D fuzzy set

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Output feedback vibration control of a string driven by a nonlinear actuator

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APPLIED MATHEMATICAL MODELLING 2019年 72卷 403-419页

作者： Wang, Ji Pi, Yangjun Chongqing Univ State Key Lab Mech Transmiss Chongqing 400044 Peoples R China Chongqing Univ Coll Automot Engn Chongqing 400044 Peoples R China

In this paper, we design an observer-based output feedback controller to exponentially stabilize a system of nonlinear ordinary differential equation-wave partial differential equation-ordinary differential equation. An observer is designed to estimate the full states of the system using available boundary values of the partial differential equation. The output feedback controller is built via the combination of the ordinary differential equation backstepping which is applied to deal with the nonlinear ordinary differential equation, and the partial differential equation backstepping which is used for the wave partial differential equation-ordinary differential equation. The controller can be applied into vibration suppression of a string-payload system driven by an actuator with nonlinear characteristics. The global exponential stability of all states in the closed-loop system is proved by Lyapunov analysis. The numerical simulation illustrates the states of the actuator, string, payload and the observer errors are fast convergent to zero under the proposed output feedback controller. (C) 2019 Elsevier Inc. All rights reserved.

关键词： Vibration control String Wave equation distributed parameter system Backstepping Boundary control

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INTELLIGENT STRUCTURES FOR AEROSPACE - A TECHNOLOGY OVERVIEW AND ASSESSMENT

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AIAA JOURNAL 1994年第8期32卷 1689-1699页

作者： CRAWLEY, EF Massachusetts Institute of Technology Cambridge Massachusetts 02139

The paper presents an overview and assessment of the technology leading to the development of intelligent structures. Intelligent structures are those which incorporate actuators and sensors that are highly integrated into the structure and have structural functionality, integrated control, signal conditioning and power amplification electronics. Intelligent structures are subsets of active structures that have highly distributed actuators and sensor systems with structural functionality, distributed control and computing architecture.

关键词： Magnetostrictive Materials distributed parameter system Feedback Control Fiber Optic Sensors Computing Architecture Sound Pressure Level Very Large Scale Integration Electrical Properties Accelerometer Trusses

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Fuzzy guaranteed cost sampled-data control of nonlinear systems coupled with a scalar reaction -diffusion process

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FUZZY SETS AND systemS 2016年第0期302卷 121-142页

作者： Wang, Jun-Wei Li, Han-Xiong Wu, Huai-Ning Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China City Univ Hong Kong Dept Syst Engn & Engn Management Tat Chee Ave Kowloon Hong Kong Peoples R China Cent S Univ State Key Lab High Performance Complex Mfg Changsha 410083 Hunan Peoples R China Beijing Univ Aeronaut & Astronaut Beihang Univ Sch Automat Sci & Elect Engn Sci & Technol Aircraft Control Lab Beijing 100191 Peoples R China

A fuzzy guaranteed cost sampled-data control problem is addressed in this paper for a class of nonlinear coupled systems of an n-dimensional lumped parameter system modeled by ordinary differential equation (ODE) with a scalar reaction diffusion process represented by parabolic partial differential equation (PDE). A Takagi Sugeno (T-S) fuzzy coupled ODE PDE model is initially proposed to accurately represent the nonlinear coupled ODE PDE system. Based on the T-S fuzzy coupled ODE PDE model, a fuzzy sampled-data controller is subsequently developed via the Lyapunov's direct method to not only locally exponentially stabilize the nonlinear coupled system, but also provide an upper bound of the given cost function. Moreover, a suboptimal fuzzy sampled-data control design is also addressed in the sense of minimizing the upper bound of the cost function. The main contribution of this study lies in that a new parameterized linear matrix inequality (LMI) technique is proposed to reduce the conservativeness of the method, and an LMI-based fuzzy suboptimal sampled-data control design is developed for the nonlinear coupled ODE PDE system based on this parameterized LMI technique. Simulation results on the sampled-data control of hypersonic rocket car are provided to illustrate the effectiveness and merit of the design method. (C) 2015 Elsevier B.V. All rights reserved.

关键词： Fuzzy control Sampled-data control Lumped parameter system distributed parameter system Linear matrix inequalities (LMIs)

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MINIMUM-TIME PULSE RESPONSE BASED CONTROL OF FLEXIBLE STRUCTURES

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1993年第5期16卷 874-881页

作者： BENNIGHOF, JK CHANG, SHM SUBRAMANIAM, M University of Texas at Austin Austin Texas 78712

This paper presents the pulse response based control method for minimum time control of structures. An explicit model of a structure is not needed for this method, because the structure is represented in terms of its measured response to pulses in control inputs. Minimum time control problem are solved by finding the minimal number of time steps for which a control history exists that consists of a train of pulses, satisfies input bounds, and results in desired outputs at the end of the control task. There is no modal truncation in the pulse response representation of the response, because all modes contribute to the pulse response data. The precision with which the final state of the system can be specified using pulse response based control is limited only by the observability of the system with the given set of outputs. A special algorithm for solving the numerical optimization problem arising in pulse response based control is presented, and the effect of measurement noise on the accuracy of the final predicted outputs is investigated. A numerical example demonstrates the effectiveness of pulse response based control and the algorithm used to implement it. The pulse response based control method is applied to linear problems in this paper.

关键词： distributed parameter system Flexible Structures Numerical Optimization Flexible Spacecrafts Quadratic Programming Bang Bang Control Singular Value Decomposition Boundary Value Problems Vibration Suppression Flexural Rigidity

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POSITIVE POSITION FEEDBACK-CONTROL FOR LARGE SPACE STRUCTURES

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AIAA JOURNAL 1990年第4期28卷 717-724页

作者： FANSON, JL CAUGHEY, TK Jet Propulsion Laboratory California Institute of Technology Pasadena California California Institute of Technology Pasadena California

A new technique for vibration suppression in large space structures is investigated in laboratory experiments on a thin cantilever beam. The technique, called Positive Position Feedback (PPF), makes use of generalized displacement measurements to accomplish vibration suppression. Several features of Positive Position Feedback make it attractive for the large space structure control environment. The realization of the controller is simple and straightforward. Global stability conditions can be derived which are independent of the dynamical characteristics of the structure being controlled, i.e., all spillover is stabilizing. Furthermore, the method can be made insensitive to finite actuator dynamics, and is amenable to a strain-based sensing approach. The experiments described here control the first six bending modes of a cantilever beam, and make use of piezoelectric materials for actuators and sensors, simulating a piezoelectric active-member. Modal damping ratios as high as 20% of critical are achieved. © 1990 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

关键词： Large Space Structures Piezoelectric Actuators Sensors Vibration Suppression Beam (Structures) Piezoelectric Materials Feedback Control Large Space Structure Control distributed parameter system Frequency Response Functions

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Adaptive fault-tolerant vibration control of a wind turbine blade with actuator stuck

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INTERNATIONAL JOURNAL OF CONTROL 2020年第3期93卷 713-724页

作者： Gao, Shiqi Liu, Jinkun Beijing Univ Aeronaut & Astronaut Sch Automat Sci & Elect Engn Beihang Univ Beijing 100191 Peoples R China Univ Sci & Technol Beijing Key Lab Knowledge Automat Ind Proc Minist Educ Beijing 100083 Peoples R China

This paper proposes an adaptive fault-tolerant boundary vibration control method designed to resolve unknown failure and stuck actuator problems in the wind turbine blade control process. The blade is modelled as a distributed parameter system described by two coupled partial differential equations. The proposed boundary control achieved the fact that the vibration of the blade can still be suppressed even when the actuator fails, and the bending and torsional deformation is eventually reduced to zero. Based on the Lyapunov direct method, a fact has been confirmed that the stability of the system is guaranteed under the boundary controller. The effectiveness of the controllers is demonstrated by numerical simulations.

关键词： Adaptive fault-tolerant control vibration control wind turbine blades distributed parameter system actuator failure

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Approximate controllability of infinite dimensional system with internal damping dependent on fractional powers of system operator

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IET CONTROL THEORY AND APPLICATIONS 2016年第18期10卷 2370-2377页

作者： Wyrwal, Janusz Silesian Tech Univ Inst Automat Control Akad 16 PL-44100 Gliwice Poland

In this study, a class of models governed by a second-order (in time) evolution differential equation with damping and positive definite, self-adjoint system operator is studied. Damping term has a special, but practically important, form of a finite sum of fractional powers of the system operator. This type of damping operator can be used to model a variety of physical phenomena related to dissipation of energy empirically observed in physical systems. It may be used to model dissipation mechanisms resulting from air damping, internal structural damping, internal viscous damping, etc. Using spectral theory of linear unbounded operators and semi-group theory necessary and sufficient conditions of approximate controllability for second order infinite dimensional system with damping are formulated and proved. Some important, from the practical point of view, remarks and comments are also provided. In particular, necessary condition for approximate controllability is formulated and discussed. Finally, an illustrative example related to approximate controllability of distributed parameter system described by the partial differential equation with higher order spatial differential operators is presented. The example refers to a system describing dynamical behaviour of damped Kirchhoff-Love plate. The study extends earlier results on approximate controllability of damped second-order abstract evolution dynamical systems.

关键词： controllability multidimensional systems distributed parameter systems partial differential equations damping damped second-order abstract evolution dynamical systems damped Kirchhoff–Love plate higher order spatial differential operators partial differential equation distributed parameter system semigroup theory linear unbounded operators spectral theory internal viscous damping internal structural damping air damping physical systems energy dissipation physical phenomena positive definite operator second-order evolution differential equation system operator fractional powers internal damping second order infinite dimensional system approximate controllability

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Robust fault diagnosis for a class of linear systems with uncertainty

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1999年第5期22卷 736-740页

作者： Jiang, B Wang, JL Soh, YC Nanyang Technol Univ Sch Elect & Elect Engn Singapore 639798 Singapore

The fault detection and isolation (FDI) problem is considered for a class of linear systems with uncertainties. An aircraft example is given to illustrate the FDI diagnostic approach presented, in which the system is transformed into one subsystem decoupled from actuator fault and another affected by the fault. The F-16XL aircraft is in this way linearized about trimmed level flight at a 10,000 ft altitude. (AIAA)

关键词： Fault Detection distributed parameter system Mathematical Models Accelerometer NASA Langley Research Center Digital Signal Processors Automatic Control Aircraft Dynamics Spectral Density Flight Dynamics

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