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Control Theory and Technology 2024年第1期22卷 69-80页

作者： Junqi Yang Jianhao Xie Feiyang Liu School of Electrical Engineering and Automation Henan Key Laboratory of Intelligent Detection and Control of Coal Mine EquipmentHenan Polytechnic UniversityJiaozuo454003HenanChina

For a class of time-delay discrete-time linear systems with external disturbance and measurement noise, the interval estimation problems of state and measurement noise are investigated in this paper. First, the system state together with the time-delay term and measurement noise is augmented as a new state, and a singular system is then constructed. Subsequently, a kind of decoupling technique is employed to eliminate the effect of external disturbance, and an observer is designed to simultaneously estimate the system state and measurement noise. Based on the estimated state and measurement noise, the interval estimations of system state and measurement noise are obtained by reachability analysis technique. Finally, the effectiveness of the proposed method is verified by a four-tank liquid level system.

关键词： Interval estimation Time-delay system observer design Reachability analysis

Time-scheduled observer design for switched linear systems with unknown inputs

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Science China(Information Sciences) 2022年第7期65卷 265-266页

作者： Shuang SHI Zhongyang FEI Xudong ZHAO College of Automation Engineering Nanjing University of Aeronautics and Astronautics Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education Dalian University of Technology

Dear editor, Since uncertain disturbance, actuator faults and unmodeled dynamics can all be viewed as unknown inputs in various practical systems, the issue of unknown input observer design is of great significance. Meanwhile, switched systems have attracted extensive attention, which are prevailingly motivated by superior capabilities in modeling numerous practical systems possessing switching characteristics. Recently, the state observation for switched systems with unknown inputs has attracted considerable attention [1–5].

关键词： switched linear systems unknown inputs admissible edge-dependent average dwell-time multiple discontinuous Lyapunov-like functions observer design

Non-fragile observer design for Fractional-order One-sided Lipschitz Nonlinear Systems

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International Journal of Automation and computing 2013年第4期10卷 296-302页

作者： Yong-Hong Lan Wen-Jie Li Yan Zhou Yi-Ping Luo School of Information Engineering Xiangtan University Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education Xiangtan University Institute of Intelligent Control Hunan Institute of Engineering

This paper is concerned with the problem of the full-order observer design for a class of fractional-order Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using an indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full-order observer error dynamic system is presented. The stability condition is obtained in terms of LMI, which is less conservative than the existing one. A numerical example demonstrates the validity of this approach.

关键词： Fractional-order nonlinear system observer design indirect Lyapunov approach linear matrix inequality （LMI）.

Sensor Fault Diagnosis observer design for Linear Sampled-Data Descriptor System with Time-Vary Delay

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Journal of Harbin Institute of Technology(New Series) 2019年第6期26卷 8-18页

作者： Mao Wang Tiantian Liang Zhenhua Zhou Space Control and Inertial Technology Research Center Harbin Institute of TechnologyHarbin 150001China Changzhou Vocational Institute of Light Industry Technology Changzhou 213000JiangsuChina

In this paper, a robust sensor fault diagnosis observer with non-singular structure is proposed for a class of linear sampled-data descriptor system with state time-vary delay. Firstly, a sampled-data descriptor model with time-vary delay is proposed and transformed into a discrete-time non-singular one. Then, a robust sensor fault diagnosis observer is proposed based on the state estimation error and the measurement residual, this observer can guarantee the robustness of the residual against the augmented disturbance and the sensor fault, which means the H∞ performance index is satisfied. As the confining matrix of the designed observer parameters does not meet the Linear Matrix Inequality (LMI), a cone complementary linearization (CCL) algorithm is proposed to solve this problem. The decision logic of the residual is obtained by the residual evaluation function. Simulation results show the effectiveness of the method.

关键词： descriptor system sampled-data system time-vary delay sensor fault diagnosis observer design

observer design of Discrete-Time T-S Fuzzy Systems via An Efficient Multi-Instant Fuzzy observer 26th

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Observer Design of Discrete-Time T-S Fuzzy Systems via An Ef...

第26届中国控制与决策会议

作者： Hongxia Zhang Xiangpeng Xie Department of Mechanical Engineering and Automotive Services Wuhan Business University School of Automation Huazhong University of Science and Technology

ISBN: (纸本)9781479937097

The problem of reducing conservatism of observer design of discrete-time Takagi-Sugeno fuzzy systems is addressed via a new kind of fuzzy observer. The so-called multi-instant fuzzy observer is parameter-dependent on both past-time and current-time normalized fuzzy weighting functions. Since more information about the underlying fuzzy systems could be involved into observer design, the conservatism of observer design for discrete-time Takagi-Sugeno fuzzy systems can be significantly reduced. In particular, some existing fuzzy observers are special cases of the multiinstant fuzzy observer proposed in this paper. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.

关键词： State Estimation observer design Takagi-Sugeno Fuzzy Model Reducing Conservatism

observer design for Space-Varying Delayed Distributed Parameter Systems

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Observer Design for Space-Varying Delayed Distributed Parame...

第40届中国控制会议

作者： Xu Zhang Zi-Peng Wang Feng-Liang Zhao Qian-Qian Li School of Electrical Engineering University of Jinan

This paper considers the observer design problem of the space-varying delayed distributed parameter systems（DPSs）described by parabolic partial differential equations（PDEs）. By using a Lyapunov-Krasovskii functional, an observer design is developed by spatial linear matrix inequalities（SLMIs） to ensure the exponential stability for the estimation error delayed DPS.In addition, to solve the SLMIs, the observer design for space-varying delayed DPS is formulated as an LMI feasibility problem.Finally, we verify the effectiveness of the proposed method via an example.

关键词： observer design Space-varying delayed distributed parameter systems（DPSs） Spatial linear matrix inequalities（SLMIs）

observer design for a generalized class of nonlinear dynamical systems with input

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Observer design for a generalized class of nonlinear dynamic...

第三十九届中国控制会议

作者： Li-Fei Wang Driss Boutat Da-Yan Liu INSA Centre Val de Loire

This paper deals with observer design for a generalized nonlinear observer normal forms. At first we propose a more extensive class of nonlinear dynamical systems with input than proposed in [16]. Next, by taking a series of changes of coordinates and by means of extended auxiliary variables, we transform the proposed nonlinear systems into nonlinear observer normal forms. The key point is that this method is not based on the Lie derivative. Finally, by giving two examples, we verify the validity and correctness of our theory.

关键词： observer design nonlinear dynamical systems with input changes of coordinates nonlinear observer normal forms

observer design for a class of linear time-varying systems

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Observer design for a class of linear time-varying systems

第36届中国控制会议

作者： L.T.Li G.R.Duan Center for Control Theory and Guidance Technology Harbin Institute of Technology

ISBN: (纸本)9781538629185

The problem of observer design for a class of linear time-varying system is researched in this paper. An augmented linear time-varying system is proposed to extent the application of the previous results. Moreover, using the observable block companion form of the augmented linear time-varying system, this paper presents an algorithm of observer design. Compared with other observer design approaches, the prominent feature of the algorithm is that of simplifying the computational complexity.Finally, simulations are designed in linear time-varying system and results are presented to demonstrate validity of the proposed algorithm.

关键词： augmented linear time-varying systems observability block companion form observer design

LMI-based observer design for One-sided Lipschitz Nonlinear Systems

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LMI-based Observer Design for One-sided Lipschitz Nonlinear ...

第三十届中国控制会议

作者： ZHANG Wei~(1,2),LIANG Yan~1,SU Hou-Sheng~3,HAN Zheng-Zhi~2 1.Engineering Training Center,Shanghai University of Engineering Science,Shanghai 201620,P.R.China 2.School of Electronic,Information and Electrical Engineering,Shanghai Jiao Tong University,Shanghai 200240,P.R.China 3.Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan,430074,P.R.China

＜正＞This paper considers the observer design for one-sided Lipschitz nonlinear systems.Sufficient conditions for the existence of observer for these systems are provided and expressed in terms of linear matrix inequalities,which are easily and numerically tractable via standard software algorithms.It is proven that the proposed conditions are less conservative than some existing results in recent literature.Simulation results on an example are given to numerically verify the proposed design.

关键词： One-sided Lipschitz systems Quadratic inner-boundedness observer design Linear matrix inequality（LMI）

Parametric Approaches for observer design in High-order Descriptor Linear Systems

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Parametric Approaches for Observer Design in High-order Desc...

第24届中国控制与决策会议

作者： Haihua Yu 1 , Degang Bi 2 1. Department of Automation, HeiLongJiang University, Harbin 150080, China2. School of Information Science and Technology, HeiLongJiang University, Harbin 150080, China

This paper considers the problem of observer design in high-order descriptor linear systems. Parametric expressions for the left eigenvectors associated with the finite eigenvalues of the observer and simple and complete parametric solutions for the observer gain matrices are obtained on the basis of the parametric solution of the generalized high-order Sylvester matrix equation. This approach does not impose any restriction on the observer eigenvalues. An illustrative example shows the effect of the proposed approaches.

关键词： High-order descriptor linear systems observer design high-order Sylvester matrix equation parametric approaches