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Jenqder Chen - One of the best experts on this subject based on the ideXlab platform.

Wu-hua Chen - One of the best experts on this subject based on the ideXlab platform.

  • brief paper exponential stability of nonlinear Time Delay Systems with Delayed impulse effects
    Automatica, 2011
    Co-Authors: Wu-hua Chen, Wei Xing Zheng
    Abstract:

    The problem of exponential stability for nonlinear Time-Delay Systems with Delayed impulses is addressed in this paper. Lyapunov-based sufficient conditions for exponential stability are derived, respectively, for two kinds of Delayed impulses (i.e., destabilizing Delayed impulses and stabilizing Delayed impulses). It is shown that if a nonlinear impulsive Time-Delay System without impulse input Delays is exponentially stable, then under some conditions, its stability is robust with respect to small impulse input Delays. Moreover, it is also shown that for a stable nonlinear impulsive Time-Delay System, if the magnitude of the Delayed impulses is sufficiently small, then under some conditions, the Delayed impulses do not destroy the stability irrespective of the sizes of the impulse input Delays. The efficiency of the proposed results is illustrated by three numerical examples.

  • Delay dependent guaranteed cost control for uncertain discrete Time Systems with both state and input Delays
    Journal of The Franklin Institute-engineering and Applied Mathematics, 2004
    Co-Authors: Wu-hua Chen, Zhihong Guan, Xiaomei Lu
    Abstract:

    This paper considers the guaranteed cost control problem for a class of uncertain linear discrete-Time Systems with both state and input Delays. By representing the Time-Delay System in the descriptor System form and using a recent result on bounding of cross products of vectors, we obtain new Delay-dependent sufficient conditions for the existence of the guaranteed cost controller in terms of linear matrix inequalities. Numerical examples are presented which shows that the proposed method can even produce a lower guaranteed cost than the Delay-independent methods.

  • technical communique Delay dependent output feedback guaranteed cost control for uncertain Time Delay Systems
    Automatica, 2004
    Co-Authors: Wu-hua Chen, Zhihong Guan
    Abstract:

    This paper considers the problem of output-feedback guaranteed cost controller design for uncertain Time-Delay Systems. By representing the Time-Delay System in the descriptor form and using a recent result on bounding of cross products of vectors, we obtain new Delay-dependent sufficient conditions for the existence of the guaranteed cost output-feedback controller in terms of matrix inequalities. A numerical algorithm is proposed to construct a full order output feedback controller achieving a suboptimal guaranteed cost such that the System can be stabilized for all admissible uncertainties. An example is presented which shows that the proposed method can produce a lower guaranteed cost than the Delay-independent method.

Changhua Lien - One of the best experts on this subject based on the ideXlab platform.

Chuanke Zhang - One of the best experts on this subject based on the ideXlab platform.

  • Delay dependent stability analysis of Delayed discrete Time Systems via state connecting based zero value equations
    Chinese Control Conference, 2020
    Co-Authors: Keyou Xie, Wenhu Chen, Li Jin, Chuanke Zhang
    Abstract:

    This paper is concerned with the stability analysis of discrete Time-Delay System. Firstly, an improved augmented functional form is proposed and the positive definite condition of functional is derived. Then, the forward difference of functional is estimated by applying summation inequalities and a state-connecting-based zero-value equation. As a result, an improved stability criterion is established. Finally, a numerical example is given to show the efficiency and merit of the proposed method.

  • a relaxed quadratic function negative determination lemma and its application to Time Delay Systems
    Automatica, 2020
    Co-Authors: Chuanke Zhang, Fei Long, Wei Yao, Lin Jiang
    Abstract:

    Abstract The quadratic function with respect to the Time-varying Delay has often been introduced for the analysis of Systems with Time-varying Delays. To determine the negative definiteness of such function, this paper develops a parameter-adjustable-based lemma, which contains the lemma popularly used in literature as a special case and has potential to reduce the conservatism without requiring extra decision variables. A stability criterion for a linear Time-Delay System is established by using the proposed lemma, whose advantage is demonstrated via a numerical example, and the criterion is finally applied to analyze the stability of load frequency control scheme for a single-area power System.

  • an extended reciprocally convex matrix inequality for stability analysis of Systems with Time varying Delay
    Automatica, 2017
    Co-Authors: Chuanke Zhang, Lin Jiang, Qingguo Wang
    Abstract:

    Abstract The reciprocally convex combination lemma (RCCL) is an important technique to develop stability criteria for the Systems with a Time-varying Delay. This note develops an extended reciprocally convex matrix inequality, which reduces the estimation gap of the RCCL-based matrix inequality and reduces the number of decision variables of the recently proposed Delay-dependent RCCL. A stability criterion of a linear Time-Delay System is established through the proposed matrix inequality. Finally, a numerical example is given to demonstrate the advantage of the proposed method.

Weili Xiong - One of the best experts on this subject based on the ideXlab platform.

  • robust identification of nonlinear Time Delay System in state space form
    Journal of The Franklin Institute-engineering and Applied Mathematics, 2019
    Co-Authors: Xin Liu, Xianqiang Yang, Pengbo Zhu, Weili Xiong
    Abstract:

    Abstract This paper puts forward a robust identification solution for nonlinear Time-Delay state-space model (NDSSM) with contaminated measurements. To enhance the robustness of the developed method for outliers, the heavy-tailed Laplace distribution is employed to describe and protect the output measurement process. The undetermined Time-Delay is considered to be uniformly distributed and the boundary of it is known as a priori. In the developed solution, the uncertain Time-Delay is treated as a latent process variable and it is iteratively calculated with the expectation–maximization (EM) algorithm. The EM algorithm is actually an iterative optimization algorithm and it is effective for the hidden variable problems. The particle filter is introduced to numerically approximate the cost function (Q-function) in the EM algorithm since it is difficult to calculate directly. The efficacy of the developed solution is evaluated via a numerical test and a two-link robotic manipulator.

  • parameter identification of nonlinear multirate Time Delay System with uncertain output Delays
    Transactions of the Institute of Measurement and Control, 2018
    Co-Authors: Xianqiang Yang, Weili Xiong, Zeyuan Wang, Xin Liu
    Abstract:

    The joint parameter and Time-Delay estimation problems for a class of nonlinear multirate Time-Delay System with uncertain output Delays are addressed in this paper. The practical process typically has Time-Delay properties and the process data are often multirate, sampled with output data inevitably corrupted by uncertain Delays. The linear parameter varying (LPV) finite impulse response (FIR) multirate Time-Delay model is initially built to describe the considered System. The problems of over-parameterization and the existence of both continuous model parameters and discrete Time-Delays have made the conventional maximum likelihood difficult to solve the considered problems. In order to handle these problems, the joint parameter and Time-Delay estimation for the LPV FIR multirate Time-Delay model are formulated in the expectation-maximization scheme, and the algorithm to estimate the model parameters and Time-Delays is derived, simultaneously based on multirate process data. The efficacy of the proposed...

  • robust identification of wiener Time Delay System with expectation maximization algorithm
    Journal of The Franklin Institute-engineering and Applied Mathematics, 2017
    Co-Authors: Xianqiang Yang, Weili Xiong, Zeyuan Wang
    Abstract:

    Abstract This paper considers the parameter estimation for Wiener Time-Delay Systems with the output data contaminated with outliers. The Time-Delay and corrupted output data bring great challenges to the parameter estimation problem. The statistical model of the estimation problem is constructed based on the Laplace distribution and the identification problem is formulated in the scheme of the expectation-maximization (EM) algorithm. The negative effect of outliers imposed on the parameter estimation problem is sufficiently suppressed and the unknown Time-Delay and model parameters can be estimated simultaneously. The simulation example is given to demonstrate the effectiveness of the proposed algorithm.

  • multiple model based linear parameter varying Time Delay System identification with missing output data using an expectation maximization algorithm
    Industrial & Engineering Chemistry Research, 2014
    Co-Authors: Xianqiang Yang, Weili Xiong, Biao Huang
    Abstract:

    This paper is concerned with the identification problems of the linear parameter varying (LPV) System with missing output in the presence of the Time-Delay. A multiple-model approach is adopted. Local models varying from one operating point to another are first described by finite impulse response (FIR) models. To handle missing output and Time-Delay, the expectation-maximization (EM) algorithm is utilized to estimate the unknown parameters and the Time-Delay simultaneously. Output Error (OE) models are widely used in controller design. Therefore, the auxiliary model principle is employed to recover the OE models based on the initially identified FIR models. The EM algorithm is then used again to refine the unknown parameters of the OE models with the complete data set to obtain the final global model. Simulation examples are presented to demonstrate the performance of the proposed method.