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This paper addresses consensus tracking problem for multi-agent linear systems subject to exogenous disturbances generated from heterogeneous exosystems. Firstly, by using the dynamic gain technique, a nonlinear disturbance observer is presented to estimate the disturbances generated from heterogeneous nonlinear exosystems. Secondly, with the help of this nonlinear disturbance observer, a distributed...
This paper concentrates on the issue of finite-time controller design for periodic systems with random transmission delays over networked control systems. The definitions of stochastic finite-time stability and finite-time boundedness are respectively given at the beginning of this paper. Then, based on the Lyapunov function and the linear matrix inequalities (LMIs) technique, the sufficient conditions...
This paper is concerned with the fault detection (FD) problem for a class of networked systems. We introduce a novel communication protocol which is called the Round-Robin protocol (RRP) to overcome the limited communication capacity. Under the RRP protocol, sensor nodes are prearranged in a particular sequence, and communication between sensor and the receiving end is thus periodic. Such kind of...
This paper is concerned with the variable structure control problems for Markovian jump T-S fuzzy descriptor systems with mode-dependent derivative-term coefficient. A new integral sliding mode control strategy is firstly proposed for Markovian jump T-S fuzzy descriptor systems with mode-dependent derivative-term coefficient. It is shown that although the state variables of the Markovian jump T-S...
In this paper, the problem of sliding mode control (SMC) for mismatched uncertain system is investigated. Some delay dependent robust asymptotical stability conditions are provided. Firstly, we give a lemma. By this lemma, a delay-dependent sufficient condition is presented by means of linear matrix inequalities (LMIs) which makes sliding mode dynamics asymptotically stable. Secondly, an adaptive...
In this paper, linear quadratic control is considered for linear time invariant (LTI) systems with dynamic output feedback. Firstly, a new matrix inequality is presented for LTI systems with quadratic criterion and Lyapunov function. Secondly, nonlinear matrix inequality is transformed into linear matrix inequalities (LMIs) with the ideas of elimination. Consequently, the synthesis of linear quadratic...
The problem of delay-dependent observer-based robustly passive control is addressed for neutral type descriptor Markov jump systems with time-varying delays. The parameter uncertainties of the system are assumed unknown and norm-bounded. Using Lyapunov-Krasovskii functional method and weighted matrix, a delay-dependent robustly passive condition for closed-loop system is given. Then, the sufficient...
Using the fractional Razumikhin theorem, this paper investigates the stability and the stabilization of fractional-order linear time-delay systems, and presents a number of new results. First, a sufficient condition of asymptotical stability for the fractional-order linear time-delay systems is given by the fractional Razumikhin theorem. Then, by designing state feedback controller for the fractional...
This paper addresses the distributed specified-time containment control problem for multi-agent systems with general linear dynamics. A novel class of distributed containment controller are developed. For a specific time in advance, the designed controller ensures the containment control of linear multi-agent systems if the undirected topology is connected. In particular, the settling time can be...
In this paper we reinvestigate the distributed state observer for a spatially interconnected system composed of many subsystems interacting with each other. Several LMI based conditions are provided which are less conservative than or complement with the existed ones. These conditions utilize effectively the block-diagonal characteristic of system parameters and the sparseness of subsystem connection...
This paper investigates the dynamic output-feedback control problem for active suspension systems subject to actuator faults in finite frequency domain. Unmeasured states and uncertain parameters are considered in the controller design process. By using the generalized Kalman-Yakubovich-Popov (KYP) lemma, an H∞ controller can be obtained in specific frequency band. The H∞ controller is used to make...
The leader-following consensus problem for linear discrete-time multi-agent systems subject to static networks has been studied in the literature using H∞ Riccati inequality design and H2 Riccati equation design, respectively. However, these methods involve some less tractable conditions and need to solve some type of Riccati equation or inequality. In this paper, we further study the leader-following...
Disturbance attenuation and tracking control for linear systems with time-delay are studied. A differential operator is constructed by Hamilton-Caylay theorem such that the tracking problem is converted to a stabilization problem. A control law is designed such that the output of the closed-loop system is able to track the reference signal and effectively reject the disturbance. Finally, an example...
This paper investigates the problem of robust output feedback stabilization of uncertain Hamiltonian systems with saturating actuator and input delay. The uncertainties are assumed to be time invariant and belong to convex bounded polytopic domain. By employing Lyapunov-Krasovskii functional method and Wirtinger's inequality, some sufficient conditions are derived for stabilization of nonlinear Hamiltonian...
A methodology of designing adaptive sliding mode controllers for a class of nonlinear systems with matched and mismatched perturbations is proposed in this paper. Firstly, A specific designed sliding surface function is presented, and the controller with adaptive mechanisms embedded is also designed in accordance with the designated sliding surface function. Secondly, the coefficients of designated...
This paper is concerned with global exponential stability problem for a class of neural networks with time-varying delays. An appropriate Lyaponov-krasovskii functional (LKF) is constructed firstly. The symmetric matrices involved in the LKF are not required to be all positive definite. The obtained criterion expressed in terms of linear matrix inequalities (LMIs) shows advantages over the existing...
In this paper, we prove the convergence and determine the best convergence factor of the gradient-based iterative algorithm for the equation Ax = b by analyzing the eigenvalues of the relevant matrices. A new property of eigenvalues related to the symmetric positive definite matrix is established. By using this property, we obtain a family of iterative algorithms for the linear matrix equation and...
This paper studies the problem of H∞ filter design for continuous-time nonhomogeneous Markov jump systems. The time-varying transition probabilities in continuous-time domain are considered to be in a polytopic type. By constructing a Lyapunov function and fully considering the information of filter parameters, the stochastic stability and a prescribed H∞ performance index are guaranteed in terms...
This study investigates the problem of robust finite-time H∞ control for nonlinear system with parameter uncertainties and one-side Lipschitz via output feedback. The nonlinear function is considered to satisfy nonlinear condition. By means of Linear matrix inequality (LMI) techniques, design algorithms of static output feedback controller are developed. Finally, numerical examples are presented to...
This article is concerned with resilient asynchronous H∞ output feedback controller designed for a set of Markov jump linear systems (MJLSs). By Finsler's Lemma, and with the help of two sets of slack variables, the problem of inter connection between the Lyapunov matrices and the system matrices was solved. Resilient asynchronous controller is designed to ensure the controller has the character of...
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