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A class of large-scale systems with decentralized information structures such as multi-agent systems can be represented by a linear system with a generalized frequency variable. In this paper, we investigate stability of such systems, which is the most fundamental property from the view point of control. Specifically, we first present a systematic way of deriving a Hurwitz type stability criterion...
Delay approach to continuous-discrete observer design for Lipschitz nonlinear systems is discussed. First, the convergence conditions of the nonlinear observer with a linear output correction are established in terms of linear matrix inequalities. In the second part of this note, new matrix conditions are derived to ensure the convergence of the hybrid observer with both linear and nonlinear correction...
In this paper, we present a robust recursive filtering algorithm for discrete time-varying systems with sensor failures and uncertain parameters in their state space models. The exiting results are generalized to the case where each sensor may fail at any sample time independently of the others. For robust performance, stochastic parameter uncertainties are included in the system matrix. The design...
The robust sliding mode control for Markov jump systems with parameter uncertainties and an unknown nonlinear function is discussed. Based on a descriptor system approach and linear matrix inequality (LMI), a sufficient condition which guarantees the existence of linear switching surface and the stochastic stability of sliding mode dynamics is given. A sliding mode controller is designed such that...
This paper studies the guaranteed cost control for a class of uncertain switched singular systems based on the guaranteed cost control theories and other related theories about switched systems. Firstly by using the common Lyapunov functions method, a sufficient condition on the existence of state feedback guaranteed cost controller is derived under arbitrary switching laws. Secondly a sufficient...
This paper aims to design an innovative observerbased reliable controller for networked control system(NCS). The state and sensor failures are estimated as the controller's input. The gains of Observer and observer-based feedback controller are solved via the linear matrix inequality (LMI) technology. An illustrative example is given to show the reliable output can works well even if the sensor failures...
This paper is concerned with the estimation of the domain of attraction for a class of linear continuous-time systems subject to both interval time-varying delay and actuator saturation. A new type of delay-range-dependent condition is firstly proposed using the free-weighting matrix technique to derive a tighter upper bound on the derivative of a Lyapunov-Krasovskii functional. Based on it, a state...
This paper deals with the problem of dissipative control for a class of Ito-type stochastic systems with time varying delays. We consider the design of a state-feedback dissipative controller based on Lyapunov-Krasovskii functional approach such that the closed-loop systems is exponentially stable in the mean square and strictly (Q, S,R)-dissipative. The sufficient conditions are obtained by using...
This paper investigates stability analysis for linear systems with Markovian jumping parameters and state delays. Based on delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the delay-dependent stochastic stability conditions for both nominal and uncertain time-delay Markovian systems. The results are formulated in terms of linear matrix inequalities...
This paper addresses the stability problem of 2D state-delayed systems described by the Fornasini-Marchesini second local state-space and the Roesser models under saturation nonlinearities. In terms of linear matrix inequalities (LMIs), a sufficient condition is derived to ensure the asymptotic stability of the systems. Two numerical examples are given to demonstrate the theoretical results.
In practical applications, it is often encountered that the jump modes of a Markovian jump linear system may not be fully accessible to the filter, and thus designing a filter which partially or totally independent of the jump modes becomes significant. In this paper, by virtue of a new stability and Hinfin performance characterization, a novel necessary and sufficient condition for the existence...
This paper investigates the problem of robust Hinfin control for Markovian jump systems with polytopic uncertain parameters and mode-dependent distributed delays. In terms of linear matrix inequalities, a sufficient condition for robust stochastic stability is proposed. A state feedback controller is designed such that the closed-loop system is stochastically stable and a prescribed Hinfin performance...
In this paper, a state feedback gain synthesis method for achieving alpha-stability of uncertain linear time-delay systems is proposed. By properly incorporating the system dynamics, the derived gain synthesis conditions are totally LMI-based and easy to apply. Examples are given to show the effectiveness of the proposed method.
In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems...
For uncertain time delay systems with mismatch disturbances, this paper presented an integral sliding mode control algorithm using output information only. The proposed control algorithm can improve the synthesis problem in past researches and avoid solving a large LMI. An integral sliding surface is comprised of output signals and an auxiliary full-order compensator. The designed output feedback...
This paper focuses on the global behaviors of a class of pendulum-like dynamical networks with multiple equilibria. Sufficient conditions for the determination of gradient-like as well as dichotomy behavior are given in terms of linear matrix inequalities (LMIs). In order to examine the global synchronous behavior, a concept of generalized synchronization is introduced, and the criterion for generalized...
We study the Hinfin Controller reduction problem for structured uncertain systems whose uncertainties are governed by Integral Quadratic Constraints. A sufficient condition for obtaining a reduced-order controller is given in terms of a system of rank constrained Linear Matrix Inequalities which can be solved using existing algorithms. In this approach, the balancing state transformation is a decision...
In this paper, a new robust Iterative Learning Control (ILC) algorithm has been proposed for linear systems in the presence of iteration-varying parametric uncertainties. The robust ILC design is formulated as a min-max problem using a quadratic performance criterion subject to constraints of the control input update. An upper bound of the maximization problem is derived, then, the solution of the...
This paper investigates the problem of delay dependent robust stability analysis and Hinfin filtering design for a class of uncertain continuous-time nonlinear systems with time-varying state delay represented by T-S fuzzy models. Based on a newly developed Lyapunov-Krasovskii functional combined with an improved free-weighting matrix technique, a new sufficient condition for robust stability analysis...
The problem of stability analysis for two-dimensional (2-D) discrete fuzzy systems is investigated in this paper. The 2-D fuzzy system model is first established based on the Fornasini-Marchesini local state-space (FMLSS) model, and asymptotic stability is derived by means of linear matrix inequality (LMI) technique. The effectiveness of the proposed condition is shown via an example.
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