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This paper is concerned with the local synchronization of linear agents subject to sector-bounded input nonlinearities over an undirected communication graph. We first derive a sufficient LMI condition for achieving the local synchronization for any nonlinearities satisfying a given sector condition. Based on this analysis, we present a sufficient LMI synthesis condition of a relative state feedback...
The problem of non-fragile fault-tolerant guaranteed cost control is studied for a class of nonlinear networked control systems with time delays and packet dropouts. The system parameters are allowed to have time-varying uncertainties, and the actuator faults are assumed to occur in a random way. By utilizing Lyapunov stability theory and linear matrix inequality (LMI) methods, a sufficient condition...
This paper is concerned with the stability analysis problem for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. By utilizing the idea of partitioning the delay interval into l nonuniform subintervals and the reciprocally convex technique, a novel fuzzy Lyapunov-Krasovskii function is constructed to reduce the conservatism of stability conditions. The conservatism reduction...
The paper is concerned with the robust filter design problem in network environment subject to communication constrained, such as quantization distortion, randomly transmission delay and packets loss. By formulating the three communication constraints phenomena into a stochastic parameter uncertainty system, a linear filter is designed to satisfy that the error state of the filtering process is mean...
This paper investigates uncertain SDOSs (singular delta operator systems), regarding robust H∞ control and robust H∞ performance analysis. To ensure robust admissibility, we introduce the definition of generalized quadratic admissibility. Through LMI (linear matrix inequality), with the support of a necessary and sufficient condition, an uncertain singular delta operator system is generalized quadratically...
This paper investigates the robust H8 controller design for a class of nonlinear singular time-delay systems. The parametric uncertainties are also considered in this work. To solve the problem, firstly, the nonlinear system is modeled by using the interval type-2 T-S fuzzy theory. To analyze the stability, by choosing a proper Lyapunov functional, the delay dependent characteristics are taken into...
In this paper, the problem of designing robust non-fragile guaranteed cost state feedback controller for a class of continuous-time singular piecewise-affine systems is considered. Based on a singular piecewise Lyapunov function combined with S-procedure and some matrix inequality convexifying techniques, the robust non-fragile stabilization condition is established, and meanwhile, the condition of...
The problem of multi-objective model predictive controller design is solved in this paper. The linear parameter-varying parameter system is considered. The proposed method is based on the solving multi-objective optimization problem using linear matrix inequality approach at each sampling time. The trade-off point among the optimization results is obtained by Nash bargaining solution at each sampling...
The paper deals with robust fault estimation problem for non-linear discrete-time Lipschitz systems and robust state observer design. Proposed fault estimation strategy is based on Unknown Input Observer and H∞ general frameworks, which are used to formulate robust fault and state observer problem. The prescribed disturbance attenuation level is achieved, while guaranteeing convergence of the observer...
A new chattering-free integral sliding-mode control method is proposed for discrete-time linear systems with unmatched uncertainties. Based on the linear matrix inequality (LMI) technique, a new sliding-mode switching function is proposed. The effect of unmatched uncertainties is minimized, and the Lyapunov stability is proved. Then the sliding mode controller is proposed. The saturation function...
This paper is devoted to the development of a new saturated control law for constrained Takagi-Sugeno fuzzy systems. These systems are subject to both control input and state constraints and also persistent disturbances bounded in amplitude. The design procedure is formulated through linear matrix inequalities (LMIs) form which can be solved by means of convex optimization techniques. Based on the...
In this article, the case is considered where a regulated output of an uncertain system with unknown disturbance input is constrained to lie between two specified time-varying bounds. It is supposed a controller has already been designed using any desired technique. This controller may not satisfy expected output constraints. The objective is to design saturations on the control signal so that the...
The paper presents new results for the robust guaranteed cost control problem for a nonlinear neutral system having infinite delay with a given quadratic cost function. A delay dependent stability criterion, based on a model transformation technique, is proposed. A state feedback control law is then designed using the Razumikhin stability approach and the Lyapunov matrix equation to ensure not only...
The problems of robust stabilization and robust ℋ∞ control by means of state feedback for uncertain linear systems in polytopic domains are investigated in this paper. New synthesis conditions based on LMI relaxations and search of scalar variables are proposed for both continuous and discrete-time systems. The main novelty comes from the fact that the closed-loop stability is certified by means of...
This paper is concerned with the problem of robust full-order ℋ∞ filter design for uncertain discrete-time linear systems. The uncertainties are supposed to be time-invariant and to belong to a polytopic domain. The main novelty is the fact that the filter contains an arbitrary number of past states and past system output measures, yielding a filtering system with memory. Linear matrix inequality...
This paper deals with the problem of fixed-order controller design of LTI continuous-time and discrete-time polytopic systems via homogeneous polynomially parameter-dependent Lyapunov matrices. The proposed method is based on the concept of Strictly Positive Realness (SPRness) of a transfer function depending on a parameter-dependent gain. To convert the problem to a set of LMI conditions, the parameter-dependent...
In this paper, a methodology for an affine quasilinear parameter varying (qLPV) model derivation is proposed. The nonlinear model of the system is converted into a qLPV model by hiding the nonlinearities in the scheduling parameters. In order to select the most suitable model among all the possible models, an algorithm is introduced and proposed to generate affine qLPV models for enhancing the fault...
In this paper we show how to design robust and gain-scheduled controllers for linear continuous-time parameter-varying systems without quadratic stability. Parameter-independent Lyapunov functions are constructed, of which quadratic stability is a particular case. Examples illustrate the application of the resulting stabilization conditions, which are Linear Matrix Inequalities with a set of tuning...
This paper provides synthesis conditions of robust state feedback control law for continuous-time linear time-invariant systems with polytopic uncertainty. By conveniently expressing the Lyapunov stability condition of the closed-loop system and using the elimination lemma, a new LMI synthesis condition with scalar searches is proposed. As main novelty, the scalar search is constrained to the interval...
In this paper, we develop a distributed state-feedback controller synthesis algorithm for a discrete-time LPV system that is composed of the interconnection of several sub-systems each scheduled by its own parameters. A set of LMI conditions are derived for robust ℒ2-gain performance of such a system in the framework of multiplier-based LPV synthesis. The results have been oriented to be applied in...
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