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This paper investigates the problem of robust exponential H∞ static output feedback controller design for a class of discrete-time switched linear systems with polytopic-type time-varying parametric uncertainties. The objective is to design a switched static output feedback controller guaranteeing the exponential stability of the resulting closed-loop system with a minimized exponential H∞ performance...
A functional differential inclusion-based approach to L2-gain analysis and feedback control problems is presented for a class of discontinuous time-delay systems. Motivated by Filippov solution in the differential equations with discontinuous right-hand side, definition of the discontinuous time-delay systems forced by external signals is introduced, and a description of L2-gain property in the sense...
This paper is concerned with the quantized output feedback H∞ control problem for discrete-time Takagi-Sugeno fuzzy systems. The measurement output of the system is quantized by a memoryless logarithmic quantizer before being transmitted to the controller. The problem we address is the design of a full order dynamic output feedback controller ensuring the asymptotical stability and a prescribed H∞...
In this paper, the chaos suppression problem for a class of unified chaotic systems with structured uncertainties is considered. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Finally, a robust controller is designed to enforce the pre-specified exponential decay dynamics...
This paper is concerned with the stabilization problem of networked control systems where the main focus are the packet-loss, time delays and unmeasured system states. Here a state observer is designed for estimating the states and compensating for time delay and data dropout, then the whole closed system is modeled as asynchronous dynamical system constrained by configuration event rate. By using...
The paper applies Lyapunov stability theory and S-procedure technique to investigate the robust stabilization problem of standard neural network model(SNNM). State-feedback controllers are designed to guarantee the global asymptotical stability of SNNM with norm-bounded uncertainties. The control law presented are formulated as linear matrix inequalities to be easily solved. Most of the existing recurrent...
In this paper, the delay-dependent non-fragile H∞ control for a class of fuzzy descriptor time-delay systems is investigated. A non-fragile controller via state feedback is proposed, which guarantees the closed-loop system to be regular, impulse free, asymptotically stable and satisfies the H∞-norm constrain. The sufficient conditions for the solvability of this controller design problem are presented...
The paper focuses on the robust H∞ controller design based on observer for a class of uncertain time-delay systems with non-linear perturbation in the state and control input. Under the assumption that the uncertainties are timevarying and norm-bounded, based on linear matrix inequality, by constructing Lyapunov function and choosing proper observer, we bring forward an approach for robust H∞ controller...
In this paper, we propose a hierarchical terminal sliding mode control approach for nonlinear underactuated systems which can drive the error to zero in a finite time. Here, the controller has the double layer structure because the system is divided into two hierarchical subsystems. In the first layer, the terminal sliding surfaces are hierarchically designed for each subsystem, and in the second...
A novel impulsive control scheme for Takagi-Sugeno (T-S) fuzzy model based chaotic systems with adaptive feedback is proposed. Firstly, we utilize a T-S fuzzy model to represent a chaotic system with adaptive feedback. Secondly, using comparison methods, a sufficient criterion for the T-S fuzzy model is derived in terms of linear matrix inequalities (LMIs) and the procedure of controller design is...
This paper addresses controller design for discrete-time positive systems with multiple delays. The control is under positivity boundedness constraints, which means that the resulting closed-loop systems are not only stable, but also positive and bounded by a given boundary, if the initial condition is bounded. The contribution lies in two aspects. First, two necessary and sufficient conditions are...
This study addresses the synchronization of N different hyperchaotic systems. Simple robust controllers with state variable error feedback and nonlinear compensating mechanisms are designed, such that the states of N different hyperchaotic systems are asymptotically synchronized. According to the Lyapunov stability theorem, the asymptotic stability of the solutions of the state error system is studied...
A class of mechanical systems with many unactuated degrees of freedom is studied. An analytical method for computing coefficients of a linear controlled system, solutions of which approximate dynamics of transverse part of coordinates of an underactuated mechanical system along a feasible motion, is proposed. The procedure is constructive and is based on a particular choice of coordinates in a vicinity...
This paper studies the problem of stability analysis and controller design for discrete-time linear time invariant (LTI) systems with state saturation. Both full state saturation and partial state saturation are considered. Firstly, a new system model is constructed for solving the key problem. Then, a new method is presented for estimating the domain of attraction of the origin for a system with...
In this paper, we show a controller design method for a class of discrete-time nonlinear systems described in T-S(Takagi-Sugeno) fuzzy model, which has uncertainties in state and input. The robust and non-fragile fuzzy Hinfin controller is designed based on Lyapunov function theory, PDC(parallel distributed compensation) and PLMI (parameterized linear matrix inequality) method. Those ensure the asymptotically...
This paper presents a method of synthesizing controllers for excitation system of synchronous generator with saturating input that guarantees a given set of admissible initial states and the dynamic characteristics of closed-loop system. The novel design method based on extended state observer (ESO) and linear matrix inequalities (LMI) optimization shows excellent control performance, especially including...
To a class of uncertain nonlinear discrete time delay systems, this paper considers the problem of non-fragile guaranteed-cost Hinfin controller design method. First, based on the stability criterion and linear matrix inequalities (LMIs) theory, a sufficient condition of the existence of the non-fragile guaranteed-cost Hinfin controller is established. Then the problem of control is solved via a robust...
This study addresses the synchronization of hyperchaotic Chen system. By using only one output, a novel controller with a high gain observer is designed to realize the globally asymptotical stability of the error dynamical system. According to the Lyapunov stability theorem, the asymptotic stability of the close loop system is studied. Numerical simulations and theoretical analysis show that the controller...
This study addresses the synchronization of the modified Chua circuit systems with fully unknown parameters and nonlinearity in the control input. A simple robust controller with a single-state variable feedback and a nonlinear compensating mechanism is derived, such that the states of two modified chaotic systems are asymptotically synchronized. According to the Lyapunov stability theorem, the asymptotic...
This paper presents a technique to design an observer-based control law that will stabilize a linear model following system. We assume that the model dynamics are completely known and has the same order as the plant. The linear matrix inequality approach is utilized in the design of observer-based controller. The controller developed in this investigation is linear and under certain assumptions this...
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