To study the problem of exponential stability control for a class of networked control systems with interval distribution time delays, a new approach is given to model the networked control systems with the stochastic time delays which is assumed to be satisfying a interval Bernoulli distribution. Based on linear matrix inequality approach, the mean-square exponential stability controller design method is presented, and the controller gain matrix is obtain by solving a linear matrix inequality. Moreover, a Lyapunov functional is used, and some stack matrices, which bring much flexibility in solving LMI, are introduced during the proof. A numerical example is given to demonstrate the validity of the results.

This paper considers the problem of exponential stability control for nonlinear uncertain networked control systems. Based on the T-S method, a model of nonlinear networked control systems is obtained. Corresponding to the probability of the delays taking value in different interval, a stochastic variable satisfying Bernoulli distribution is introduced and a new fuzzy networked control systems is built by employing the information of the probability distribution. With the Lyapunov stability theorem, the mean-square exponential stability conditions and the state feedback fuzzy controller design methods are given in terms of LMI. Finally, a numerical example is given to demonstrate the validity of the results.

This note is concerned with the problem of delaydistribution-dependent stability and stabilization for networked control systems with stochastic network induced delay and data packet dropout. The stochastic delay and data packet dropout are viewed as stochastic time-varying delay without any constraints on its derivative. Which is assumed to be satisfying a interval Bernoulli distribution. Due to the probability of the delay taking value in different intervals, a new approach is given to model the networked control systems. Based on the Lyapunov stability theory, with the linear matrix inequality approach, a new stabilization criterion is obtained. Then the controller is given to make the closed-loop systems mean-square stable. A numerical example is provided to demonstrate the validity of the proposed design approach.

The problem of exponential stability non-fragile control for uncertain systems with time-varying delay is considered in this paper. Based on the Lyapunov stability theorem, and by using linear matrix inequality approach, a new approach is obtained to design the state feedback exponential stability non-fragile controller. By introducing a new Lyapunov functional, a sufficient exponential stability condition is given in terms of linear matrix inequality. With the non-fragile controller and the linear matrix inequality Control Toolbox in MATLAB, the simulation results are easier obtained.

The finite-time stabilization problem for nonlinear networked systems has been considered. T-S approach has been used to model the controlled nonlinear systems. By using the Lyapunov functional method, a finite-time stabilization sufficient condition has been given. Then, a state feedback fuzzy controller has been designed to make the closed networked control systems finite-time stable. Finally, the proposed design method has been used into the temperature control system for polymerization reactor.

The problem of state feedback control for a class of time-delay systems with actuator saturation is considered in this paper.Based on the Lyapunov stability theory,the stability condition and the state feedback controller design method are obtained by using the linear matrix inequality approach.By introducing the matrix into Lyapunov functional,the proposed conditions are less conservative than the previous results.

This paper investigates the problem of global output feedback stabilisation for a class of high-order nonlinear systems with multiple time-varying delays. By using backstepping recursive technique and the homogeneous domination approach, a continuous output feedback controller is successfully designed, and the global asymptotic stability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov– Krasovskii functional. Two simulation examples are given to illustrate the effectiveness of the proposed approach.

This paper addresses the problem of asymptotic stabilization for a class of nonholonomic systems in chained form with output constraint. A nonlinear mapping is first introduced to transform the output-constrained system into a new unconstrained one. Then, by employing the backstepping technique and switching control strategy, a state feedback controller is successfully constructed to guarantee that the states of closed-loop system are asymptotically regulated to zero without violation of the constraint. A simulation example is provided to demonstrate the effectiveness of the proposed method.

The problem of design of exponential stability non-fragile control for uncertain systems with time-varying delay is considered in this paper. Based on the Lyapunov stability theorem, and by using linear matrix inequality approach, a new approach is obtained to design the state feedback exponential stability non-fragile controller. By introducing a new Lyapunov functional, a sufficient exponential stability condition is given in terms of linear matrix inequality. With the non-fragile controller and the linear matrix inequality Control Toolbox in MATLAB, the simulation results are easier obtained.

In this paper, the adaptive finite-time stabilization problem is investigated for a class of high order nonholonomic systems in power chained form with strong nonlinear drifts and nonlinear parameterization. By skillfully using finite-time stability theorem, parameter separation technique and adding a power integrator method, an adaptive state feedback controller is obtained. To overcome the obstacle that x-subsystem is uncontrollable when the control input u0=0, a novel switching control strategy is given. Based on this, the designed controller renders that the states of closed-loop system are regulated to zero in a finite time. Two illustrative examples are also provided to demonstrate the effectiveness of the proposed controller.

This paper investigates the problem of global stabilization by state feedback for a class of uncertain nonholonomic systems in chained form with partial inputs saturation. By using input-state-scaling technique and backstepping recursive approach, a state feedback control strategy is presented. With the help of a switching control strategy, the designed controller renders that the states of closed-loop system are globally asymptotically regulated to zero. A simulation example is provided to illustrate the effectiveness of the proposed approach.

This paper investigates the problem of semi-global finite-time stabilization by output feedback for a class of nonholonomic systems with both high-order and low-order nonlinearities. By using the homogeneous domination approach, a constructive design procedure for output feedback control is given. Together with a switching control scheme, the designed controller renders that the states of a closed-loop system are semi-globally regulated to zero in a finite time. A simulation example is provided to illustrate the effectiveness of the proposed approach.

This paper considers the problems of sliding mode control for uncertain discrete -time large-scale systems with delays .The system has time varying and uncertainty , which satisfies the norm bounded condi-tion.The sliding-mode surface is designed by LMI apptoach .Then the sliding mode controller design ap-proach is obtained .The conservative feature is overcame in the traditional sliding mode control approach which needs matched uncertainty .

This paper investigates the issue of the optimal tracking performance for multiple-input multiple-output linear time-invariant continuous-time systems with power constrained. An H-2 criterion of the error signal and the signal of the input channel are used as a measure for the tracking performance. A code scheme is introduced as a means of integrating controller and channel design to obtain the optimal tracking performance. It is shown that the optimal tracking performance index consists of two parts, one depends on the non-minimum phase zeros and zero direction of the given plant, as well as the reference input signal, while the other depends on the unstable poles and pole direction of the given plant, as well as on the bandwidth and additive white noise of a communication channel. It is also shown that when the communication does not exist, the optimal tracking performance reduces to the existing normal tracking performance of the control system. The results show how the optimal tracking performance is limited by the bandwidth and additive white noise of the communication channel. A typical example is given to illustrate the theoretical results.

There has recently been significant interest in performance study for networked control systems with communication constraints. But the existing work mainly assumes that the plant has an exact model. The goal of this paper is to investigate the optimal tracking performance for networked control system in the presence of plant uncertainty. The plant under consideration is assumed to be non-minimum phase and unstable, while the two-parameter controller is employed and the integral square criterion is adopted to measure the tracking error. And we formulate the uncertainty by utilising stochastic embedding. The explicit expression of the tracking performance has been obtained. The results show that the network communication noise and the model uncertainty, as well as the unstable poles and non-minimum phase zeros, can worsen the tracking performance.

Based on the definition approach of two-parameter Markov process,single-parameter strong Markov process and the relationship between the various stopping points,the 1-strong Markov process,the 2-strong Markov process and the wide-future strong Markov process with non-random parameter transformation were defined.Under the condition of random process being progressive measurability,the *-strong Markov process must be a 1,2-strong Markov process,the 1,2-strong Markov process must be a single-point strong Markov process.Under the condition of (F 4 ),the 1,2-strong Markov process must be a single-point strong Markov process.Wide-future strong Markov process must be a single-point strong Markov process.

The best tracking problem for a single-input-single-output (SISO) networked control system with communication constraints is studied in this paper. The tracking performance is measured by the energy of the error signal between the output of the plant and the reference signal. The communication constraints under consideration are finite bandwidth and networked induced-delay. Explicit expressions of the minimal tracking error have been obtained for networked control systems with or without communication constraints. It is shown that the best tracking performance dependents on the nonminimum phase zeros, and unstable poles of the given plant, as well as the bandwidth and networked induced-delay. It is also shown that, if the constraints of the communication channel do not exist, the best tracking performance reduces to the existing tracking performance of the control system without communication constraints. The result shows how the bandwidth and networked induced-delay of a communication channel may fundamentally constrain a control system's tracking capability. Some typical examples are given to illustrate the theoretical results.

The optimal tracking performance of single-input-single-output networked control systems over limited communication channels is proposed in this paper. The signal-to-noise ratio (SNR) constrained of communication channel is considered. The tracking performance is measured by the energy of the error variance response between the output of the plant and the reference signal. The optimal tracking performance is obtained by applying the [Formula: see text] square error criterion and the spectral factorization technique. It is shown that the optimal tracking performance is constrained by the non-minimum phase zeros, the unstable poles of a given plant, the power spectral density of a given reference signal, and the SNR of a communication channel. The results obtained in this work explicitly show how the optimal tracking performance is limited by the communication parameters (SNR in this paper). Finally, computer simulations are performed to verify the analytical results.

This paper investigates the problem of state-feedback stabilization for a class of stochastic high-order nonlinear systems with time-varying delays. Under the weaker conditions on the power order and the nonlinear growth, by using the method of adding a power integrator, a state-feedback controller is successfully designed, and the global asymptotic stability in the probability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.

In this paper we consider finite-time stabilization problems for networked control systems with state delay and communication delay. The main result provided is a sufficient condition for the design of a state feedback controller which makes the closed loop system finite-tine stable. This sufficient condition is then reduced to a feasibility problem involving linear matrix inequalities. A detailed example is presented to illustrate the proposed methodology.