In this paper, the variable structure control is investigated for a class of the nonlinear systems with neutral term. Firstly, based on pole-placement method, a sliding surface with simple structures is designed to ensure that the sliding motion has the desired properties and the corresponding reaching motion control is designed to enforce the considered system to asymptotically stable and insensitive to the uncertainties. During the process of theoretical derivation, some new techniques of equivalent transformation and amplification for the inequalities, are developed flexibly. Secondly, an approved design for sliding surface and corresponding sliding mode control is provided to overcome the defect of the fore approach, which is the dynamics depend on the perturbation. Finally, the effectiveness of the proposed approaches is illustrated by a numerical example.

This paper is devoted to the variable structure control problems for a class of the uncertain systems with partial actuator faults. The actuator mode takes a more general form of actuator faults, which covers the non-faulty case and the partial degradation case. Firstly, the considered system is made equivalent transformation to design a simple sliding surface, which can ensure the behavior of system in the sliding mode exhibit desired performance. Secondly, it is concentrating on optimizing the bounds of unmatched nonlinearity and designed gains to obtain the minimization. The function mincx is utilized to solve the convex problem and guarantee the quadratic stability of the sliding motion. In the process of deriving theoretical results, some good techniques are developed for the less conservative. Thirdly, the variable structure control with partial actuator faults is designed for the considered system to derive the state to the sliding surface and guarantee to maintain a sliding motion on it thereafter. Finally, based on of a numerical example, it is illustrated that the proposed variable structure control with partial actuator faults is effective.

This paper is devoted to investigating the problems of the variable structure control and optimization for a class of time delay systems, which contain matched uncertainty and unmatched uncertainty, time-varying delay in state of system. Firstly, some special transformation is made for the considered system to obtain an equivalent system. A sliding surface is designed to ensure the behavior of system in the sliding mode exhibit desired performance. Secondly, it is concentrated on the optimization problem for the bounds of unmatched nonlinearity and designed gains, which guarantees the quadratic stability of the sliding motion. Flexible inequality amplifying techniques are developed for the good theoretical results. Thirdly, the efficient variable structure control is designed to drive the considered system state to the sliding surface and maintain a sliding motion on it thereafter. Finally, the effectiveness of the proposed variable structure control is illustrated through an numerical example.

Data mining technology is used to analyze the association between driver's macroscopic characteristics and accident types of drivers of urban traffic accidents. Based on the correlation between microscopic characteristics (such as physiology and psychology of the driver and macro characteristics (such as sex, age and driving age), the statistic values of driver sex, age and driving characteristics of road in traffic accidents are taken as the comparison sequences, and the types of traffic accidents as the reference sequence. Simultaneously, the gray relational model of the driver's accident and the accident type is established. By analyzing the quantified results of the gray incidence matrix, evaluated the different characteristics of the transport drivers for the influence of the accident types, and a reference for prevention of traffic accidents is provided effectively.

The design of the dynamic output feedbackH∞control for uncertain interconnected systems of neutral type is investigated. In the framework of Lyapunov stability theory, a mathematical technique dealing with the nonlinearity on certain matrix variables is developed to obtain the solvability conditions for the anticipated controller. Based on the corresponding LMIs, the anticipated gains for dynamic output feedback can be achieved by solving some algebraic equations. Also, the norm of the transfer function from the disturbance input to the controlled output is less than the given index. A numerical example and the simulation results are given to show the effectiveness of the proposed method.

The non-fragile control for a class of nonlinear uncertain neutral systems with time-varing delays in state and control input is focused on.in Lyapunov stability theory framework,using various techni Ques of decomposing and magnifying for matrices,the control with gain persturbations is proposed,which can guaranteed the asymptotical stability of the close-loop systems.The stability critrerion is given based on the nonlinear persturbations.Also,a useful integral lemma is utilized to deal with the integral generated by differentiating the Lyapunov functional.Finally,an example is given to illustrate the design method of the control and show the effectiveness of the developed scheme.

The observer-based decentralized control problem is investigated for a class of uncertain interconnected systems of neutral type. Using the singular value decomposition approach, a full-order observer is designed to guarantee the asymptotic stability of the error dynamic system. A novel mathematical technique is developed to solve this design problem. Sufficient condition for uncertain interconnected systems of neutral type to be asymptotic stable is established based on the singular value decomposition method. Furthermore, the desired gains of observer and controller are obtained by the explicit expressions in terms of some free parameters. Finally, an illustrative example is used to demonstrate the proposed approach, and the corresponding simulation results are given to elucidate the effectiveness.

The design and optimization problems of the nonfragile guaranteed cost control are investigated for a class of interconnected systems of neutral type. A novel scheme, viewing the interconnections with time-varying delays as effective information but not disturbances, is developed to decrease the conservatism. Many techniques on decomposing and magnifying the matrices are utilized to obtain the guaranteed cost of the considered system. Also, an algorithm is proposed to solve the nonlinear problem of the interconnected matrices. Based on this algorithm, the minimization of the guaranteed cost of the considered system is obtained by optimization. Further, the state feedback control is extended to the case in which the underlying system is dependent on uncertain parameters. Finally, two numerical examples are given to illustrate the proposed method, and some comparisons are made to show the advantages of the schemes of dealing with the interconnections.

The sliding mode control and optimization are investigated for a class of nonlinear neutral systems with the unmatched nonlinear term. In the framework of Lyapunov stability theory, the existence conditions for the designed sliding surface and the stability bound α∗ are derived via twice transformations. The further results are to develop an efficient sliding mode control law with tuned parameters to attract the state trajectories onto the sliding surface in finite time and remain there for all the subsequent time. Finally, some comparisons are made to show the advantages of our proposed method.

This paper investigates the design of decentralized non-fragile guaranteed cost control for a class of neutral interconnected systems with time-varying delays. A novel scheme, viewing the interconnections with time-varying delays as effective information but not disturbances, is developed. Based on this scheme, using the techniques of decomposing and magnifying matrices, a guaranteed cost control with gain perturbations is obtained and an efficient optimization approach is proposed to minimize the guaranteed cost for neutral interconnected systems. The state feedback control is extended to the case in which the underlying system is dependent on uncertain parameters. Two examples are given to illustrate the control design and show the advantages of the schemes of dealing with the interconnections.

This paper is concerned with the observer-based state feedback control problem for a class of uncertain neutral systems. In the framework of Lyapunov stability theory, a full-order observer that guarantees the asymptotic stability of the error dynamic system is addressed. The singular value decomposition technique and the novel mathematical technique are utilized to obtain sufficient condition for neutral systems. The design of the observer and controller is formulated in terms of linear matrix equalities. Finally, a numerical example is included to illustrate effectiveness of the proposed method.

This paper focuses on the non-fragile control for nonlinear neutral systems with time-varying delays in state, control input. In Lyapunov stability theory framework, a design method of control is proposed, in which various techniques of decomposing matrices are used and the nonlinear perturbations are not counteracted by some constraint conditions. Also, a useful integral inequality is utilized to deal with the integral generated by Lyapunov functional. Finally, an example is given to illustrate the design method of the control and show the effectiveness of the developed scheme.

This paper deals with the passive control problem for uncertain neutral systems with time-varying delays via memory state feedback. Based on the stability theory of Lypunov and the decomposing and magnifying techniques of matrix, an existence condition in terms of linear matrix inequality(LMI) and an explicit formula of gains of memory state feedback controller for the unperturbed neutral systems, which guarantee the asymptotic stability and passivity of the closed-loop systems, are shown. Furthermore, the results are extended to the case in which the underlying system is dependent on the uncertain parameters. Finally, the efficiency of the proposed memory state feedback controller is demonstrated in a simulation example.

The decentralized stabilization problem for a class of uncertain large-scale interconnected systems with discrete and distributed time-delays is investigated. Based on Lyapunov stability theory, a novel Lyapunov-Krasovskii functional is constructed to reduce conservatism of the criterion in form of LMIs. To this end, some mathematical techniques are utilized flexibly. Especially, the exchange of the order of repeated integral is required. The decentralized control scheme is the general state feedback. Finally, a numerical example is given to demonstrate the validity of the results.

This paper studies the stability and stabilization problems for networked control systems with partly unknown transition probabilities by using time-varying sampling period method where the main focus is the packet-loss issue,packet-loss process is the Markovian packet-loss process and the transition probabilities does not require completely known . A developed packet dropouts dependent Lyapunov functional is used to obtain the stability criteria. The sufficient conditions for stochastic stability are derived via LMIs formulation and mode-dependent controller design is also presented. Finally, the numerical example and simulations have demonstrated the effectiveness of our result.

This paper is concerned with the observer-based control problem for a class of uncertain interconnected systems of neutral-type. The problem addressed is that of designing a full-order observer that guarantees the asymptotic stability of the error dynamic system. An novel mathematical technique is developed to solve this problem. By using the singular value decomposition technique, sufficient condition for neutral interconnected systems to be asymptotic stable is first established. Then the explicit expressions of the desired observers and controllers are derived in terms of some free parameters. Finally, an illustrative example is used to demonstrate the validity of the proposed design procedure.

This note is concerned with the H∞ control for a class of uncertain neutral systems via dynamic output feedback. In the frame of Lyapunov stability theory, in view of the nonlinearity on certain matrix variables, a mathematical technique is developed to obtain a criterion in terms of linear matrix inequalities for the existence of the anticipated controller. The parameterized characterization of the controller is achieved by solving some algebraic equations and LMIs. Besides, the norm of the transfer function from the disturbance input to the controlled output is less than the given index. A numerical example is included to illustrate effectiveness of the proposed method.

This paper investigates the robust H∞ decentralized control problem for a class of neutral interconnected systems with time-varying delays. Taking into account the action of interconnections, a novel mathematical technique is given for treating uncertain system in presence of disturbances. A H∞ decentralized control law is obtained via solving the coupled LMIs, which guarantees the closed-loop system enjoys the asymptotic stability with a prescribed index. All the developed results are tested on a representative example.

This paper considers the stabilization control problem of the non-smooth-air-gap permanent magnet synchronous motor (PMSM) chaotic systems with uncertain parameters. Based on the adaptive theory, a novel adaptive feedback controller is designed to stabilize the uncertain PMSM chaotic system to the zero equilibrium asymptotically. The asymptotic stability of the controlled PMSM chaotic system is proved based on Lyapunov stability theory. Simulation results demonstrate that the designed adaptive controller can stabilize the uncertain PMSM chaotic system successfully.

This paper investigates the guaranteed cost control and optimization design for a class of nonlinear neutral systems. Using a descriptor system model transformation approach, a sufficient condition for the existence of guaranteed cost controller is given in terms of linear matrix inequalities(LMIs). In this method, the nonlinear parameter perturbation is viewed as effective information. Further, the design of an optimal guaranteed cost controller is reduced to a convex optimization problem. Finally, two examples are given to illustrate the controller design method and show the advantages of the obtained results over the existing results in the literatures.