This paper is concerned with the problem of dynamic output feedback exponential stability control of T-S fuzzy networked control systems (NCSs) with varying communication delays. First, with consideration of varying communication delays, a new model of the networked systems is established by using the T-S fuzzy method, and a state observer is designed to estimate the unknown control disturbance. Then, a delay-dependent exponential stability criterion of closed-loop systems is derived by means of iterative technique and multiple augmented Lyapnov functionals and the linear matrix inequality (LMI) method. Furthermore, an observer-based controller is explicitly constructed to realize exponential stability control for this class of NCSs. An iterative algorithm is developed to compute the controller’s matrix by means of the Cone Complementarity Linearization Method (CCLM). Lastly, the validity and feasibility of the proposed exponential stability criterion are confirmed via a numerical simulation example.

The observer design and dynamic output feedback control for a class of nonlinear networked systems are studied in this paper. The model of the networked systems is established by using T-S fuzzy method, and the state observer of the systems is designed when the states of the systems are unknown. On this basis, the sufficient conditions for the exponential stability of the system are explored by using the linear matrix inequality (LMI) method and Lyapunov stability theory. Then, the dynamic output feedback control of the systems is designed by using the observer states, which ensures that the states of the closed-loop systems and the error systems exponentially converge to the origin at the same time. Finally, a simulation example is given to illustrate the feasibility and effectiveness of the design method.

This paper is concerned with the global prescribed-time stabilization problem for a class of uncertain high-order nonlinear systems (HONSs) with an asymmetric actuator dead-zone. Firstly, a new state-scaling transformation (SST) is developed for high-order nonlinear systems to change the original prescribed-time stabilization into the finite-time stabilization of the transformed one. The defects of the conventional one introduced in Song et al. (2017), which is unable to ensure the closed-loop stability behind a prespecified convergence time and a closed-loop system, which is only driven to the neighborhood of destination, is successfully overcome by introducing a switching mechanism in our proposed SST. Then, by using the adding a power integrator (API) technique, a state feedback controller is explicitly constructed to achieve the requirements of the closed-loop prescribed time convergence. Lastly, a liquid-level system is utilized to validate the theoretical results.

研究了带有网络诱导时延的T-S模糊系统的有限时间稳定及控制设计问题.利用模糊逼近原理建立非线性网络系统的T-S模糊模型.基于Lyapunov稳定性理论得到了系统有限时间稳定条件和模糊控制设计方法.通过数值仿真算例验证了该方法的有效性.

The exponentially stable analysis and observer-based dynamic output feedback control of T-S fuzzy networked systems with state delay and communication delay are studied in this paper. The mathematical model of networked systems with state delay and communication delay is established by T-S fuzzy method. Then, the fuzzy observer of the systems is designed by using the systems output. With Lyapunov stability theorem and linear matrix inequality method, the sufficient conditions for the exponential stability of networked systems and error systems are obtained. On this basis, the design strategy of dynamic output feedback control of networked systems is given. The simulation and experimental results show that the proposed control strategy is effective and feasible.

This paper is concerned with parameter estimation problem for squared radial Ornstein-Uhlenbeck process driven by alpha-stable noises from discrete observation. Firstly, the existence and uniqueness of solutions to the stochastic differential equation is studied. Then, the contrast function is used to obtain the least squares estimator. The strong consistency and asymptotic distribution of the estimator are investigated. Finally, some numerical calculus and simulations are given to verify the effectiveness of estimator.

在充分考虑状态时延和网络诱导时延的基础上,建立了受外界干扰影响的网络控制系统模型.利用有限时间稳定性理论分析了网络系统的暂态稳定性能.通过设计带有参数矩阵的Lyapunov函数,利用恰当的矩阵不等式变换,以线性矩阵不等式形式给出了系统有限时间稳定的充分条件,并在此基础上设计了系统的状态反馈控制.最后,把所得方法应用到2自由度振动系统并与PID控制方法进行了比较,验证了该方法的可行性与有效性.

This paper is concerned with the problem of global prescribed-time stabilization for a kind of uncertain switched nonlinear systems (SNSs) in p-normal form. Notably, the significant features of the study are that, the system under investigation possesses the switching rational powers, and the system states are driven to zero in prescribed finite time. A novel time-scale transformation is recommended which can change the original nonsingular prescribed-time stabilization problem into the finite-time stabilization problem of converted time-varying system. On basis of this, a new framework of studying state feedback stabilization within prescribed-time of SNSs is established with the aid of the common lyapunov function-based adding one power integrator (CLF-based-AOPI) technique. For arbitrary switchings, it is showed that the states of the closed-loop system (CLS) are rendered to zero in prescribed finite time. Simulation example of a liquid-level system is presented to confirm the effectiveness of the given control approach. (C) 2020 Elsevier Inc. All rights reserved.

By using linear matrix inequality approach, this paper considers the problem of anti-saturation control for marine planktonic ecological hybrid system with saturation. A new marine plankton ecosystem model is established. By analyzing the dynamic characteristics of the model, a stable condition is obtained in terms linear matrix inequality. The anti-saturation controller design method is designed. A numerical simulation is been given to verify the proposed approach.

研究了执行器饱和受限系统的鲁棒控制问题.通过提高系统状态维数的方法,借助恰当的矩阵不等式变换把执行器饱和项转化为闭环系统状态.利用线性矩阵不等式方法得到系统稳定的充分条件和控制器设计策略.通过选取带有参数矩阵的Lyapunov函数,降低了稳定性条件的保守性.最后,把所得的研究结果应用到网络遥操作机器人系统,充分验证了该方法的有效性与可行性.

In this paper,we consider the finite-time control problem of networked system with structural uncer-tainty and jamming attack.By constructing a new augmented Lyapunov function,the sufficient condition for the finite time stability of the system is explored.By involving linear matrix inequality approach,the sufficient condi-tion is reduced to a feasibility problem which is dependent on network induced delay and the bound of external disturbance.Then,the design strategy of state feedback controller is proposed,which makes the network system more suitable for engineering practice.A numerical example is presented to illustrate the effectiveness of the pro-posed method.

The problem of state feedback control for a class of uncertain systems with input 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. Finally, a numerical example is given to demonstrate the validity of the results.

Based on the logistic model, a new nonlinear dynamic model of marine plankton ecosystem is established considering the fishing behavior and the weakening effect of pollution on plankton and the self purification ability of plankton ecosystem. The dynamic characteristics of the model are analyzed by using the adaptive fuzzy variable structure control method, and the stability conditions of the marine planktonic ecosystem are obtained. On this basis, the adaptive fuzzy variable structure control of the system is designed. Finally, the feasibility and validity of this method for the study of marine planktonic ecological model are verified by numerical simulation.

The fixed-time stabilization problem is addressed in this paper for a kind of nonholonomic systems in chained form with unmatched uncertainties and time-varying output constraints. A novel tan-type barrier Lyapunov function is introduced to deal with time-varying output constraints. Under the unified framework of the considered system with and without output constraints, a state feedback controller is designed with the aid of adding a power integrator technique and switching control strategy. It is shown that the suggested controller ensures the states of closed-loop system to zero in a given fixed time without disobeying the constraints. Finally, simulation results are given to confirm the efficacy of the presented control scheme.

研究了随机时延网络系统的输出反馈控制问题.通过把网络诱导时延和数据丢包看做满足区间Bernoulli分布的等价时延,建立了随机时延网络系统模型.基于随机系统稳定性理论,以线性矩阵不等式形式给出了系统均方指数稳定条件和输出反馈控制器设计方法.仿真结果说明了该方法的有效性.

本文研究一种递进关系规划模型在高温防护服中的应用问题.论文运用傅立叶定律和热传导公式建立了一维抛物型偏微分方程,采用层层递进、分层处理的办法,将其与皮肤温度随时间变化的原始数据进行误差分析.最后,通过仿真算例说明了该方法的合理性.

The problem of anti-saturation control for a class of time-delay systems with actuator saturation is considered in this paper. By introducing appropriate variable substitution, a new delay time-delay systems model with actuator saturation systems is established. Based on the Lyapunov stability theory, the stability condition and the anti-saturation controller design method are obtained by using the linear matrix inequality approach. By introducing the matrix into the Lyapunov function, the proposed conditions are less conservative than the previous results. Finally, a simulation example shows the validity and rationality of the method.

研究了一类非线性随机网络控制系统的均方指数稳定控制问题.通过在网络诱导时延的时变区间插入分点,把网络诱导时延转化为满足区间Bernoulli分布的随机变量,并根据随机变量在不同区间上的取值,利用T-S模糊方法建立了网络控制系统新模型.把线性矩阵不等式方法应用到新模型的处理中,得到了时延依赖的指数稳定条件,给出了模糊控制的设计方法,并对一类具体的网络系统进行了数值计算和模拟仿真.

针对带有随机时延和数据包丢失的不确定离散网络系统,得到了系统的均方指数稳定控制器设计策略.通过把网络诱导时延和数据包丢失看作满足Bernoulli分布的等价时延,并结合等价时延在不同区间上的概率取值,建立了更加切合实际的网络系统数学模型,并在此基础上,结合Lyapunov稳定性理论,对网络系统的均方指数稳定性进行分析,同时给出了输出反馈鲁棒控制器设计方法.仿真算例说明了该方法的有效性.

本文以数学核心素养培养需求为导向,对师范生培养方案进行研究,构建师范生核心素养培育新模式.基于数学核心素养培育,加强与地方基础教育的合作与交流,对数学师范生教育课程体系进行重塑.围绕数学核心素养要求,构建师范生教师教育课程学习、师范生第二课堂和教育实习相结合的“三位一体”数学师范生培育新模式.