Approximation law for discrete-time variable structure control systems

Two approximation laws of sliding mode for discrete-time variable structure control systems are proposed to overcome the limitations of the exponential approximation law and the variable rate approximation law. By applying the proposed approximation laws of sliding mode to discrete-time variable structure control systems, the stability of origin can be guaranteed, and the chattering along the switching surface caused by discrete-time variable structure control can be restrained effectively. In designing of approximation laws, the problem that the system control input is restricted is also considered, which is very important in practical systems. Finally a simulation example shows the effectiveness of the two approximation laws proposed.

Variable structure control with sliding mode prediction for discrete-time nonlinear systems

A new variable structure control algorithm based on sliding mode prediction for a class of discrete-time nonlinear systems is presented. By employing a special model to predict future sliding mode value, and combining feedback correction and receding horizon optimization methods which are extensively applied on predictive control strategy, a discrete-time variable structure control law is constructed. The closed-loop systems are proved to have robustness to uncertainties with unspecified boundaries. Numerical simulation and pendulum experiment results illustrate that the closed-loop systems possess desired performance, such as strong robustness, fast convergence and chattering elimination.

Binary ABR flow control over ATM networks with uncertainty using discrete-time variable structure controller

A binary available bit rate （ABR） scheme based on discrete-time variable structure control （DVSC） theory is proposed to solve the problem of asynchronous transfer mode （ATM） networks congestion in this paper. A discrete-time system model with uncertainty is introduced to depict the time-varying ATM networks. Based on the system model, an asymptotically stable sliding surface is designed by linear matrix inequality （LMI）. In addition, a novel discrete-time reaching law that can obviously reduce chatter is also put forward. The proposed discrete-time variable structure controller can effectively constrain the oscillation of allowed cell rate （ACR） and the queue length in a router. Moreover, the controller is self-adaptive against the uncertainty in the system. Simulations are done in different scenarios. The results demonstrate that the controller has better stability and robustness than the traditional binary flow controller, so it is good for adequately exerting the simplicity of binary flow control mechanisms.

Remote Control Guidance Law Design Using Variable Structure Control

A method of sliding mode variable structure control for the missile body being a time varying system is presented. A remote control guidance law is designed. The method has strong robustness to target＇ s maneuver. To reduce the chattering phenomena, quasi-sliding mode variable structure control method is used. Simulation results show that the proposed method has small miss distance for any kind of maneuvering targets and requires small control energy.

DISCRETE VARIABLE STRUCTURE CONTROL OF LINEAR TIME-INVARIANT SYSTEMS WITH TIME DELAY

A discrete variable structure control(DVSC) method for the linear time invariant systems with time delay was presented. The continuous time delay systems are first transformed into the standard discrete form which contains no time delay by augmenting the state variables. Then the switching surface is determined by using the ideal quasi sliding mode. As it is difficult for the state trajectory to reach the switching surface exactly, the reaching condition in the form of approach law is used to design the controller. The deduced switching surface and controller contain not only the current step of state feedback but also some former steps of controls. Stability analysis with and without time delay information is also investigated in this paper. Numerical simulation was carried out to demonstrate the effectiveness and feasibility of the presented control method.

Sliding Mode Variable Structure Control for Visual Servoing System

A visual servoing tracking controller is proposed based on the sliding mode control theory in order to achieve strong robustness against parameter variations and external disturbances. A sliding plane with time delay compensation is presented by the pre-estimate of states. To reduce the chattering of the sliding mode controller, a modified exponential reaching law and hyperbolic tangent function are applied to the design of visual controller and robot joint controller. Simulation results show that the visual servoing control scheme is robust and has good tracking performance.

A Novel Genetic Algorithm and Its Application in Variable Structure Control of Robot

A novel genetic algorithm (NGA) is proposed, which possesses micro-regulation and renascence operation. The optimized variable searching interval is regulated gradually according to the sub-group of excellent individuals. The NGA is used to optimize the parameters of the variable structure control (VSC), which satisfies the new reaching law and sliding mode. It is used in robot control systems. Simulation results are given.

APPROXIMATION LAWS OF DISCRETE-TIME VARIABLE STRUCTURE CONTROL SYSTEMS

Two new approximation laws of sliding mode for discrete-time variable structure control systems are proposed in this paper. By applying the proposed approximation laws of sliding mode to discrete-time variable structure control systems,the stability of origin can be guaranteed,and the chattering along the switching surface caused by discrete-time variable structure control can be restrained effectively. In designing of these approximation laws,the problem that the system control input is restricted is also considered,which is very important in practical systems. Finally two simulation examples showing the effectiveness of the approximation laws are proposed.

Variable structure guidance law for attacking surface maneuver targets

The characteristics of surface maneuver targets are analyzed and a 3-D relative motion model for missiles and targets is established. A variable structure guidance law is designed considering the characteristics of targets. In the guidance law, the distance between missiles and targets as well as the missile-target relative velocity are all substituted by estimation values. The estimation errors, the target＇s velocity, and the maneuver acceleration are all treated as bounded disturbance. The guidance law proposed can be implemented conveniently in engineering with little target information. The performance of the guidance system is analyzed theoretically and the numerical simulation result shows the effectiveness of the guidance law.

Robust sliding mode control for uncertain discrete time systems

A novel variable structure control (VSC) strategy with a dynamic disturbance compensator based on the reaching law for a class of uncertain discrete systems is presented. The robust stability to disturbance and the system dynamics in the vicinity of the switching plane are studied. A measure of the uncertain parameters and external disturbance is obtained through delaying every sampling time. Theoretical analysis and experimental simulation results demonstrate that the dynamic performance and robustness of the closed-loop system are improved effectively.

Improving existing"reaching law"for better discrete control of seismically-excited building structures

In this paper,a novel"composite reaching law"was explained in details:1)the equation of discrete motion for a control system;2)the design of discrete-time variable structure control.In addition,the model of a three-storey shear-type building structure was used to verify the effectiveness of the discrete variable structure control method.The results of numerical example analysis of the model show that the control law can effectively reduce the peak value of seismic response of the building structure and the chattering effect of the control system.

The stochastic sliding mode variable structure guidance laws based on optimal control theory

A stochastic sliding-mode variable structure guidance law involving optimal control theory is presented for the missile target intercept model, in which state noise, uncertain system parameters, target movement and measured noise are considered. This guidance law synthesizes the merits of optimal guidance law with line-of-sight rate convergence and sliding-mode guidance law with strong robustness. Through theoretic analysis, it is proved that the sliding mode hyperplane is sub-achievable in the closed loop system. The numerical results show the effectiveness of the proposed control algorithm.

基于改进双滑模的永磁同步电机无位置传感器控制策略

针对永磁同步电机速度环传统PI控制存在动态响应差、超调量大以及传统滑模观测器观测精度低、抖振严重等问题,设计一种基于改进双滑模算法的无位置传感器控制策略。提出一种新型变指数趋近律,在此基础上结合微分积分滑模理论和新型切换函数设计滑模速度控制器代替传统PI控制器。引入扩张状态观测器补偿控制器未知扰动,实现速度环抗扰动复合滑模控制。基于Super-Twisting算法设计高阶滑模观测器并使用正交锁相环提取速度和位置信息。仿真结果表明,所设计的改进双滑模控制策略能够有效地提高系统的动态控制性能,提升观测精度,同时具有更好的抗扰动能力。

一种改进的PWM整流器滑模控制方法

传统的三相两电平脉宽调制(PWM)整流器在PI控制下的启动运行瞬间会产生较大冲击电流,易损坏电路器件,影响系统的动、稳态性能,为此,提出了一种利用指数趋近律的改进滑模变结构双闭环控制策略。首先建立PWM整流器交流侧的离散化数学模型公式,分析影响启动冲击电流的参数变量关系。对PWM整流器进行预充电,以降低启动冲击电流。同时进行电流前馈补偿,以加快系统动态响应。其次通过采用可变边界层进行滑模控制的改进,削弱系统抖动影响。通过仿真实验,验证了改进滑模控制启动比传统PI控制输出波形更平滑;当负载改变时其动态响应时间也减少。改进后的滑模变结构输出波形的抖振得到了抑制,稳定状态时期望参数变量在滑模面上的波动幅值降低,避免了控制器的高频切换。系统的动、稳态性能更好。

Shareholder Structure and Discretionary Regulation of Accounting Results in Enterprises: The Case of Cameroon

Debates on shareholder structure and discretionary management of accounting results have carried forward controversial results. This study is intended to analyze within the Cameroonian context the impact of shareholder structure on the management of accounting results in enterprises. More specifically, its objective is to analyze the impact of shareholder structure on the adjustment of regulating discretionary accounting variables. A panel of enterprises is constituted over the periods 2013, 2014, and 2015 in Cameroon. The modeling of regulating discretionary accounting variables has been carried out according to the model of Jones (1991). The different results obtained show that the degree of concentration of the capital seems not to dissuade the management of result per long-term positions. Foreign ownership and state property stimulate management by regulating discretionary accounting variables.

基于新型广义离散趋近律的微波加热温度控制

微波加热固体介质是一个介质物理参数变化和温度动态响应的复杂过程。对此,设计了一种新的微波加热系统控制策略。首先,结合双源微波加热系统模型,设计了一种能快速收敛的广义离散趋近律,并证明了趋近律能改善系统的动态性能。然后,基于该趋近律,结合干扰观测器设计了一种滑模控制算法。之后,在内部热传导损耗和外部扰动作用下,基于该滑模控制算法设计微波加热温度控制器。接着,在控制器的作用下,分析了系统在误差收敛时间、抑制扰动、消除抖振等方面的动态性能。最后,结合仿真实例说明了所提控制策略具有更高的控制精度、更短的收敛时间。

基于改进指数趋近律的永磁同步电机滑模控制

针对传统指数趋近律控制器对永磁同步电机(PMSM)的控制效果不理想、控制器鲁棒性低、抗扰性弱的缺点,设计了一种基于改进指数趋近律的滑模控制器,同时引入fal函数替换sgn函数,使切换过程更加平滑,验证了改进指数趋近律的存在性、合理性。并在MATLAB平台进行了仿真,以改进指数趋近律构建速度控制器,搭建Simulink仿真模型。仿真结果表明,该控制器相比于传统指数趋近律控制器和快速指数趋近律控制器其起动过程更加平滑、收敛速度快、系统抖振小。

不确定时延离散网络系统的变结构保成本控制

针对一类带有不确定性和状态时延的网络系统,基于Lyapunov稳定性理论,利用变结构控制方法,研究了系统的保成本控制问题。首先,通过引入恰当的离散型时延补偿器,利用线性矩阵不等式方法设计了带有补偿器的新型滑模流形,并证明了滑模流形的稳定性。在此基础上,得到了系统变结构保成本控制设计方法和最大成本值求解方法。所得条件可以利用MATLAB进行求解,并能方便求解出最大成本值。最后,通过两个数值算例验证了所提方法的可行性和有效性。

航天机电伺服组合变阻尼滑模控制技术研究

航天机电伺服系统的任务载荷复杂,尤其以摩擦力矩为主要力矩形式的喷管负载稳定性差,导致伺服控制性能出现较大的测试偏差。针对以上问题,推导了航天机电伺服系统带载数学模型,采用位置、转速双环滑模变结构控制策略以提升系统鲁棒性和抗扰能力。其次,为了优化系统动态响应性能,在传统指数型滑模趋近律的基础上,提出一种组合变阻尼滑模趋近律。仿真结果表明,所提出的组合变阻尼滑模控制算法具有更短的趋近时间和更小的抖振幅度,动态过渡过程更加平滑,进一步缓解了系统调节时间与超调量的矛盾,并且明显改善了系统频域性能,有效提升了系统频宽及相频特性的一致性。

基于改进滑模自抗扰结构的永磁同步电机伺服控制

针对传统PID控制参数适应性差、响应慢等缺点,采用自抗扰控制算法与永磁同步电机一阶速度环模型相结合,设计了基于自抗扰的速度环数学模型,并在仿真软件验证了该算法对系统鲁棒性的提升。之后,针对自抗扰算法待整定参数多,参数没有明确物理意义的问题,采用了改进的滑模自抗扰控制器,使用新型滑模趋近律代替了传统最优控制函数,改善滑模趋近运动。通过建模和仿真实验,验证了改进的滑模自抗扰结构可以缩短系统进入稳态的时间,减小系统在平衡状态下转速和转矩的抖振幅度,改善了系统动态性能和控制精度。