Sliding Mode Control for Linear Systems with Time-Varying Input and State Delays

This paper deals with a sliding mode control for linear systems with input and state time-varying delays. Two different time delays are considered for the sliding mode control of a continuous linear system. Delay-dependent sufficient conditions are given for the existence of sliding manifolds in terms of linear matrix inequalities. A reaching motion controller is also proposed for such systems by means of both reaching law and inequality approach. An inverted pendulum system is utilized to illustrate the effectiveness of the developed techniques.     

Global Robust Sliding Mode Control for Time-Delay Systems with Mismatched Uncertainties

A novel robust sliding mode control method for time-delay systems with mismatched uncertainties is presented, taking into consideration of both the norm-bounded mismatched uncertainties in the input matrix and the unknown input disturbance. First of all, an original time-delay system is changed into a new form without time delay via a nonsingular transformation, based on which, an integral sliding mode controller is then designed in the form of linear matrix inequalities, to guarantee the existence of the sliding motion from the initial time. In order to estimate the upper bound of unknown input disturbance, a new adaptive law is also proposed. Finally, a numerical simulation case is given to show the effectiveness of the proposed method.     

Frequency-Shaped Sliding Mode Control Using Output Sampled Measurements

In this paper, a method is presented for frequency-shaped sliding mode control using output feedback. A compensator is introduced in the sliding surface to attenuate the certain frequency component of the sliding mode dynamics. The output is measured at a faster rate than the control input to estimate the states of the system. The proposed output feedback frequency-shaped sliding mode controller is designed for the vibration suppression of intelligent structure. The simulation and experimental results show the efficacy of the method.     

压电悬臂梁振动模糊滑模控制

针对压电悬臂梁的振动问题,该文提出了一种模糊滑模主动控制策略,以在抑制悬臂梁振动的基础上减小抖振。根据均质梁单元和压电梁单元运动方程引入状态向量,建立了压电悬臂梁的状态空间方程。通过平衡截断法对压电悬臂梁模型进行降阶,以提高计算效率,并以降阶模型为对象设计了模糊滑模控制器。运用模糊规则调节切换增益,饱和函数替换符号函数,有效地减小了滑模控制的抖振现象,利用Lyapunov函数证明其稳定性。结果表明,基于饱和函数的模糊滑模控制不仅能控制压电悬臂梁的振动,还能降低抖振现象。     

Event-triggered type-2 fuzzy-based sliding mode control for steer-by-wire systems

This paper proposes an event-triggered higher-order sliding mode control for steer-by-wire (SbW) systems subject to limited communication resources and uncertain nonlinearity. First, an interval type-2 fuzzy logic system (IT2 FLS) is adopted to approximate the uncertain nonlinearities. A fuzzy-based state observer is developed to estimate unavailable states of the extended SbW system. Then, to save communication resources and eliminate chattering, an event-triggered higher-order sliding mode control is proposed for the SbW system. The key advantage is that the proposed control scheme can offset the observation error and the event-triggering error. After that, the practical finite-time stability of the closed-loop SbW system is proved in the framework of the Lyapunov theory. Finally, numerical simulations and vehicle experiments are given to evaluate the effectiveness and superiority of the proposed scheme.     

采用滑模观测器的机载激光通信视轴精度控制

为了提高机载激光通信系统在机体振动和机械摩擦等扰动下的视轴对准精度,提出了一种基于滑模观测器的反步滑模控制方法。首先建立了机载激光通信系统的数学模型,然后通过设计的滑模观测器对扰动值进行估计,同时针对指令转换模块、激光通信模块和电机模块逐步设计了反步滑模控制律,实现对机载激光通信系统视轴的高精度控制。实验结果表明:提出的方法与分数阶PID控制方法相比突出了更优的快速性和准确性,响应时间仅为0.4 s,最大空间对准误差仅为0.3 m,设计的滑模观测器能够快速、准确地估计出扰动值,响应时间仅为0.3 s,最大估计误差分别仅为0.1 m/s、0.06 (°)/s2 和0.07 A/s,大幅提高了机载激光通信系统中视轴的对准精度。     

Precise friction control for the nonlinear friction system using the friction state observer and sliding mode control with recurrent fuzzy neural networks

This paper deals with a tracking control problem of a mechanical servo system with nonlinear dynamic friction which contains a directly immeasurable friction state variable and an uncertainty caused by incomplete parameter modeling and its variations. In order to provide an efficient solution to these control problems, we propose a composite control scheme, which consists of a friction state observer, a RFNN approximator and an approximation error compensator with sliding mode control. In first, a sliding mode controller and friction state observer are designed to estimate the unknown internal state of the LuGre friction model. Next, a RFNN is developed to approximate an unknown lumped friction uncertainty. Finally, an adaptive error compensator is designed to compensate an approximation error of RFNN. Some simulations and experiments on the mechanical servo system composed of ball-screw and DC servo motor are executed. Their results give a satisfactory performance of the proposed control scheme.     

MOSFET Converter-Fed Position Servo System with Sliding Mode Control

Sliding mode control is an effective means to keep a system insensitive to parametric variations and disturbances. In the conventional sliding mode control applied to position servo systems, the sliding mode regime is restricted near the origin, and, therefore, insensitivity cannot be ensured throughout an entire response. This paper presents a new method in which a sliding curve is used instead of a straight line. The sliding curve is defined in such a way that in general the system responds following a max acceleration curve, then a max speed curve, and finally a max deceleration curve. Experimental results confirm that the new method can keep the system robust completely throughout a transient response, which demonstrates the advantage of the proposed sliding curve over the conventional sliding mode strategy.     

直流微电网双向AC/DC变换器鲁棒前馈控制策略研究

针对双向AC/DC功率变换器在直流微电网母线电压稳定性方面的问题,文中提出了一种结合LESO和滑模理论的前馈鲁棒控制策略。通过建立直流微电网三相AC/DC双向功率变换器的动态数学模型,架构了三阶线性扩张状态观测器,并将三阶LESO的观测值用于滑模控制器的设计。该控制策略能够在不需要额外电流传感器的情况下实现前馈控制,并确保系统具有良好的动态性能。该策略还能够有效降低滑模控制的实现难度,提高系统的鲁棒性。仿真分析验证了文中所提控制策略的有效性。     

Indirect Sliding Mode Control of Power Converters Via Double Integral Sliding Surface

The steady-state regulation error in power converters that use the conventional hysteresis-modulation-based sliding mode controller can be suppressed through the incorporation of an additional integral term of the state variables into the controller. However, it is found that with the indirect type of sliding mode controller (derived based on the equivalent control approach), the same approach of integral sliding mode control is ineffective in alleviating the converter's steady-state error. Moreover, the error increases as the converter's switching frequency decreases. This paper presents an in-depth study of the phenomenon and offers a solution to the problem. Specifically, it is proposed that an additional double-integral term of the controlled variables to be adopted for constructing the sliding surface of indirect sliding mode controllers. Simulation and experimental results are provided for verification.     

滑模控制开关变换器的分析与实现

分析了滑模控制DC／DC变换器的滑模存在条件、到达条件及稳定性，通过选择适当的状态变量，建立系统状态方程模型。提出了一种实用性较强的双环控制方案，并以Buck电路为例，设计出滑模控制电路。实验结果表明，此控制方案是可行的，它可以有效地改善变换器的动态性能，提高其鲁棒性。     

Control algorithm with variable structure for incomplete information on state of system

The letter deals with the problem of synthetising a control with a variable structure to obtain a sliding mode, when complete information on the state of the system is not available. A control algorithm for a 3rd-order system is proposed involving only the error and its first derivative.     

DC/DC开关变换器滑模变结构控制的新方案

本文在滑模等价控制的基础上,考虑实际控制中的非理想切换条件,提出了一种适合PWM型DC/DC开关变换器的滑模变结构控制算法简单的新方案.该控制算法依开关工作周期,动态地对滑模误差进行修正,从而动态地补偿控制量的大小,将有利于近似地保证系统沿着切换面运动,并可以减少系统稳态误差,达到削弱乃至消除高频抖动的目的.以Boost变换器为例的仿真结果表明,本文的控制方案可以减少系统超调,缩短过渡过程时间,改善系统的动态品质,并有效地解决滑模控制中的高频抖动问题.     

Adaptive Fuzzy Sliding Mode Control Algorithm for a Non-Affine Nonlinear System

This paper concerns the design of robust controller for a nonlinear system that can be represented or approximated in a non-affine form. The control algorithm is based on sliding mode control that incorporates a fuzzy tuning technique, and it superposes equivalent control, switching control, and fuzzy control. An equivalent control law is firstly designed based on a nominal system model that was obtained by using curve fitting techniques under MATLAB. Switching control is then added to guarantee that the state reaches the sliding surface in the presence of parameter and disturbance uncertainties. Also, fuzzy tuning schemes, which can be supported by learning techniques derived from neural networks, are employed to improve control performance and to reduce chattering in the sliding mode. To verify the performance of this controller, an experimental platform of a pneumatically actuated top-guided single-seated control valve, which belongs to a classical complex nonlinear system, was constructed. Also, the experimental results show that high performance and attenuated chatter are achieved and thus verify the validity of the proposed control approach to dynamic systems characterized by severe uncertainties.     

Boost变换器的PID型滑模控制

以实现Boost变换器良好的动静态控制特性为目的,研究了变换器的PID型滑模控制策略。给出了PID型滑模电压控制状态表达式,并建立了该滑模控制变换器系统模型;设计了滑模切换面函数形式,推导出系统等效控制表达式;采用光滑函数方法降低滑模控制系统的抖振现象,得出了增加去抖振措施的控制表达式;给出了滑模切换面参数的选择方法。通过仿真与实验,验证了基于PID型滑模控制的Boost变换器系统理想的启动和扰动调节特性。     

三轴机载光电系统的模糊滑模鲁棒控制方法

为了克服机体振动和气流扰动对三轴机载光电系统对准精度的影响,提出了一种模糊滑模鲁棒控制方法。首先根据坐标转换关系建立了三轴机载光电系统的数学模型,然后引入模糊算法准确估计干扰大小,并设计了模糊滑模鲁棒控制律,最后给出了稳定性分析,能够确保三轴机载光电系统对目标方位的高精度跟踪。仿真结果表明:提出的方法与分数阶控制方法相比,表现出了更优的控制效果,可在300 ms内稳定跟踪指令信号,最大干扰估计误差仅为0.2 N·m,且具有更高的控制精度,对俯仰角、滚转角和航向角的最大跟踪误差分别仅为0.5°、0.7°和0.4°,大幅提高了三轴机载光电系统的对准精度。     

Dithered Sliding-Mode Control for Switched Systems

Dithering is proposed as a technique for the regulation of the boundary layer for switched systems under sliding-mode control. It is proved that dithering maintains the state of the system close to the ideal sliding manifold and that state error and practical stability depend on the dither amplitude, period, and shape, all by preserving the natural switching mode of the system. Experiments on a dc/dc buck power converter confirm the theoretical results.     

一种改进的时间最优控制算法

雷达进行目标跟踪时,天线需要在不同的目标间进行大角度切换,而时间最优控制算法可以使电机获得最大的驱动能力并驱动天线快速地切换到目标。针对该算法中的"颤振"问题,提出了在开关线两侧设置"缓冲区"的实用型改进算法。此外为了提高系统的稳态性能,当运动至目标位置邻域时,由时间最优控制算法切换为滑模变结构控制算法。工程应用结果表明,该组合控制算法有效地解决了时间最优控制在实际应用中的"颤振"问题,并能保持很好的稳态性能。     

Fuzzy sliding mode control for a class of piezoelectric system with a sliding mode state estimator

A new fuzzy sliding mode hysteresis compensating control strategy for a kind of typical piezoelectric system (PES) is proposed in this paper. Firstly, a typical nonlinear dynamic model of the PES is introduced. In order to compensate the hysteresis of the PES, an ideal linear hysteretic model is introduced by analyzing the characteristic of dynamic hysteretic model. Then, the ideal hysteretic model is transformed into an expected linear model by multiplying a slope conversion factor which can be obtained by experiment. Further, the sliding mode control principle is constructed to calculate the hysteretic compensating control law, which can guarantee the practical hysteretic characteristic to reach the expected linear output feature. Consider the unmeasured hysteresis output of the PES, we further design a sliding mode estimator to estimate the hysteretic part’s output. Finally, we derive the adaptive law of the fuzzy sliding mode controller, and demonstrate its stability through Lyapunov stability theory. The simulation results show the validity of the sliding mode compensator for this kind of nonlinear dynamic model of PES.     

Robust Adaptive Sliding Mode Control for Nonlinear Uncertain Neutral Markovian Jump Systems

This paper investigates the robust adaptive sliding mode control problem for a class of nonlinear uncertain neutral Markovian jump systems. In this study, the system state is unmeasurable and the upper norm bounds of the nonlinear functions are unavailable. An observer-based adaptive sliding mode controller is synthesized to render the resulting error system stochastically stable with a prescribed disturbance attenuation level. Finally, a numerical example is exploited to demonstrate the effectiveness of the control scheme.