Adaptive Variable Structure Control of MIMO Nonlinear Systems with Time-varying Delays and Unknown Dead-zones

In this paper, adaptive variable structure neural control is presented for a class of uncertain multi-input multi-output （MIMO） nonlinear systems with state time-varying delays and unknown nonlinear dead-zones. The unknown time-varying delay uncer- tainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The approach removes the assumption of linear function outside the deadband without necessarily constructing a dead-zone inverse as an added contribution. By utilizing the integral-type Lyapunov function and introducing an adaptive compensation term for the upper bound of the residual and optimal approximation error as well as the dead-zone disturbance, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded. In addition, a modified adaptive control algorithm is given in order to avoid the high-frequency chattering phenomenon. Simulation results demonstrate the effectiveness of the approach.

ADAPTIVE VARIABLE STRUCTURE CONTROLLERS AND APPLICATION TO ENGINE IDLE SPEED CONTROL SIMULATION

A neural-network-based adaptive variable structure control methodology isproposed for the tracking problem of nonlinear discrete-time input-output systems. The unknowndynamics of the system are approximated via radial basis function neural networks. The control lawis based on sliding modes and simple to implement. The discrete-time adaptive law for tuning theweight of neural networks is presented using the adaptive filtering algorithm with residueupper-bound compensation. The application of the proposed controller to engine idle speed controldesign is discussed. The results indicate the validation and effectiveness of this approach.

Compensation for secondary uncertainty in electro-hydraulic servo system by gain adaptive sliding mode variable structure control

Based on consideration of the differential relations between the immeasurable variables and measurable variables in electro-hydraulic servo system,adaptive dynamic recurrent fuzzy neural networks(ADRFNNs) were employed to identify the primary uncertainty and the mathematic model of the system was turned into an equivalent linear model with terms of secondary uncertainty.At the same time,gain adaptive sliding mode variable structure control(GASMVSC) was employed to synthesize the control effort.The results show that the unrealization problem caused by some system's immeasurable state variables in traditional fuzzy neural networks(TFNN) taking all state variables as its inputs is overcome.On the other hand,the identification by the ADRFNNs online with high accuracy and the adaptive function of the correction term's gain in the GASMVSC make the system possess strong robustness and improved steady accuracy,and the chattering phenomenon of the control effort is also suppressed effectively.

Adaptive variable structure control for large-scale time-delayed systems with unknown nonlinear dead-zone

The problem of adaptive fuzzy control for a class of large-scale, time-delayed systems with unknown nonlinear dead-zone is discussed here. Based on the principle of variable structure control, a design scheme of adaptive, decentralized, variable structure control is proposed. The approach removes the conditions that the dead-zone slopes and boundaries are equal and symmetric, respectively. In addition, it does not require that the assumptions that all parameters of the nonlinear dead-zone model and the lumped uncertainty are known constants. The adaptive compensation terms of the approximation errors axe adopted to minimize the influence of modeling errors and parameter estimation errors. By theoretical analysis, the closed-loop control system is proved to be semiglobally uniformly ultimately bounded, with tracking errors converging to zero. Simulation results demonstrate the effectiveness of the approach.

Variable Structure Model Reference Adaptive Control with Unknown High Frequency Gain Sign

可变结构模型引用为有比一个和未知高频率获得符号大的相对的度的工厂的适应控制被建议。一个切换的计划基于为靠近的环系统的第一个辅助错误设计的监视功能被介绍。在至多切换和追踪的错误的一个有限数字收敛到能被适当地选择一些设计参数使任意地小的一个剩余集合以后，在监视函数的管理下面，切换停止，这被显示出在至多切换和追踪的错误的一个有限数字收敛到能被适当地选择一些设计参数使任意地小的一个剩余集合以后。

VARIABLE STRUCTURE MODEL－FOLLOWING ADAPTIVE CONTROL DESIGN FOR ROBOT MANIPULATORS

The increasing demand on robotic system performance leads to the use of advanced control strategies. A variable structure model-following adaptive control design is presented for the nonlinear robot manipulator systems, when subjected to fast and wide ranges of unknown-but-bounded parameter variations and disturbances. The design does not require any knowledge of a nonlinear robotic system. The system is robust and insensitive to the parameter variation, disturbances, as well as to the unmodeled dynamics. This insensitive property enables the elimination of interactions among the various joints of the robotic manipulator. In the closed loop, the robotic system asymptotically converges to the reference trajectory with a Prescribed transient resPOnse. The problem of chattering is discussed with the introduction of the special approaches: boundary layer, smoothing law, and nonlinear compensation.

Research on Variable Structure and Adaptive Control for Strap-on Rocket

Considering the increase of structural disturbance caused by large thrust misalignment and lack of synchronism after installation of the solid booster on the rock,as well as the increase of external disturbance resulting from the installation of the configuration and tail,while also considering the parameter uncertainties,parameter perturbations,unmodeled dynamics and coupling between channels during modeling,this paper proposes the design method for the adaptive control of sliding mode variable structure,based on the model reference. The paper firstly establishes the attitude dynamics model for the solid strap-on launch vehicle; then proposes the design method for the adaptive control of the sliding mode variable structure based on the model reference,implements the design of attitude control system for the three channels respectively,and uses the Lyapunov function to prove the global asymptotic stability; and finally verifies,through numerical simulation,that the control method proposed in this paper can guarantee the attitude stability of rockets in the primary flight phase.

A Variable Structure Model Reference Adaptive Control

A variable structure model reference adaptive control problem for the nonlinear system is studied in this paper. First, according to the relative degree concept of th nonlinear control system an error equation between the outputs of the reference model and the controlled plant is derived. Then, by using the variable structrue control method, an algorithm of variable structure model reference adaptive control is deduced on the basis of a new concept of reaching law. The definition of the SISO system is introduced into the MIMO nonlinear system. Finally, as an example, a pendulum nonlinear control system is simulated to demonstrated the effectiveness of the method. The results show that the method has some advantages: the design is simple, intuitive and easy to be realized in engineering. Besides, it is of practical significance for the synthesis of nonlinear control systems.

Adaptive Neural Control for a Class of Low-triangular-structured Nonlinear Systems with H-∞ Performance Analysis

In this paper, a neural-network-based variable structure control scheme is presented for a class of nonlinear systems with a general low triangular structure. The proposed variable structure controller is proved to be Cl, thus can be applied for backstepping design, which has extended the scope of previous nonlinear systems in the form of strict-feedback and pure-feedback. With the help of neural network approximator, H-∞ performance analysis of stability is given. The effectiveness of proposed control law is verified via simulation.

Adaptive Sliding Mode Control for MIMO Nonlinear Systems Based on Fuzzy Logic Scheme

In this study an indirect adaptive sliding mode control (SMC) based on a fuzzy logic scheme is proposed to strengthen the tracking control performance of a general class of multi-input multi-output (MIMO) nonlinear uncertain systems. Combining reaching law approach and fuzzy universal approximation theorem, the proposed design procedure combines the advantages of fuzzy logic control, adaptive control and sliding mode control. The stability of the control systems is proved in the sense of the Lyapunov second stability theorem. Two simulation studies are presented to demonstrate the effectiveness of our new hybrid control algorithm.

Variable structure control for MRAC systems with perturbations in input and output channels

A design scheme of variable structure model reference control systems using only input and output measurements is presented for the systems with unmodeled dynamics and disturbances in input and output channels. The modeled part of the systems has relative degree greater than one and unknown upper bound of degree. By introducing some auxiliary signals and normalized signals with memory functions and appropriate choice of controller parameters, the developed variable structure controller guarantees the global stability of the closed-loop system and the arbitrarily small tracking error.

基于混沌控制的采摘机器人防碰撞系统设计

针对采摘机器人在作业过程中遇到障碍物导致路径规划出现混沌现象的问题,基于混沌控制对采摘机器人防碰撞系统进行设计,并采用模糊自适应控制算法和滑模变结构控制算法结构的方式对系统进行控制。为了验证防碰撞系统的有效性,对采摘机器人进行了防碰撞和采摘仿真试验,结果表明:采摘机器人在作业过程中可以避开障碍物,按照规划路线到达预设位置,完成果蔬的采摘。

融合反步法的无人驾驶汽车轨迹跟踪控制方法

为了解决无人驾驶汽车轨迹跟踪控制的准确性、稳定性和快速性问题,将反步法分别融合滑模变结构控制和模糊自适应控制.建立车辆三自由度运动学位姿误差微分方程,推导了基于反步法的车速和横摆角速度控制律,结合Lyapunov稳定性判据验证了系统稳定性.分别建立融合反步法的滑模变结构和模糊自适应轨迹跟踪控制方法,结合轨迹跟踪稳态误差、超调量和调整时间,验证、比较了控制方法准确性、稳定性和快速性3种性能的优劣.结果表明:融合反步法的滑模变结构轨迹跟踪控制的稳定性最好,轨迹跟踪超调量接近于0;融合反步法的模糊自适应轨迹跟踪控制快速性最好,轨迹跟踪调整时间相对于反步法缩短了18.2%.

仿真转台控制系统变结构自适应控制技术研究

仿真转台是航空航天及工业领域重要的仿真设备。为了使仿真转台控制系统适应负载转动惯量变化,并增强其对控制系统数学模型参数摄动、外界干扰等的鲁棒性,现将自适应理论应用于仿真转台的伺服控制系统,并使用变结构滑模控制设计控制律,添加全程滑动模态因子,设计了一种基于现代控制的复合自适应控制器。使用Simulink和Matlab搭建仿真环境,在20 Hz的正弦信号下得到负载变化前后的仿真结果。PID控制系统和自适应控制系统的响应幅值误差分别增大了3.6%和1.3%,证明了自适应控制有效地降低了系统的误差。当输入阶跃信号时,自适应控制系统将稳态误差由3.2%减小到0.3%。最后在仿真转台上进行了实物实验。在幅值0.1°频率20 Hz的正弦信号下,添加负载及干扰后,PID控制系统的响应幅值误差增大了6.6%,而自适应控制系统的幅值误差仅增大2.4%,比PID控制系统误差变化小。实验结果表明,自适应控制器的控制效果优于PID控制器,所设计的自适应控制器提高了控制系统对负载变化和干扰的鲁棒性。

Adaptive Stabilization of Neural Control for Robot Trajectory Tracking

A neural network (NN) based adaptive control law is proposed for the tracking control of an n link robot manipulator with unknown dynamic nonlinearities. Basis function like nets are employed to approximate the plant nonlinearities, and the bound on the NN reconstruction error is assumed to be unknown. The proposed NN based adaptive control approach integrates an NN approach with an adaptive implementation of discrete variable structure control with a simple estimation law to estimate the upper bound on the NN reconstruction error and an additional control input to be updated as a function of the estimate. Lyapunov stability theory is used to prove the uniform ultimate boundedness of the tracking error.

交流电机无速度传感器矢量控制系统变结构模型参考自适应转速辨识

针对变结构控制在参数变化等不确定因素满足“匹配条件”即变化有界时,具有抗外部干扰和内部参数摄动的鲁棒性,但实际中要确定不确定性参数变化的上下界有一定难度的特点。文中基于变结构控制和自适应控制理论,提出一种新颖的变结构模型参考自适应(VS-MRAS)观测器,用于交流电机无速度传感器矢量控制系统的转速辨识。该法将变结构和MRAS进行有机的整合,利用MRAS对系统参数变化的适应能力实时估算不确定因素变化的边界,以改善磁链观测的准确性,进而提高转速辨识的精度。利用仿真方法,对比分析了带速度检测装置的矢量控制系统、基于MRAS转速辨识的无速度传感器矢量控制系统和基于VS-MRAS转速辨识的无速度传感器矢量控制系统的3种情况下转速和磁链响应的动静态性能。证实该方法提高了转子磁链观测的准确度,改善了转速估计的动静态性能。

基于零脱靶量设计的变结构末制导律

对于三维目标拦截问题,提出了一种新的具有强鲁棒性的末端导引律。该方法将目标的机动加速度视为已知的有界扰动,考虑了导弹自动驾驶仪的动态特性,基于导弹对目标的零脱靶量综合设计了非线性三维变结构鲁棒末制导律。理论分析与数字仿真表明这种制导律不但具有优良的弹道特性,而且对目标机动都具有很强的鲁棒性和适应性,同时方法简单,易于理解,便于工程应用。

超空泡航行体的增益自适应变结构控制设计

针对超空泡航行体在实际巡航时具有其独特的运动特性,同时存在流体动力系数的摄动及尾部流体未知干扰等问题,提出了增益自适应变结构的控制方法。首先改进了目前普遍采用的超空泡航行体的数学模型,借鉴Backstepping思想设计了滑动模态面;采用增益自适应算法对干扰未知上界进行了估计,最后设计了基于变结构理论的控制器,并进行了数学仿真。仿真结果表明:该系统响应快速,具有很好的鲁棒稳定性能。

四轮转向汽车自适应模型跟踪控制研究

使用单点预瞄驾驶员模型,针对确定性汽车模型探讨了4WS汽车在单移线行驶过程中后轮的最优转向控制规律。通过引入状态反馈,改善了整车的转向特性。将实际汽车的前后轮胎侧偏刚度及外界干扰视为有界的不确定性参数,采用自适应模型跟踪变结构控制方法,使得不确定的实际汽车模型能够很好地跟踪确定性的最优理论模型。仿真结果表明该方法的可行性,控制系统能够有效地克服参数摄动及外界干扰对系统稳定性的影响。

基于非线性输入控制实现受扰混沌系统同步

针对一类受扰混沌系统的同步控制,采用具有扇区非线性输入的自适应滑膜变结构控制器,设计了相应的控制律和自适应律。在该控制器的作用下,实现了驱动系统和响应系统的同步控制,且不受扇区非线性输入、参数失配及外部干扰的影响,具有有很强的鲁棒性。所设计的控制策略简单,易于实现,而且没有强加在系统上的限制条件,因此应用范围较广。理论分析和数值仿真证明了该方法的有效性。