Fuzzy adaptive high-gain-based observer backstepping control for SISO nonlinear systems

In this paper, a new fuzzy adaptive control approach is developed for a class of SISO strict-feedback nonlinear systems, in which the nonlinear functions are unknown and the states are not available for feedback. By fuzzy logic systems to approximate the unknown nonlinear functions, a fuzzy adaptive high-gain observer is designed to estimate the unmeasured states. Under the framework of the backstepping design, fuzzy adaptive output feedback control is constructed recursively. It is shown that the proposed fuzzy adaptive control approach guarantees the semi-global boundedness property for all the signals of the resulting closed-loop system. Simulation results are included to illustrate the effectiveness of the proposed techniques.     

基于干扰观测器的一类不确定仿射非线性系统有限时间收敛backstepping控制

针对一类不确定仿射非线性系统的跟踪控制问题,提出一种基于干扰观测器的有限时间收敛backstepping控制方法.为增强小脑模型(CMAC)泛化和学习能力,将非对称高斯函数和模糊理论相结合,给出非对称模糊CMAC结构,设计干扰观测器实现系统未知复合干扰在线准确逼近;基于非对称模糊CMAC干扰观测器,给出有限时间收敛backstepping控制器设计步骤,利用Lyapunov稳定理论证明闭环系统稳定性,其中采用非线性微分器获取虚拟控制量滤波和微分信息以避免backstepping设计中的微分“膨胀问题”,设计辅助系统修正因微分器带来的误差对系统跟踪性能影响,引入基于障碍型函数的自适应滑模鲁棒项抑制复合干扰估计偏差对跟踪误差的影响;将所提方法应用于无人机飞行控制仿真实验,结果表明所提方法的有效性.     

Robust backstepping control for a class of nonlinear systems using generalized disturbance observer

This paper presents a new composite robust controller for a class of uncertain nonlinear systems through backstepping method and disturbance observer (DOB) technique. By designing a generalized disturbance observer (GDOB), the mismatched/matched uncertainty is estimated and compensated at each backstepping step. By virtue of the proposed GDOB, the proposed controller only requires the lumped uncertainties are differentiable and the higher-order derivatives are bounded. With the help of GDOB, the high-gain backstepping controller is also avoided completely. Asymptotical stability of the closed-loop system is established using direct Lyapunov method. An illustrative example of missile autopilot design is given and simulations are carried out to validate the proposed method.     

基于干扰观测器的高超音速飞行器鲁棒反步控制

针对高超音速飞行器严格反馈不确定非线性MIMO系统,提出一种基于干扰观测器的鲁棒反步控制方法。该方法采用超扭曲算法设计干扰观测器以估计系统复合干扰,观测误差有限时间收敛。设计非线性反步控制律,引入鲁棒项使得系统满足干扰到性能输出的L2增益不超过设定的正实数,满足耗散不等式,使闭环系统跟踪误差一致最终有界稳定。仿真结果表明,所设计的控制律可以有效抑制系统复合干扰的影响,设计方法可行。     

Disturbance observer for non-minimum phase linear systems

Disturbance observer (DOB) approach has been widely employed in the industry thanks to its powerful ability to attenuate disturbances and compensate plant uncertainties. Motivated by the fact that the application of the DOB approach has been limited to minimum phase systems, we propose a new DOB configuration for non-minimum phase systems. Rigorous analysis for robust stability and performance recovery is presented in terms of a new filter Θ (s). By restricting the plant uncertainty to a multiplicative perturbation, we also present a systematic design methodology for the filter Θ(s) by virtue of the H_∞ synthesis technique. An illustrative example of autopilot design is presented to show the effectiveness of the proposed method for which it is not easy to design H_∞ controller to achieve some control goals. The simulation results show that the response of the perturbed system in the presence of disturbance can be recovered to the nominal system response in the absence of disturbance.     

基于非线性干扰观测器的翼伞鲁棒反步跟踪控制

针对干扰条件下的无人翼伞飞行器路径跟踪控制问题,提出一种基于非线性干扰观测器的反馈增益鲁棒反步控制方法.采用二阶跟踪-微分器设计干扰观测器对系统复合干扰进行估计和补偿,设计了反馈增益反步跟踪控制律,通过合理设计增益参数,消除了部分复杂非线性项,避免了虚拟量高阶导数问题,简化了控制器形式.根据Lyapunov理论设计鲁棒反馈补偿项,在保证稳定性的同时提高了系统的鲁棒性.仿真实验结果验证了所提出方法的有效性.     

Modified error decentralized control with observer backstepping

In this paper, an output feedback version of the modified error method is presented, for linear coupled plants. The novelty lies in the combination of a modified control function of Lyapunov with the observer backstepping technique to obtain a totally decentralized output feedback scheme. Furthermore, the design algorithm is presented in a new recursive form that goes beyond the general expressions yielded by the backstepping. The decentralization, i.e. the elimination of the cross-terms from the obtained multivariable controller, is rendered possible by a new choice of the regulated errors in the backstepping procedure. The internal stability and the tracking performances of the closed-loop system are still preserved, as long as the observer convergence is guaranteed and the H X -norm of the plant interaction quotient is less than one. The developed scheme is successfully applied to the control of a rougher flotation phenomenological simulator.     

Adaptive observer backstepping control using neural networks

This paper extends the application of neurocontrol approaches to a new class of nonlinear systems diffeomorphic to output feedback nonlinear systems with unmeasured states. A neural-based adaptive observer is introduced for state estimation as well as system identification using only output measurements during online operation. System identification is achieved via the online approximation of a priori unknown functions. The controller is designed using the backstepping control design procedure. Leakage terms in the adaptive laws and nonlinear damping terms in the backstepping controller are introduced to prevent instability from arising due to the inherent approximation error. A primary benefit of the online function approximation is the reduction of approximation errors, which allows reduction of both the observer and controller gains. A semi-global stability analysis for the proposed approach is provided and the feasibility is investigated by an illustrative simulation example.     

Adaptive fuzzy observer backstepping control for a class of uncertain nonlinear systems with unknown time-delay

In this paper, a new adaptive fuzzy backstepping control approach is developed for a class of nonlinear systems with unknown time-delay and unmeasured states. Using fuzzy logic systems to approximate the unknown nonlinear functions, a fuzzy state observer is designed for estimating the unmeasured states. On the basis of the state observer and applying the backstepping technique, an adaptive fuzzy observer control approach is developed. The main features of the proposed adaptive fuzzy control approach not only guarantees that all the signals of the closed-loop system are semiglobally uniformly ultimately bounded, but also contain less adaptation parameters to be updated on-line. Finally, simulation results are provided to show the effectiveness of the proposed approach.     

Disturbance observer based multi-variable control of ball mill grinding circuits

Ball mill grinding circuits are essentially multi-variable systems characterized with couplings, time-varying parameters and time delays. The control schemes in previous literatures, including detuned multi-loop PID control, model predictive control (MPC), robust control, adaptive control, and so on, demonstrate limited abilities in control ball mill grinding process in the presence of strong disturbances. The reason is that they do not handle the disturbances directly by controller design. To this end, a disturbance observer based multi-variable control (DOMC) scheme is developed to control a two-input-two-output ball mill grinding circuit. The systems considered here are with lumped disturbances which include external disturbances, such as the variations of ore hardness and feed particle size, and internal disturbances, such as model mismatches and coupling effects. The proposed control scheme consists of two compound controllers, one for the loop of product particle size and the other for the loop of circulating load. Each controller includes a PI feedback part and a feed-forward compensation part for the disturbances by using a disturbance observer (DOB). A rigorous analysis is also given to show the reason why the DOB can effectively suppress the disturbances. Performance of the proposed scheme is compared with those of the MPC and multi-loop PI schemes in the cases of model mismatches and strong external disturbances, respectively. The simulation results demonstrate that the proposed method has a better disturbance rejection property than those of the MPC and PI methods in controlling ball mill grinding circuits.     

基于观测器的非线性网络控制系统容错控制

研究了一类基于观测器的非线性连续网络控制系统容错控制器设计问题.针对传感器采用时间驱动方式,控制器和执行器均采用事件驱动方式的网络控制系统,设计了观测器,建立了基于状态观测器的增广闭环系统模型.利用线性矩阵不等式和自由权矩阵的方法,推导出闭环系统渐近稳定的充分条件,给出了观测器和容错控制器协同设计的方法.实例仿真证明了所用方法的有效性.     

基于非线性干扰观测器的减摇鳍滑模反演控制

利用一种非线性干扰观测器观测减摇鳍系统的不确定性和随机海浪干扰,通过选择设计参数使观测误差指数收敛.针对引入非线性干扰观测器后的系统采用滑模反演法设计控制器,控制律的设计保证了闭环系统的稳定性.仿真结果表明,在不同浪向角和航速的各种海况下采用该控制策略,系统均能取得较好的减摇效果,同时能很好地克服对象的不确定性和随机海浪干扰,鲁棒性较强.     

基于Internet的遥操作系统带观测器的反馈控制

通常遥操作系统主、从机械手间存在通信时延,影响了系统的稳定性和操作性能.在基于Internet的遥操作系统中,时延是时变的,对系统的影响尤为剧烈.为了解决这个问题,在环境模型未知的条件下,首先提出在本地控制端用主手状态、预测的从手状态及接触力设计反馈控制器;接着用时间前向观测器预测从机械手的状态,并将时延变化率建模为系统不确定参数,最终得到稳定性和透明性条件.仿真结果表明了该方法的有效性.     

基于扩张状态观测器和反步滑模法的四旋翼无人机轨迹跟踪控制

为了解决欠驱动四旋翼无人机（UAV）在实际飞行中存在的外界干扰问题,同时提高在系统参数摄动情况下的精确轨迹跟踪效果,设计了一种基于扩张状态观测器（ESO）和积分型反步滑模算法的飞行控制策略。首先,根据系统的半耦合特性和严反馈结构特点,采用反步法设计姿态内环和位置外环控制器;然后,将抗干扰能力较强的滑模控制融入其中,使得系统的鲁棒性得到增强;接着,为了减小系统的稳态误差,引入积分环节;最后,利用ESO实时估算出系统的内、外总扰动并对控制量进行补偿。通过Lyapunov稳定判据,可以说明该系统是一个全局渐进稳定的系统,并通过仿真分析验证了所提控制方法的有效性和鲁棒性。     

基于反演算法的严格反馈非线性系统固定时间跟踪控制

针对一类严格反馈非线性系统,研究固定时间跟踪控制问题.基于反演控制策略及Lyapunov稳定性理论,给出使系统全局固定时间稳定的充分条件和设计步骤.所提出的反演控制方案可以消除控制器存在的奇点问题,保证系统的跟踪误差在固定时间内收敛于原点的一个小邻域内,且收敛时间与系统的初始状态无关.最后,通过一个数值仿真示例验证了所提出设计方案的有效性.     

遥操作系统基于观测器的预测控制

在遥操作系统中需要主、从机械手间进行通信,但通信通道中存在较大的通讯时延,这会降低系统操作性能,甚至会使系统不稳定.为了解决这个问题,首先建立系统的状态空间模型,接着提出用时间前向观测器预测从机械手状态,并结合力、位置和速度反馈消除或减小时延对系统影响.系统反馈参数可方便地通过线性矩阵不等式求解.该方法能使系统渐近稳定而且具有良好的透明性.仿真结果表明该方法是有效的.     

基于扩张状态观测器和反步法的非线性超空泡航行体纵向控制

考虑空泡记忆效应的超空泡航行体控制难度较大,主要体现在滑行力的强非线性、模型中的时延特性以及运动中的未知扰动.对于此类多输入多输出的复杂非线性系统,利用传统反步法控制器设计思想,将其改进以适用于超空泡航行体的纵向运动控制.为了对系统模型中存在的未知扰动进行观测补偿,本文设计了线性扩张状态观测器(LESO),将扰动估计值与控制器设计相结合,使用Lyapunov方法分析系统稳定性.最后在不同条件下进行仿真,结果验证了所设计的LESO估计未知扰动的准确性,以及所提控制方法对超空泡航行体纵向控制的有效性.     

Inertia-related coupling torque compensator for disturbance observer based position control of robotic manipulators

We propose an inertia-related coupling torque (IRCT) compensator for disturbance observer (DOB)-based position control of multi-link robotic manipulators. The proposed compensator reduces the DOB estimation error that is due to input with high-frequency components. To analyze the compensated system, the state space model is converted to singular perturbation form and the stability of the proposed system is also addressed. Numerical simulations and experimental results show the effectiveness of the proposed compensator.     

High-order sliding-mode observer based output feedback adaptive robust control of a launching platform with backstepping

A kind of launching platform driven by two permanent magnet synchronous motor (PMSM) motors which is used to launch kinetic load to hit the target, always faces strong parameter uncertainties and strong external disturbance such as the air current impulsion, which would degrade their tracking accuracy greatly. In this paper, an adaptive robust nonlinear controller is proposed for high-accuracy motion control of the launching platform, in which the adaption law is designed to estimate the unknown coupling coefficients of torque disturbance and feed-forward cancellation technique is used to compensate the coupling torque disturbance and some other constant disturbances. In addition, a nonlinear robust feedback term is designed to inhibit the influence of the parameter estimation error and the other model uncertainty to stabilise the closed-loop system. Considering that some system states are immeasurable due to cost-reduction, volume/weight limitations and structure restriction or heavy measurement noise is usually associated with the measurements, which may also deteriorate the achievable performance of full-state feedback controllers; a high-order sliding-mode observer is used to estimate the unmeasured system states, and it is synthesised with the adaptive robust controller via feed-forward cancellation method. The intermediary virtual control law and the final control law are derived by integrating the backstepping method. Furthermore, the controller theoretically guarantees a prescribed tracking transient performance and final tracking accuracy while achieving asymptotic tracking performance in the presence of parametric uncertainties only, which is very important for high-accuracy tracking control of launching platform. Extensive comparative experimental results are obtained to verify the high performance nature of the proposed control strategy.