Stability analysis of a combined direct variable structure adaptive control – the discrete‐time case

This paper presents the proofs of robust stability of a discrete‐time robust model reference controller combined with variable structure in an adaptive framework. All the proofs of robust stability are derived for the discrete‐time case and are similar to those already existing for the conventional non‐combined case. The controller is applied to a SISO LTI plant with unmodeled dynamics of multiplicative and additive types. It is shown that the combined controller can arbitrarily improve the convergence of the error while maintaining the robustness if compared with the non–combined case. Simulation results illustrate the performance of the proposed control strategy. Copyright © 2016 John Wiley & Sons, Ltd.     

Robust and simple adaptive control system design

Recently, the simple adaptive control (SAC) method has attracted considerable interest because of the simple structure of its adaptive controller. The method can only be applied to plants with so-called almost strictly positive real (ASPR) characteristics. Unfortunately, most real plants do not satisfy this condition. Furthermore, real plants contain disturbances such as uncertain elements. This paper deals with such problems and proves that the implementation of a parallel feedforward compensator makes it possible to apply the SAC method to non-ASPR SISO plants with plant uncertainties. Furthermore, a robust SAC algorithm in the presence of a class of external disturbances is also considered. The effectiveness of the parallel feedforward compensator and robust adaptive controller designed in this way is examined through several numerical simulations.     

考虑动态响应的虚拟发电厂频率-功率改进自适应下垂控制策略

虚拟发电厂为分布式发电的管理提供一个集成的平台,有助于分布式发电的并网运行。针对虚拟发电厂频率控制问题,基于自适应下垂频率控制策略,考虑虚拟发电厂频率响应的动态特性对基本自适应下垂频率控制策略进行改进。以全系统二次性能指标最小化,采用部分输出量或者部分状态量对潮流控制器的自适应下垂系数进行反馈,从而改进虚拟发电厂中潮流控制器下垂系数的自适应过程,实现虚拟发电厂频率控制的性能最优。仿真算例表明,通过对自适应下垂控制过程引入部分输出量或者部分状态量进行反馈,能够改善自适应下垂控制的效果,提升虚拟发电厂频率稳定性。     

Robust scheme of an indirect MRACS system taking into account the presence of deterministic disturbances

This paper presents a method for the design of an indirect model reference adaptive control (MRAC) system for a plant with deterministic disturbances, robust to modeling errors due to unmodeled dynamics and observation noise. In the proposed method, the structure of the controller is determined on the basis of the internal model principle to reject the deterministic disturbance, and its parameters are adjusted by using the estimated plant parameters. Robustness to the modeling errors is ensured by the use of the adaptive law with a dead zone and a fixed compensator of integral type. The adaptive law prevents the adjustable parameters from drifting and the fixed compensator improves the control performance degraded by the use of the dead zone. Stability of the MRAC system is analyzed using the concept of the ??_2δ norm and the Bellman–Gronwall lemma, based on the properties guaranteed by the adaptive law. Effectiveness of the proposed method is demonstrated by the simulation carried out for a plant with second‐order nominal part and a step disturbance. © 2004 Wiley Periodicals, Inc. Electr Eng Jpn, 146(4): 65–75, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10190     

Adaptive control of systems with unknown non-smooth non-linearities

In this paper we unify our recent results in adaptive control of systems with unknown non-smooth non-linearities such as dead-zone, backlash and hysteresis characteristics at the input or output of a linear dynamics. Our adaptive inverse approach employs an adaptive controller structure consisting of an adaptive inverse for cancelling the effect of an unknown non-linearity and a fixed (or adaptive) linear control law for a known (or unknown) linear dynamics. Despite the bilinear dependence on the unknown parameters, a linearly parametrized error system is constructed which enables us to design robust adaptive laws for updating the controller parameters to ensure closed loop signal boundedness and improve system tracking performance. © 1997 by John Wiley & Sons, Ltd.     

Model reference adaptive control applied to electrical machines

This contribution reports about a discrete-time robust adaptive control strategy for single-input/single-output systems with arbitrary zeros. The adaptive algorithm is mainly based on a direct model reference method. The basic idea presented here is to divide the feedback law into a direct adaptive and a fixed part. By a certain choice of the non-adaptive controller parameters the robustness of the adaptive control loop with respect to unmodelled dynamics of the plant may be increased. The non-adaptive part of the controller can be reformulated as a bypass to the plant and will be denoted as the ‘correction network’ owing to its action on the open-loop zeros of the augmented plant. The new adaptive control strategy removes the major drawbacks of model reference control and is investigated for speed control of a DC motor and voltage control of a synchronous generator.     

Indirect model reference adaptive control with dynamic adjustment of parameters

The paper discusses in detail a new method for indirect model reference adaptive control (MRAC) of linear time-invariant continuous-time plants with unknown parameters. The method involves not only dynamic adjustment of plant parameter estimates but also those of the controller parameters. Hence the overall system can be described by a set of non-linear differential equations as in the case of direct control. Many of the difficulties encountered in the conventional indirect approach, where an algebraic equation is solved to determine the control parameters, are consequently bypassed in this method. The proof of stability of the equilibrium state of the overall system is found to be different from that used in direct control. Using Lyapunov's theory, it is first shown that the parameter errors between the parameter estimates of the identifier and the true parameters of the plant, as well as those between the actual parameters of the controller and their desired values, are bounded. Following this, using growth rates of signals in the adaptive loop as well as order arguments, it is shown that the error equations are globally uniformly stable and that the tracking (control) error tends to zero asymptotically. This in turn establishes the fact that both direct and indirect model reference adaptive schemes require the same amount of prior information to achieve stable adaptive control.     

Robust adaptive control of nonlinearly parameterized systems with unmodeled dynamics

Many physical systems such as biochemical processes and machines with friction are of nonlinearly parameterized systems with uncertainties. How to control such systems effectively is one of the most challenging problems. This paper presents a robust adaptive controller for a significant class of nonlinearly parameterized systems. The controller can be used in cases where there exist parameter and nonlinear uncertainties, unmodeled dynamics and unknown bounded disturbances. The design of the controller is based on the control Lyapunov function method. A dynamic signal is introduced and adaptive nonlinear damping terms are used to restrain the effects of unmodeled dynamics, nonlinear uncertainties and unknown bounded disturbances. The backstepping procedure is employed to overcome the complexity in the design. With the proposed method, the estimation of the unknown parameters of the system is not required and there is only one adaptive parameter no matter how high the order of the system is and how many unknown parameters there are. It is proved theoretically that the proposed robust adaptive control scheme guarantees the stability of nonlinearly parameterized system. Furthermore, all the states approach the equilibrium in arbitrary precision by choosing some design constants appropriately. Simulation results illustrate the effectiveness of the proposed robust adaptive controller. __________ Translated from Journal of Sichuan University (Engineering Science Edition), 2005, 37(5): 148–153 (in Chinese)     

永磁同步电机的自适应逆控制

设计了自适应逆控制的永磁同步电机(PMSM)控制系统,控制系统采用双闭环结构的矢量控制,将自适应逆控制方法引入速度控制。运用非线性自适应滤波器,实现系统的建模与逆建模,并引入滤波器构成了速度控制器,采用最小均方差(Least Mean Square,LMS)自适应滤波算法在线调整其权函数,实现速度的精确控制。在基于DSP的永磁同步电机速度控制系统平台上的实验结果表明,非线性滤波器能够建立电流环模型,提出的非线性自适应逆控制方法能够实现精确的速度控制。与PID控制方法相比,具有更精确的速度跟踪性及更快的响应速度。     

基于Laguerre模型的过热汽温自适应预测PI控制系统

针对火电厂锅炉过热汽温控制的特点,设计1种基于Laguerre模型的自适应预测PI控制器。该预测控制器采用对时延具有良好逼近能力的正交Laguerre函数模型作为预测模型,利用带遗忘因子的最小二乘法在线辨识Laguerre预测模型的系数,以提高系统适应工况变化的能力;滚动优化指标采用比例积分型结构,以提高系统的快速性和鲁棒性。通过对具有严重参数不确定性、扰动以及大迟滞的电厂过热汽温被控对象进行仿真研究,结果表明该方法能够很好地适应对象特性的变化,且控制系统的性能比常规串级控制系统有较大提高。     

Adaptive control of electrically-driven nonholonomic wheeled mobile robots: Taylor series-based approach with guaranteed asymptotic stability

Taking advantage of an adaptive Taylor series approximator, this research seeks to address a two-loop robust controller for electrically-driven differential drive wheeled mobile robots. A fictitious current signal is designed in the outer loop such that the good tracking performance as well as the asymptotic stability of system will be achieved. Also, the error of currents will be minimized by an actual control input in the inner loop. For both inner/outer loops, uncertain nonlinear functions can be approximated by adaptive Taylor series systems. To validate the proposed control algorithm, numerous simulations have been carried out with two different desired trajectories and multiple initial conditions. Also, the proposed controller is compared with a recent well-designed robust adaptive fuzzy controller. In addition, to simplify the procedure of mathematical modelling of a wheeled mobile robot, the “Simscape Multibody” environment of “MATLAB” is used for 3D simulations.     

Attitude control of reusable launch vehicle in reentry phase with input constraint via robust adaptive backstepping control

The paper presents an attitude control problem of reusable launch vehicles in reentry phase. The controller is designed based on synthesizing robust adaptive control into backstepping control procedure in the presence of input constraint, model uncertainty, and external disturbance. In view of the coupling between the states of translational motion and the states of attitude motion, the control‐oriented model is developed, where the uncertainties do not satisfy linear parameterization assumption. The time derivative of the virtual control input is viewed as a part of uncertain term to facilitate the analytic computations and avoid the ‘explosion of terms’ problem. The robust adaptive backstepping control scheme is first proposed to overcome the uncertainty and external disturbance. The robust adaptive law is employed to estimate the unknown bound of the uncertain term. Furthermore, the attitude control problem subjects to input constraint is studied, and the constrained robust adaptive backstepping control strategy is proposed. Within the Lyapunov theory framework, the stability analysis of the closed‐loop system is carried out, and the tracking error converges to a random neighborhood around origin. Six‐degree‐of‐freedom reusable launch vehicle simulation results are presented to show the effectiveness of the proposed control strategy. Copyright © 2015 John Wiley & Sons, Ltd.     

改进的神经网络自学习鲁棒自适应控制器及性能分析

介绍了神经网络自学习鲁棒白适应控制器,该控制器可以应用在模型未知的控制系统中。针对该控制器所存在的问题进行改进,选用具有自适应能力的PID替代固定增益比例的RC控制器,而且对控制方式进行调整,并对改进后的控制器进行了性能分析。分析结果说明,改进后的控制器鲁棒性、自适应更强。     

电力系统非线性鲁棒自适应分散励磁控制设计

利用反步法设计了多机电力系统中的非线性鲁棒自适应励磁控制方案,控制目标是调节发电机功角和频率至稳态运行点的极小领域,并使闭环系统对发电机阻尼系数和电抗参数的不确定性具有自适应能力,且对模型误差和外部有界干扰具备鲁棒性,同时保证各控制器是分散化和本地化的。采用4机系统进行的数字仿真结果表明,实施此方案能有效地提高发电机的功角稳定性。     

直流PWM伺服系统的一种新型控制器

文章设计了一种新型的直流PWM自适应变结构控制器，并且采用了非线性反馈技术，理论分析与实验表明该系统获得良好的快速性、准确性和鲁棒性。     

Decentralized robust adaptive-output feedback controller for power system load frequency control

In this paper, a new model reference-decentralized robust adaptive-output feedback controller is proposed for the load frequency control (LFC) of large-scale power systems with unknown parameters. This control strategy requires only local input–output data and can follow random changes in the operating conditions. The controller is designed such that the trajectory errors and the control gains of each area remain uniformly bounded. In the proposed method, firstly an adaptive observer is designed to estimate the state variables and system parameters using local data only. Then a locally linear combination of the estimated states and the model reference states are used to design a robust adaptive-output feedback controller for each area. Simulation results for a three-area power system show that the proposed controller achieves good performance even in the presence of plant parameter changes and system non-linearities. Received: 18 October 2001/Accepted: 24 October 2001     

模糊自适应PID控制器在退火窑温度控制系统上的应用

本文简述了模糊自适应PID控制器的结构和原理。介绍了其在压延玻璃退火窑温度控制系统中的运用。模糊自适应PID控制器运用模糊控制原理来对PID参数进行在线最佳调整，使被控对象具有良好的动静态性能。仿真和工程实践证明其控制性能优于常规PID控制器。     

基于自适应滑模控制的燃料电池电站输出波形控制策略

为得到与燃料电池电站相适应的输出波形,研究了基于自适应滑模控制的燃料电池电站输出波形控制策略。滑模变结构控制具有响应快、抗干扰等优点,但也有控制输出抖振的问题。为有效克服离散滑模变结构控制的抖振问题,采用自适应趋近律来改善滑模变结构控制,实现对燃料电池电站功率调节系统逆变器输出波形的控制。同时,为抑制系统外部干扰和测量噪声,在控制系统中加入了滤波环节。仿真实验结果表明,采用自适应趋近律改善的滑模变结构控制器有良好的抗干扰能力,能较好地抑制抖振。     

Multiple‐model adaptive robust dynamic surface control with estimator resetting

A multiple‐model adaptive robust dynamic surface control with estimator resetting is investigated for a class of semi‐strict feedback nonlinear systems in this paper. The transient performance is mainly considered. The multiple models are composed of fixed models, one adaptive model, and one identification model that can be obtained when the persistent exciting condition is satisfied. The transient performance of the final tracking system can be improved significantly by designing proper switching mechanism during the parameter tuning procedure. The semi‐globally uniformly ultimately bounded stability of the closed‐loop system can be easily achieved because of the framework of adaptive robust dynamic surface control. Numerical examples are provided to demonstrate the effectiveness of the proposed multiple‐model controller. Copyright © 2014 John Wiley & Sons, Ltd.     

交直流互联系统鲁棒自适应直流功率调制

设计了应用于交直流互联电力系统的直流功率调制的非线性鲁棒自适应控制器。该控制器基于驱动各互联区域电网的惯量中心至统一平衡点的设计思想，采用广域测量系统的全局信号，用以阻尼交直流互联系统的区域间功率振荡。采用反步法设计的自适应鲁棒控制规律使控制器对未知参数具有自适应性，对模型误差、扰动和平衡点变化具有较强的鲁棒性。仿真结果表明，与传统的线性直流功率调制控制器相比，该控制器对联络线的功率振荡具有优良的阻尼性能，可显著提高输电极限，而且能很好地适应运行点的变化。