Fuzzy Control for Nonlinear Uncertain Electrohydraulic Active Suspensions With Input Constraint

This paper presents a Takagi-Sugeno (T-S) model-based fuzzy control design approach for electrohydraulic active vehicle suspensions considering nonlinear dynamics of the actuator, sprung mass variation, and constraints on the control input. The T-S fuzzy model is first applied to represent the nonlinear uncertain electrohydraulic suspension. Then, a fuzzy state feedback controller is designed for the obtained T-S fuzzy model with optimized H _infin performance for ride comfort by using the parallel-distributed compensation (PDC) scheme. The sufficient conditions for the existence of such a controller are derived in terms of linear matrix inequalities (LMIs). Numerical simulations on a full-car suspension model are performed to validate the effectiveness of the proposed approach. The obtained results show that the designed controller can achieve good suspension performance despite the existence of nonlinear actuator dynamics, sprung mass variation, and control input constraints.     

基于电流变阻尼器的履带式车辆悬架振动控制

提出一种基于电流变阻尼器的半主动悬架系统,建立了某履带式车辆悬架的1/4车体动力学模型,在此基础上给出了悬架系统的运动方程和状态方程,分析了某种剪切模式电流变阻尼器的阻尼力并作为悬架系统半主动控制的制动器.将随机最优控制理论应用到车辆悬架的控制中,以车身加速度、悬架动行程和轮胎动位移的加权二次型最小为控制性能指标,设计了线性二次型高斯(LQG)控制器,通过被动悬架与LQG控制悬架的仿真比较,在轮胎动位移基本相同的情况下,LQG控制能有效的降低车身加速度,充分利用悬架的工作空间,提高车辆的舒适性和安全性.     

野草入侵模糊算法的半主动空气悬架研究

为了抑制由路面不平引起的车辆振动,结合磁流变阻尼器和空气弹簧的变阻尼/刚度特性,设计了含内置永磁体式磁流变阻尼器的半主动空气悬架系统.基于电磁学原理,对内置永磁体式磁流变阻尼器的力学特性建模.建立了1/4车辆二自由度动力学模型,并利用野草入侵算法对常规模糊算法规则进行优化,开发了野草入侵-模糊混合控制策略对内置永磁体磁流变阻尼器的空气悬架进行半主动控制.为验证该控制策略在磁流变空气悬架的半主动控制效果,进行了C级路面随机输入及凸块脉冲输入仿真分析,仿真结果可知,野草入侵-模糊控制策略能有效地提高半主动悬架系统的综合性能.并且通过台架试验进一步表明,利用该控制策略能够使车身振动加速度及悬架动挠度分别减小25.87%、35.13%.     

考虑输入约束的半主动悬架非线性自适应控制

针对具有输入约束及参数不确定性问题的汽车半主动悬架系统,提出一种考虑输入饱和的非线性自适应Backstepping控制器.该方法引入一个辅助系统,通过设计新的误差变量,实现对控制饱和的补偿,解决控制输入的幅值约束问题.同时,考虑到悬架系统的参数不确定性问题,采用映射自适应算法设计自适应律,通过构造适当的Lyapunov函数,保证悬架系统的稳定性.仿真结果表明,所设计的控制器具有良好的隔振性能,而且能够有效降低输入约束和不确定参数对系统性能的影响.     

Evaluation of a sliding mode observer for vehicle sideslip angle

This paper presents a sliding mode observer of vehicle sideslip angle, which is the principal variable relating to the transversal forces at the tire/road interface. The vehicle is first modelled, and the model is subsequently simplified. This study validates the observer using both a validated simulator and real experimental data acquired by the Heudiasyc laboratory car, and also shows the limitations of this method. The observer requires a yaw rate sensor and data about vehicle speed are required in order to estimate sideslip angle. Some properties of the nonlinear observability matrix condition number are discussed, and relations between this variable and observation error, vehicle speed and tire cornering stiffness are presented.     

基于ARM的半主动悬架递阶控制器设计

针对半主动悬架大系统模型的特点，开发了半主动悬架递阶控制器，运用大系统递阶控制策略建立了系统的控制结构，以ARM处理器为核心构筑起悬架控制系统的硬件平台，设计了包括模糊神经网络子系统和协调优化子程序的系统软件，调整半主动悬架系统的阻尼系数，并进行了实车道路试验。结果表明，该控制器可以满足半主动悬架控制系统的要求。     

Nonlinear observer-based active control of ground vehicles with non negligible roll dynamics

In this paper we present an observer–based nonlinear controller for lateral and yaw velocity, for a vehicle in which the roll dynamics can not be neglected. The observer estimates the lateral velocity, and the roll position and velocity. This technique is based on measurements of the longitudinal and lateral accelerations, longitudinal velocity, yaw rate and steer angle, usually available in modern vehicles. The nonlinear observer ensures exponential convergence of the estimations. The test maneuvers, obtained with the full–vehicle CarSim model under different road adhesion conditions, have been used to check the controller performance, as well as its robustness with respect to parameter variations.     

基于自适应遗传算法的半主动悬架模糊控制研究

模糊规则的正确选择是半主动悬架模糊控制器设计的关键和难点,本文提出一种自适应地选择交叉概率和变异概率的遗传算法,以车身垂直加速度均方根值为优化目标,对汽车半主动悬架模糊控制规则进行优化,以达到提高半主动悬架模糊控制器的控制效果,改善汽车行驶平顺性的目的。为了证明该优化方法的可行性,将该自适应遗传算法优化的模糊控制器对汽车半主动悬架进行控制,并建立Matlab文本与Simulink相结合的仿真模型。仿真结果表明：优化后的半主动悬架车身垂直加速度均方根值减小,汽车行驶的平顺性得到了提高。     

Functional observer-based fuzzy controller design for continuous nonlinear systems

This paper presents a novel method of synthesising controllers for nonlinear systems represented by Takagi--Sugeno fuzzy model using functional observer. The proposed method uses minimum order observer for estimating the control input of each rule as a function of states. Existence conditions of the functional observer-based controller are provided in the form of rank equality conditions. The stability conditions of the observer are obtained using quadratic Lyapunov function, and the conditions are presented in the form of linear matrix inequalities. Observer parameters can be obtained by solving these inequalities. Finally, systematic synthesis procedures for constructing the observer are presented. Examples with simulation output are given to demonstrate this method and to compare its performance with a conventional full-state observer-based controller.     

Approximation Optimal Vibration for Networked Nonlinear Vehicle Active Suspension with Actuator Time Delay

This paper is concerned with the modelling and vibration control problem for networked nonlinear vehicle active suspension (NNVAS) with actuator time delay. Inserting in‐vehicle communication network to active suspension, a novel model for NNVAS is established based on the Takagi‐Sugeno fuzzy fusion technology first. By introducing a transformation vector, NNVAS with actuator time delay is reformed as a delay‐free nonlinear system. Then, an approximation optimal vibration controller (AOVC) is proposed by using an iterative algorithm, which consists of suspension state item, a road disturbance state item, and a compensated item for nonlinear response. Dependant on the control performance in each iteration, the computability of proposed AOVC is realized. A reduced‐order observer is designed to solve the physical unrealizable problem of road disturbances. Finally, compared with the open‐loop system and control scheme without network setting, the capability of improving control performance under AOVC is illustrated.     

Road-frequency adaptive control for semi-active suspension systems

In this paper, a road-frequency adaptive control for semi-active suspension systems is investigated. The control aims to improve the vehicle suspension performance (ride comfort and wheel handling) for all frequency regions of road disturbances. In order to achieve this aim, the control law is extended from the conventional skyhook control, and the controller gains are scheduled for various frequency regions of road disturbances. By using the data measured from a relative displacement sensor, a state estimator based on a Kalman filter for estimating the required state variables is designed. Road disturbance frequencies are estimated by using a first order zero-crossing algorithm. The efficiency of the proposed control is shown through numerical simulations.     

Robust Control System Design for an Uncertain Nonlinear System Using Minimax LQG Design Method

A systematic approach to design a nonlinear controller using minimax linear quadratic Gaussian regulator (LQG) control is proposed for a class of multi‐input multi‐output nonlinear uncertain systems. In this approach, a robust feedback linearization method and a notion of uncertain diffeomorphism are used to obtain an uncertain linearized model for the corresponding uncertain nonlinear system. A robust minimax LQG controller is then proposed for reference command tracking and stabilization of the nonlinear system in the presence of uncertain parameters. The uncertainties are assumed to satisfy a certain integral quadratic constraint condition. In this method, conventional feedback linearization is used to cancel nominal nonlinear terms and the uncertain nonlinear terms are linearized in a robust way. To demonstrate the effectiveness of the proposed approach, a minimax LQG‐based robust controller is designed for a nonlinear uncertain model of an air‐breathing hypersonic flight vehicle (AHFV) with flexibility and input coupling. Here, the problem of constructing a guaranteed cost controller which minimizes a guaranteed cost bound has been considered and the tracking of velocity and altitude is achieved under inertial and aerodynamic uncertainties.     

Non-monotonic robust H2 fuzzy observer-based control for discrete time nonlinear systems with parametric uncertainties

A non-monotonic Lyapunov function (NMLF) is deployed to design a robust H₂ fuzzy observer-based control problem for discrete-time nonlinear systems in the presence of parametric uncertainties. The uncertain nonlinear system is presented as a Takagi and Sugeno (T–S) fuzzy model with norm-bounded uncertainties. The states of the fuzzy system are estimated by a fuzzy observer and the control design is established based on a parallel distributed compensation scheme. In order to derive a sufficient condition to establish the global asymptotic stability of the proposed closed-loop fuzzy system, an NMLF is adopted and an upper bound on the quadratic cost function is provided. The existence of a robust H₂ fuzzy observer-based controller is expressed as a sufficient condition in the form of linear matrix inequalities (LMIs) and a sub-optimal fuzzy observer-based controller in the sense of cost bound minimization is obtained by utilising the aforementioned LMI optimisation techniques. Finally, the effectiveness of the proposed scheme is shown through an example.     

军用履带车辆半主动悬挂系统最优控制研究

将磁流变阻尼器这种智能减振装置应用于履带车辆悬挂系统中，构成了新型的半主动式悬挂系统，研究了磁流变阻尼器的力学特性，建立了1／2车体振动模型，采用基于最优控制理论的半主动控制算法，确定了悬挂系统的最优控制力，并对典型沙土路面激励下，某型军用履带车辆半主动悬挂系统的垂直加速度、垂直位移、角加速度和角位移的响应情况进行了仿真分析，结果表明该控制算法有着很好的减振效果。     

具有输入时滞的主动悬挂系统的减振控制

研宄具有输入时滞的汽车主动悬挂系统在路面扰动下的减振控制器设计问题.首先根据汽车悬挂系统的特点,从实用性的角度出发化简了悬挂系统的数学模型.然后提出一种变量代换方法,将具有输入时滞的主动悬挂系统转换为形式上不含时滞的系统.针对转换后的无时滞系统,设计出具有输入时滞的主动悬挂系统减振控制器:又从控制器的成本和易实现性出发添加了一个状态观测器.在这种系统结构下,设计出一种具有记忆和积分特性的主动悬挂系统减振控制策略.仿真结果验证了这种设计控制器的方法是有效的.     

基于观测器的汽轮发电机气门开度的时滞无关控制

本文考虑了具有非线性关联作用的带中间再热器的汽轮发电机的数学模型, 研究了气门开度基于观测状态的时滞无关分散控制器的设计问题. 首先把非线性关联函数变换为子系统状态变量的二次有界不等式, 然后通过构造适当的Lyapunov泛函, 并利用线性矩阵不等式(LMI)的处理方法, 得到了使汽轮发电机组渐近稳定的LMI充分条件. 此外,还提出了了控制器增益矩阵和观测器增益矩阵的求解算法.. 最后以两机无穷大母线系统为例进行了仿真分析, 验证了该方法的有效性.     

Vibration control of vehicle active suspension system using a new robust neural network control system

The main problem of vehicle vibration comes from road roughness. For that reason, it is necessary to control vibration of vehicle’s suspension by using a robust artificial neural network control system scheme. Neural network based robust control system is designed to control vibration of vehicle’s suspensions for full suspension system. Moreover, the full vehicle system has seven degrees of freedom on the vertical direction of vehicle’s chassis, on the angular variation around X-axis and on the angular variation around Y-axis. The proposed control system is consisted of a robust controller, a neural controller, a model neural network of vehicle’s suspension system. On the other hand, standard PID controller is also used to control whole vehicle’s suspension system for comparison.Consequently, random road roughnesses are used as disturbance of control system. The simulation results are indicated that the proposed control system has superior performance at adapting random road disturbance for vehicle’s suspension.     

防抱制动系统滑模状态观测和控制系统仿真

该文在考虑不平路面随机激励作用下车辆垂向振动的基础上 ,首先建立了四分之一车辆制动模型 ,而后充分运用滑移模式变结构的分析和设计方法 ,提出了车轮最佳滑移率的滑模实时在线辨识滑模优化算法 ,在对系统可观测性论证的基础上 ,设计了非线性滑模状态观测器 ,给出了单通道防抱制动系统基于滑移率的滑模控制算法 ,通过计算机仿真 ,验证了该控制算法的可行性和有效性 ,为设计具有高鲁棒性的防抱制动系统做了一定的理论探索和仿真工作     

Sequential LMI approach for the design of a BMI‐based robust observer state feedback controller with nonlinear uncertainties

This paper aims at developing a robust observer–based estimated state feedback control design method for an uncertain dynamical system that can be represented as a linear time‐invariant system connected with an integral quadratic constraint–type nonlinear uncertainty. Traditionally, in existing design methodologies, a convex semidefinite constraint is obtained at the cost of conservatism and unrealistic assumptions. This paper avoids such assumptions and formulates, the design of the robust observer state feedback controller as the feasibility problem of a bilinear matrix inequality (BMI) constraint. Unfortunately, the search for a feasible solution of a BMI constraint is an NP‐hard problem in general. The applicability of a linearization method, such as the variable change method and the congruence transformation, depends on the specific structure of the problem at hand and cannot be generalized. This paper transforms the feasibility analysis of the BMI constraint into an eigenvalue problem and applies the convex‐concave–based sequential linear matrix inequality optimization method to search for a feasible solution. Furthermore, an augmentation of the sequential linear matrix inequality algorithm to improve its numerical stability is presented. In the application part, a vehicle lateral control problem is presented to demonstrate the applicability of the proposed algorithm to a real‐world estimated state feedback control design problem and the necessity of the augmentation for numerical stability.     

H ∞ control of a suspension with a magnetorheological damper

This research work presents an H _∞ controller based on a Takagi–Sugeno (T–S) fuzzy model for a two-degrees-of-freedom (2-DOF) one-quarter-vehicle semi-active suspension with a magnetorheological damper where the actuator dynamics are included in the control synthesis. These dynamics enclose nonlinear damper phenomena, avoided in many other studies, and that can improve the suspension system by means of a more accurate model. The objective is to obtain a semi-active suspension that considerably improves the passive suspension efficiency based on some frequency domain performance criteria. The advantage of having the T–S system as a reference is that each piecewise linear system can be exposed to the well-known control theory. Besides, the proposed solution is compared with the recent reported work to highlight its advantages. A case of study is included and simulation work supports the results. The methodology applied herein can be extended to a half-vehicle model, and to the four wheels to have a global chassis control in order to maximise passenger comfort and vehicle stability.