多变量非线性系统的模糊内模控制

大多数的先进控制器是基于线性模型的,它们对化学工业中常见的非线性过程的控制效果并不能达到最优.因此,考虑使用非线性模型,以使控制性能获得改善.用基于T-S模型的自适应模糊聚类辨识算法对系统进行辨识.T-S模型是用线性的方程来描述非线性系统,从而利于求出模型的逆.而模型逆又是IMC的关键一步,因此选用这种基于T-S模糊模型的控制器(FIMC)来实现对非线性多变量系统的控制.对2输入2输出的非线性系统进行仿真,结果表明FIMC在多变量系统中可以实现好的控制.     

基于模糊T-S模型的批过程建模与最优控制

基于模糊T-S模型,提出一种具有自学习能力的模糊方法用于批过程建模和最优控制.通过引入与均方误差相关的动态误差传递因子,使用改进的梯度下降法,本方法能够辨识模糊T-S预测模型.对于批过程的受限非线性最优控制,基于所辨识的预测模型,运用庞特里亚金最小值原理和平行分布补偿算法,本方法能够把一个复杂非线性系统最优控制设计问题转化为一些基于复杂T-S预测模型的局部线性系统的最优问题,从而给出一种有效和简单的模糊最优控制策略.所提方法用于一个半连续式反应器的建模和最优控制,仿真结果表明新方法是有效和准确的.     

带翼水下机器人的非线性拟合分段控制方法

S面控制方法可较好地解决水下机器人的运动控制问题,但由于其参数是固定的,无法达到全局最优．不同航渡速度段,采取不同的控制参数值,可保证水动力不同阶段控制输出的最优;但在速度变化的分界点,控制器输出有跳变,不利于系统的全局稳定性．利用T-S模糊系统逼近非线性连续函数的能力,采用非线性的S面函数作为模糊系统的后件,设计了基于T—S模型的S面控制器．通过T-S模型的引入,避免了控制器输出的跳变,增强了系统稳定性．将该方法应用于带翼水下机器人的深度控制,水池试验和湖中实验均证明了算法的有效性．     

离散多智能体有限时间Q学习协同输出调节

针对离散多智能体系统输出调节,提出了一种基于Q学习的最优控制策略。对于传统多智能体系统的输出调节,获取系统的精确动力学模型并依此求得其HJB方程的解为主要障碍。该策略通过智能体之间的局部通信,在不依赖系统动态模型的前提下实现了对每个智能体输出的全局最优控制。为实现对系统响应速率的优化,提出了一种新的有限时间局部误差公式,不仅保证了算法原有的全局最优性能,而且将输出同步时间缩短了近50%,并对所提算法的稳定性进行了分析。仿真结果表明,该策略在避免建立复杂系统模型和求解离散HJB方程的前提下实现了对系统的最优控制,采用更新后的有限时间局部误差公式有效缩短了收敛时间。     

基于T-S模糊模型的状态反馈预测控制

将T-S模糊模型和状态反馈预测控制相结合,提出了一种基于T-S模糊模型的预测控制算法.该算法把T-S模糊模型作为预测模型得到状态和输出的预估值,并利用可测的过程变量对输出预估值进行反馈修正,然后利用最优控制理论,由修正后的预估值和给定值计算出控制整个系统的控制律.本文还对串级CSTR控制系统的不同的初态、设定值及干扰情况下进行了仿真,仿真结果表明了该方法的有效性和可行性.     

具有不确定Wiener噪声随机非线性系统的自适应逆最优控制

针对一类具有不确定Wiener噪声扰动和未知定常参数的随机非线性系统,采用随 机微分方程描述系统,基于Backstepping算法,利用随机控制Lyapunov函数,研究了自适 应逆最优控制问题的可解定理,系统地给出了全局依概率渐近稳定和自适应逆最优控制策略 的设计方法.这种方法可同时获得控制律和自适应律,仿真结果表明该控制算法的有效性.     

具有容性负载的直流微电网系统分布式协同控制

针对一类具有容性负载的直流微电网系统, 提出了分布式协同控制方法. 具有容性负载的直流微电网是一类耦合动态互联非线性网络化系统, 可将DC-DC变换器在信息层视为智能体, 在每个子系统模块中, 引入容性负载电压观测器, 耦合并联非线性系统负载均衡控制设计问题可解耦成一阶积分器多智能体系统的输出一致性跟踪问题. 基于最近邻原则, 通过在控制器中引入比例、积分环节, 设计了增益可调的分布式协同PI控制律, 当有向图满足至少含有一棵生成树的条件下, 通过子系统间的局部交互, 可以实现负载均衡的目标. 通过分析增广系统矩阵的特征值证明了整个闭环系统的稳定性. 仿真和实验说明了所提出的控制方法的有效性及可行性.     

基于T-S模型的Chua混沌系统模糊变结构控制

针对Chua混沌系统这一复杂的非线性系统给出一种基于T-S模型的模糊变结构控制律设计。首先采用T-S模糊动态模型描述非线性系统,得到混沌系统的全局模糊模型;然后采用Lyapunov稳定性理论设计出确保模糊动态模型全局渐近稳定的变结构控制器,将模糊控制与成熟的线性变结构控制相结合,来解决非线性系统控制问题。仿真验证了方案的有效性。模糊控制器简单,规则少。     

基于T—S模糊模型的多变量预测控制

提出一种基于T-S模糊模型的多输入多输出预测控制策略.T-S模糊模型用于描述对象的非线性动态特性,模糊规则将非线性系统划分为多个局部子线性模型.为提高预测控制性能,采用多步线性化模型构成多步预报器,从而将预测控制中的非线性优化问题转化为一个线性二次寻优问题.串接贮槽液位控制系统的仿真结果表明,多步线性化模型预测控制性能优于单步线性化模型预测控制性能.     

基于T-S模糊模型的转台鲁棒最优控制器设计

针对飞行器仿真转台系统的非线性以及不确定性问题,提出了基于T-S模糊模型的鲁棒最优控制器设计方法.首先,利用IF-THEN模糊规则将转台速度环系统的状态空间分成不同的区域,构建具有参数不确定性的T-S模糊模型;然后,根据给定的最优性能指标要求以及控制输入约束,通过求解一组线性矩阵不等式(LMIs)进行鲁棒最优控制嚣设计.仿真结果表明,该方法不仅具有比较好的控制效果,而且能有效地解决控制输入约束问题,并能很好地保证对参数变化的鲁棒稳定性.     

Cooperative global output regulation of heterogeneous second-order nonlinear uncertain multi-agent systems

In this paper, we study the cooperative global output regulation problem for a class of heterogeneous second order nonlinear uncertain multi-agent systems. We first introduce a type of distributed internal model that converts the cooperative global output regulation problem into the global robust stabilization problem of the so-called augmented multi-agent system. Then we further globally stabilize this augmented multi-agent system via a distributed state feedback control law, thus leading to the solution of the original problem. A special case of our result leads to the solution of the global leader-following consensus problem for the second order nonlinear multi-agent systems without satisfying the global Lipschitz condition.     

Composite nonlinear feedback control for cooperative output regulation of linear multi-agent systems by a distributed dynamic compensator

This paper investigates the cooperative output regulation problem of linear multi-agent systems with a linear exogenous system (exo-system). The network topology is described by a directed graph which contains a directed spanning tree with the exo-system as the root. Aiming at improving the transient performance of the multi-agent systems, a dynamic control law is developed by the composite nonlinear feedback (CNF) control technique. In particular, a distributed dynamic compensator independent of the interaction on the compensator states of agents among the network, is adopted. The solvability condition for the cooperative output regulation problem is obtained using the small-gain theory, which will not be destroyed by adding the nonlinear feedback part of the CNF control law. It is also shown that in the case with the exo-system not diverging exponentially, the small-gain condition can be guaranteed using the low-gain design. Finally, simulation results illustrate that the proposed CNF control law improves the transient performance for the cooperative output regulation of linear multi-agent systems.     

Cooperative output regulation of heterogeneous multi-agent systems based on passivity

This paper investigates the problem of cooperative output regulation of heterogeneous linear multi-agent systems. A passive framework is presented for the stabilisation analysis of cooperative output regulation, which can overcome the difficulty caused by the fact that the global dynamics of heterogeneous multi-agent systems depends on the global communication structure. An adaptive distributed observer is proposed to estimate the state of the exosystem, and the proposed distributed observer is independent of any global information of the communication graph. Based on passivity design and adaptive distributed observer, both a distributed state feedback and a distributed output feedback protocol are designed for output synchronisation of heterogeneous multi-agent systems. The gain matrices of the distributed protocols and observers are obtained by a Riccati equation design approach. Furthermore, sufficient local conditions for solving the problem of cooperative output regulation of heterogeneous multi-agent systems are presented. Finally, numerical simulation results are given to illustrate the effectiveness of the proposed distributed control schemes.     

非线性耦合动态互联系统分布式协作负载均衡控制

针对一类非线性耦合动态互联系统,提出一种分布式协作负载均衡控制方法.借助输入输出反馈线性化技术,构建系统输入输出之间的关系,将耦合互联系统的分布式负载均衡控制设计问题转化为一阶多速率积分器智能体系统的输出一致性跟踪问题.基于最近邻原则设计增益可调的分布式协作负载均衡控制律,在通信拓扑满足相应的连通条件下,通过子系统间的局部交互实现负载均衡的目标.仿真和实验结果表明了所提出控制方法的有效性和可行性.     

Fuzzy model based adaptive control for a class of nonlinear systems

A fuzzy model based adaptive control algorithm for a class of continuous-time nonlinear dynamic systems is presented. The fuzzy model consisting of a set of linear fuzzy local models that are combined using a fuzzy inference mechanism is used to model a class of nonlinear systems. Each fuzzy local model represents a linearized model corresponding to the operating point of the controlled nonlinear system. The proposed control algorithm employs the fuzzy controller that is designed by considering the linear state feedback controller corresponding to the fuzzy local model with the maximum weight and the switching-σ modification adaptive controller to adaptively compensate for the plant nonlinearities. Stability robustness of the closed-loop system is analyzed in Lyapunov sense. It is shown, that the proposed control algorithm guarantees global stability of the system with the output of the system approaching the origin if there are no disturbances and uncertainties, converging to the neighborhood of the origin for all realizations of uncertainties and disturbances. The simulation examples for controlling inverted pendulum system are given to illustrate the effectiveness of the proposed method     

Optimal fuzzy controller design: local concept approach

In this paper, we present a global optimal and stable fuzzy controller design method for both continuous- and discrete-time fuzzy systems under both finite and infinite horizons. First, a sufficient condition is proposed which indicates that the global optimal effect can be achieved by the fuzzily combined local optimal controllers. Based on this sufficient condition, we derive a local concept approach to designing the optimal fuzzy controller by applying traditional linear optimal control theory. The stability of the entire closed-loop continuous fuzzy system can be ensured by the designed optimal fuzzy controller. The optimal feedback continuous fuzzy system can not only be guaranteed to be exponentially stable, but also be stabilized to any desired degree. Also, the total energy of system output is absolutely finite. Moreover, the resultant feedback continuous fuzzy system possesses an infinite gain margin; that is, its stability is guaranteed no matter how large the feedback gain becomes. Two examples are given to illustrate the proposed optimal fuzzy controller design approach and to demonstrate the proved stability properties     

Discrete-time optimal fuzzy controller design: global conceptapproach

Proposes a systematic and theoretically sound way to design a global optimal discrete-time fuzzy controller to control and stabilize a nonlinear discrete-time fuzzy system with finite or infinite horizon (time). A linear-like global system representation of a discrete-time fuzzy system is first proposed by viewing such a system in a global concept and unifying the individual matrices into synthetic matrices. Then, based on this kind of system representation, a discrete-time optimal fuzzy control law which can achieve a global minimum effect is developed theoretically. A nonlinear two-point boundary-value-problem (TPBVP) is derived as a necessary and sufficient condition for the nonlinear quadratic optimal control problem. To simplify the computation, a multi-stage decomposition of the optimization scheme is proposed, and then a segmental recursive Riccati-like equation is derived. Moreover, in the case of time-invariant fuzzy systems, we show that the optimal controller can be obtained by just solving discrete-time algebraic Riccati-like equations. Based on this, several fascinating characteristics of the resultant closed-loop fuzzy system can easily be elicited. The stability of the closed-loop fuzzy system can be ensured by the designed optimal fuzzy controller. The optimal closed-loop fuzzy system can not only be guaranteed to be exponentially stable, but also stabilized to any desired degree. Also, the total energy of system output is absolutely finite. Moreover, the resultant closed-loop fuzzy system possesses an infinite gain margin, i.e. its stability is guaranteed no matter how large the feedback gain becomes. An example is given to illustrate the proposed optimal fuzzy controller design approach and to demonstrate the proven stability properties     

Inverse optimal sliding mode control of spacecraft with coupled translation and attitude dynamics

This paper proposes two robust inverse optimal control schemes for spacecraft with coupled translation and attitude dynamics in the presence of external disturbances. For the first controller, an inverse optimal control law is designed based on Sontag-type formula and the control Lyapunov function. Then a robust inverse optimal position and attitude controller is designed by using a new second-order integral sliding mode control method to combine a sliding mode control with the derived inverse optimal control. The global asymptotic stability of the proposed control law is proved by using the second method of Lyapunov. For the other control law, a nonlinear H_∞ inverse optimal controller for spacecraft position and attitude tracking motion is developed to achieve the design conditions of controller gains that the control law becomes suboptimal H_∞ state feedback control. The ultimate boundedness of system state is proved by using the Lyapunov stability theory. Both developed robust inverse optimal controllers can minimise a performance index and ensure the stability of the closed-loop system and external disturbance attenuation. An example of position and attitude tracking manoeuvres is presented and simulation results are included to show the performance of the proposed controllers.     

基于学习的线性多智能体系统弹性最优协同容错控制

针对一类线性多智能体系统,研究其在网络间歇性拒绝服务攻击下的最优同步控制问题.首先,在时变非对称通讯网络拓扑结构下,提出一种弹性最优协同容错控制策略,并优化多智能体的合作二次性能指标,然后证明全局跟踪误差在出现执行器故障和网络攻击时仍然渐进收敛.进一步,当考虑多智能体子系统模型参数未知,同时系统发生执行器故障的情况下,提出利用局部系统状态和输入信息的自学习迭代算法求解代数Riccati方程,计算子系统的反馈控制器增益,实现弹性协同容错控制目标.最后,通过Chua电路网络仿真算例验证所提出的控制方法的有效性.     

基于啤酒发酵过程的时变轨迹输出反馈鲁棒模糊预测控制

考虑到实际生产中状态不易测量和设定值变化的情况以及系统本身的非线性特性,针对啤酒发酵过程温度控制系统提出了一种时变轨迹下输出反馈鲁棒模糊预测控制方法。在啤酒发酵罐温度系统的机理模型的基础上,建立包括不确定性和未知干扰的状态空间模型;通过设计模糊集,建立为具有加权系数的T-S模糊状态空间模型;并在状态变量的中引入输出跟踪误差,建立新型多自由度状态空间模型;并运用鲁棒模型预测控制方法优化参数不确定性问题,结合李雅普诺夫稳定性理论推导出线性矩阵不等式形式的稳定性条件,通过求解线性矩阵不等式中参数来计算对应子模型控制律,并对所设计的输出反馈控制器给定权值。通过仿真结果验证了提出方法的有效性和可行性。