基于T-S模型的PID控制器的设计

针对普通PID调节器参数调节复杂,当被控系统性能发生变化时PID调节器的参数不能自适应地进行调整的缺点,提出了一种基于Takagi和Sugeno模糊控制模型的PID控制器.这种控制器将模糊控制器和PID控制器的优点有效地结合起来,它的前件采用模糊推理的方法将基于语言变量的专家经验转化为T-S模型的模糊规则,它的后件采用PID形式输出.通过对一个带有延时环节的一阶系统进行仿真,并将仿真结果与常规PID以及普通模糊调节器进行比较,结果表明,该控制器对系统的静态和动态性能有很大的改进.     

超差特征量指标集约束下PID调节器的满意优化

针对一类具有目的域的控制系统,提出将一组由滞留时间、超差时间以及随机穿越周期时间等构成的超差特征量指标纳入满意PID调节器的目标函数集中进行研究。将PID调节器的参数设计转化为局部状态反馈问题,推导出带状目的域下超差特征量指标的解析表达式,并分析了其与稳定裕度、动态误差系数以及稳态输出方差指标之间的相容性;当上述指标相容时,给出了一种利用双群体机制下的差分进化算法和内点法相结合对PID调节器参数进行优化求解的策略;数值算例表明了所提方法的有效性。     

具有控制时滞系统的最优无静差正弦扰动抑制

研究在外部正弦扰动作用下，控制含时滞的线性系统的最优无静差调节器设计问题．首先利用Artstein变换将控制变量含时滞的系统转化为不舍时滞的系统；然后利用内模原理构造扰动补偿器，将带扰动的系统转化为无扰动的增广系统，从而将无静差扰动抑制问题转化为无扰动增广系统的最优调节器设计问题；最后利用最优控制理论求得最优无静差反馈控制律．仿真结果表明了所提出方法的有效性．     

混合式智能调节器

本文通过分析模糊调节器和常规PID调节器各自的特点,提出了使用专家系统技术来协调模糊调节器和常规PID调节器的方法,设计了一种新型的混合式智能调节器.通过仿真试验表明这种调节器对一些复杂难控对象的控制是有效的。     

直流电机神经元PID调速系统设计与仿真

针对传统PI双闭环直流电机调速系统存在响应速度慢、超调量大、抗干扰能力及自适应能力差等问题,提出了一种双闭环直流电机调速系统的神经元PID转速调节器设计方法。该转速调节器采用神经元控制器和比例控制相结合进行设计,从而构成了一种具有自学习、自适应能力的神经元PID控制器,然后与传统单神经元PID设计的转速调节器控制效果进行了对比。结果表明,基于神经元PID转速调节器的双闭环直流电机调速系统具有较快的响应速度、良好的动态和静态稳定性、较强的自适应能力和抗干扰能力。     

利用多变量根轨迹设计最优PID调节器

线性二次型最优调节器的权矩阵选择问题至今尚未得到较好解决。本文由多变量二阶系统定义导出最优PID调节器,然后利用多变量根轨迹设计最优PID调节器,给出构造Q、R矩阵的一种方法。     

基于窗口H∞范数的PID控制器优化设计

针对有限频段提出了窗口 H∞ 范数的新概念, 然后给出了有限频段的界实定理及其对偶形式. 按照模型匹配原则, 将 PID 控制器的设计问题转化为窗口 H∞ 范数优化问题, 通过求解 LMI 得到 PID 控制器参数. 仿真结果验证了设计方法的有效性.     

基于LMI的随动系统满意PID调节器设计

PID控制器在实际工程中应用广泛,而且工程上对随动系统的性能要求往往是多方面的．该文应用满意控制思想,研究了期望指标：扇形区域极点,稳态输出方差和动态误差系数约束下随动系统的PID控制设计问题．首先将PID控制参数设计转化为局部状态反馈问题,导出了3项指标约束的双线性矩阵不等式(BMI)描述．然后给出改进的迭代线性矩阵不等式(LMI)算法求解BMI可行解,得到使闭环系统满足3项期望指标的PID参数．最后给出了应用该方法数值算例．     

PID控制器在蔬菜发酵系统中的应用

通过试验推导出发酵温控系统的开环传递函数,并且建立了系统的数学模型,同时引入PID控制算法。通过多种PID算法的比较仿真,设计了具有较好特性的PID调节器。     

采用图形控制组态的多回路PID调节器设计

阐述了多回路PID调节器的硬件和软件总体设计方案,详细介绍了以DSP为CPU的多回路PID硬件设计和采用图形控制组态设计用户程序的多回路PID的软件设计。     

桁架形状优化的一种改进模拟退火算法研究

通过设计一种产生可行解的状态发生器,由该状态发生器产生的新状态均满足所有的约束条件,从而方便地处理约束条件,并提出一种求解桁架形状优化设计问题的改进的模拟退火算法。算例表明该方法能获得较高质量的解,具有现实的工程意义,同时指出改进的SA算法用于桁架形状优化问题得不到全局最优解。     

Decentralised regulation of nonlinear multi-agent systems with directed network topologies

This paper aims to address the leader–follower regulation problem of multi-agent systems with directed network topologies, where the agents are described by feedforward nonlinearities with the growth rate being unknown a priori. Both the state feedback regulation protocol and the output feedback regulation protocol are delicately constructed such that all the states of followers can converge to the leader state globally. In this paper, a model transformation is firstly performed and the leader–follower regulation problem can be transformed into a general regulation problem. Then, by introducing an appropriate state transformation, the regulation problem can be changed into a parameter determined problem. It is proved that the parameter can be determined by both the properties of M-matrices and the estimates of nonlinear terms. Finally, a numerical example is presented to show the feasibility of designed protocols.     

An optimal control approach to robust tracking of linear systems

In our early work, we show that one way to solve a robust control problem of an uncertain system is to translate the robust control problem into an optimal control problem. If the system is linear, then the optimal control problem becomes a linear quadratic regulator (LQR) problem, which can be solved by solving an algebraic Riccati equation. In this article, we extend the optimal control approach to robust tracking of linear systems. We assume that the control objective is not simply to drive the state to zero but rather to track a non-zero reference signal. We assume that the reference signal to be tracked is a polynomial function of time. We first investigated the tracking problem under the conditions that all state variables are available for feedback and show that the robust tracking problem can be solved by solving an algebraic Riccati equation. Because the state feedback is not always available in practice, we also investigated the output feedback. We show that if we place the poles of the observer sufficiently left of the imaginary axis, the robust tracking problem can be solved. As in the case of the state feedback, the observer and feedback can be obtained by solving two algebraic Riccati equations.     

数据驱动的保证收敛速率最优输出调节

针对具有外部系统扰动的线性离散时间系统的输出调节问题,提出了可保证收敛速率的数据驱动最优输出调节方法,包括状态可在线测量系统的基于状态反馈的算法,与状态不可在线测量系统的基于输出反馈的算法.首先,该问题被分解为输出调节方程求解问题与反馈控制律设计问题,基于输出调节方程的解,通过引入收敛速率参数,建立了可保证收敛速率的最...     

Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization

This paper shows that Lyapunov-based state feedback controller synthesis for piecewise-affine (PWA) slab systems can be cast as an optimization problem subject to a set of linear matrix inequalities (LMIs) analytically parameterized by a vector. Furthermore, it is shown that continuity of the control inputs at the switchings can be guaranteed by adding equality constraints to the problem without affecting its parameterization structure. Finally, it is shown that piecewise-affine state feedback controller synthesis for piecewise-affine slab systems to maximize the decay rate of a quadratic control Lyapunov function can be cast as a set of quasi-concave optimization problems analytically parameterized by a vector. Before casting the synthesis in the format presented in this paper, Lyapunov-based piecewise-affine state feedback controller synthesis could only be formulated as a bi-convex optimization program, which is very expensive to solve globally. Thus, the fundamental importance of the contributions of the paper relies on the fact that, for the first time, the piecewise-affine state feedback synthesis problem has been formulated as a convex problem with a parameterized set of LMIs that can be relaxed to a finite set of LMIs and solved efficiently to a point near the global optimum using available software. Furthermore, it is shown for the first time that, in some situations, the global can be exactly found by solving only one concave problem.     

带传输滞后的线性离散系统的状态反馈镇定

针对存在传输滞后的线性离散系统的状态反馈镇定问题,给出了系统可镇定的一个内部限制条件.为克服这一限制条件,提出了两种方法:一种是充分利用滞后状态的信息,另一种是设计带有递推动态的状态反馈控制器.研究结果表明,若系统在没有传输滞后时能通过状态反馈被镇定,则存在传输滞后时一定也能通过设计新的控制器使系统被镇定.     

Indefinite quadratic with linear costs optimal control of Markov jump with multiplicative noise systems

In this paper we consider the stochastic optimal control problem of discrete-time Markov jump with multiplicative noise linear systems. The performance criterion is assumed to be formed by a linear combination of a quadratic part and a linear part in the state and control variables. The weighting matrices of the state and control for the quadratic part are allowed to be indefinite. We present a necessary and sufficient condition under which the problem is well posed and a state feedback solution can be derived from a set of coupled generalized Riccati difference equations interconnected with a set of coupled linear recursive equations. For the case in which the quadratic-term matrices are non-negative, this necessary and sufficient condition can be written in a more explicit way. The results are applied to a problem of portfolio optimization.     

Leader-follower Consensus of Upper-triangular Nonlinear Multi-agent Systems

This paper is concerned with the leader-follower consensus problem by using both state and output feedback for a class of nonlinear multi-agent systems. The agents considered here are all identical upper-triangular nonlinear systems which satisfy the Lipschitz growth condition. First, it is shown that the leader-follower consensus problem is equivalent to the control design problem of a high-dimensional multi-variable system. Second, by introducing an appropriate state transformation, the control design problem can be converted into the problem of finding a constant parameter, which can be obtained by solving the Lyapunov equation and estimating the nonlinear terms of the given system. At last, an example is given to verify effectiveness of the proposed consensus algorithms.      

基于微分对策的最优状态观测器和最优状态反馈控制器的设计

研究了线性系统基于二次型指标的最优状态观测器和最优状态反馈控制器的设计问题．将观测状态的状态反馈和状态误差的输出反馈分别作为两个对局方,应用微分对策理论研究了系统的最优控制问题．给出了最优状态观测器和基于状态观测器的最优状态反馈控制的存在性条件．将系统的最优状态观测器和最优控制器的设计问题转化为一对Riccati方程的求解问题．研究表明最优状态观测器在一般情况下不存在．并进一步研究了基于状态观测器的次优控制问题,给出了基于LMI的优化算法．     

Fixed-time output regulation of linear delay systems by smooth time-varying control

This article investigates the fixed-time output regulation problem (FxTORP) for linear systems in the presence of input delay. A linear controller consisting of the linear periodic delayed feedback (PDF) gain and the feedforward gain obtained by solving regulator equations is designed, such that FxTORP is addressed. If only the measurable output can be used for feedback, a linear observer with periodic coefficient and artificial delay is designed so that its state converges to the state of the augmented system at a prescribed finite time. Based on the estimated state, the output regulation problem can also be solved by using observer-based output feedback. The most significant advantages of this article are that the PDF gain can be taken as smooth and the output regulation problem is achieved within a prespecified regulation time. Finally, a simulation example is given to substantiate the validity of the proposed approaches.