一类时滞系统的PID稳定控制器设计

针对工业控制过程中常见的时滞系统,给出了快速计算PI和PID控制器所有稳定参数集的方法。推导了系统开环不稳定情形下稳定控制器存在的必要性条件．通过在该稳定参数区域上进行性能指标寻优,可以得到满足控制器设计性能指标要求的PID控制器参数区域。仿真实例表明了该方法的优越性。     

一类Neutral时滞系统的鲁棒故障检测方法

针对一类具有不确定输入的 Neutral时滞系统 ,应用 H∞ 控制理论和 L yapunov原理得到了系统的带记忆状态观测器的鲁棒故障检测方法。证明并给出了观测器对不确定性具有 L2 范数界的渐近稳定条件和增益阵设计的线性矩阵不等式(L MI)方法 ,同时使残差体现了对故障信号响应的灵敏度。仿真算例表明了该方法进行鲁棒故障检测的有效性。     

基于履带车自适应鲁棒控制器的研究

自适应鲁棒控制算法一直是非线性控制领域研究的热门课题。对于履带控制,正好是一个多输入多输出、非线性的系统,符合自适应鲁棒控制算法的设计思想,本篇论文以履带车行走控制为研究对象,对已建好的履带车样机为控制对象,使用MATLAB/Simulink仿真软件,对自适应鲁棒控制算法进行建模,设计出合适的控制律,从而驱动履带车行走的实际状态,最终得到履带车行走控制,快速且平稳的到达期望的状态。     

基于观测器的直流电机的鲁棒控制器设计

本文针对一类不确定系统,设计一种基于非线性观测器预估的鲁棒控制器.考虑到电机的动态非线性,设计基于观测器的鲁棒控制器,从而给直流电机系统提供了一种有效的控制.仿真结果表明,本文提出的这种控制策略适用于参数不确定情况下的直流电机系统的速度调节且具有较好的速度跟踪性能.     

广域测量时变时滞电力系统鲁棒稳定性的新判据

针对某一增广的Lyapunov-Krasovskii函数,利用二阶Bessel-Legendre不等式和改进的逆凸不等式方法导出了稳定性判据,并在求导过程中对改进的广义Lyapunov-Krasovskii函数的积分项进行分段处理,避免缩放性误差。通过单机无穷大系统进行实例仿真,得出系统时滞稳定裕度的计算结果,由此实现了对这一方法有效性与可行性的成功验证。     

一类时滞对象鲁棒稳定性分析方法的保守性讨论

针对目前一类流行的时滞对象鲁棒稳定性分析方法的保守性进行了讨论,为读者在工程中合理选用这类方法提供了参考。     

具有控制器增益变化的离散系统时滞记忆鲁棒可靠控制

研究具有控制器增益变化的不确定时滞系统的鲁棒可靠控制.针对同时具有状态时滞和输入时滞的不确定离散系统,通过引入有增益变化的状态反馈控制器,给出了含有记忆和无记忆状态反馈鲁棒可靠控制器的存在条件.在H∞性能指标约束下,又给出了有外界扰动输入时含有记忆和无记忆状态反馈鲁棒H∞可靠控制器的设计方法.仿真结果表明了该方法的可行性.     

基于δ算子的离散广义系统鲁棒控制器的设计

研究了带有外部干扰的离散广义系统鲁棒控制器的设计问题,给出了系统鲁棒镇定的线性矩阵不等式条件.     

一类不确定性时变系统的鲁棒重复控制系统设计

针对一类具有时变参数不确定的线性系统,提出一种鲁棒重复控制系统的设计方法,能同时设计重复控制器和镇定控制器。将重复控制系统转变成标准H_∞控制问题,再将同时设计重复控制器和镇定控制器的问题用线性矩阵不等式方法 (LMI)的优化来解决。通过所提出的迭代算法计算得到重复控制器及其对应的镇定控制器。仿真示例验证了所提出方法的有效性。     

一种简单的鲁棒控制器的设计

当今大部分船舶航向保持器的设计都采用Nomoto线性模型,忽略了船舶操纵运动的非线性因素,未能彻底解决船舶的航向控制问题.选择状态反馈精确线性化方法,将响应型船舶运动的非线性数学模型进行线性化,再利用鲁棒控制器进行控制,然后在Matlab的Simulink下进行系统仿真.仿真结果表明,所设计的控制器具有良好的控制能力.     

一类混合时滞系统的观测器设计

对于一类具有状态和有限自动机输出时滞的离散混合系统,给出了混合观测器的设计方法。观测器由一个位置观测器和一个离散状态观测器组成。前者应用自动机观测器来确定混合系统的当前位置,后者应用龙伯格观测器对系统离散状态的演化进行估计。对于每一个独立的观测器,系统的信息往往不完全,为了在这种情况下仍能应用混合观测器对系统进行观测,在两类独立观测器的基础上给出了一个新的信号产生器,将两类观测器有机结合起来。同时给出了信号产生器中决策函数的充分条件,进一步得到了整个混合观测器指数收敛的充分条件。保证该混合观测器能在有限步内判断出系统的当前位置,同时指数收敛于真实离散时间状态。最后,给出了仿真例子说明设计方法的可行性和有效性。     

一类不确定系统分布式鲁棒融合滤波器设计

结合鲁棒滤波理论与数据融合技术,基于参数依赖Lyapunov函数,研究了一类多传感器不确定连续系统的鲁棒融合滤波器设计问题.在集中式融合的基础上,探讨了分布式加权融合滤波器的设计方法,通过仿真实验比较了鲁棒融合滤波器的性能.仿真结果表明,利用该分布式加权融合算法,不仅可解决系统模型中存在参数不确定性时的滤波问题,且鲁棒性好和计算量低,可以满足不同精度鲁棒融合滤波器的设计需要,具有较大的灵活性.     

Improved delay-range-dependent robust stability for uncertain systems with interval time-varying delay

This paper is concerned with the improved delay-range-dependent stability and robust stability criteria for linear systems with time-varying delay and norm-bounded uncertainties. In order to obtain much less conservative criteria, a Lyapunov-Krasovskii functional (LKF), which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to derive new stability criteria. By using delayed decomposition approach (DDA), a tighter upper bound of the derivative of Lyapunov functional can be obtained, and thus the proposed criteria give results with less conservatism compared with some previous ones. The resulting criteria have advantages over some previous ones in that it involves fewer matrix variables but has less conservatism, which are established theoretically. We show, by four well known examples, that our result overcomes the previous allowable maximum admissible upper bound (MAUB) of the time-delay and it is less conservative than the previous results having a relatively small upper bound in the derivative of time delay.     

Robust preview control for a class of uncertain discrete-time systems with time-varying delay

This paper proposes a concept of robust preview tracking control for uncertain discrete-time systems with time-varying delay. Firstly, a model transformation is employed for an uncertain discrete system with time-varying delay. Then, the auxiliary variables related to the system state and input are introduced to derive an augmented error system that includes future information on the reference signal. This leads to the tracking problem being transformed into a regulator problem. Finally, for the augmented error system, a sufficient condition of asymptotic stability is derived and the preview controller design method is proposed based on the scaled small gain theorem and linear matrix inequality (LMI) technique. The method proposed in this paper not only solves the difficulty problem of applying the difference operator to the time-varying matrices but also simplifies the structure of the augmented error system. The numerical simulation example also illustrates the effectiveness of the results presented in the paper.     

A delay decomposition approach to robust stability analysis of uncertain systems with time-varying delay

This paper is concerned with delay-dependent robust stability for uncertain systems with time-varying delays. The proposed method employs a suitable Lyapunov-Krasovskii's functional for new augmented system. Then, based on the Lyapunov method, a delay-dependent robust criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs) which can be easily solved by various optimization algorithms. Numerical examples are included to show that the proposed method is effective and can provide less conservative results.     

Robust stabilizing first-order controllers for a class of time delay systems

In this paper, stabilizing regions of a first-order controller for an all poles system with time delay are computed via parametric methods. First, the admissible ranges of one of the controller’s parameters are obtained. Then, for a fixed value of this parameter, stabilizing regions in the remaining two parameters are determined using the D-decomposition method. Phase and gain margin specifications are then included in the design. Finally, robust stabilizing first-order controllers are determined for uncertain plants with an interval type uncertainty in the coefficients. Examples are given to illustrate the effectiveness of the proposed method.     

Robust controller for uncertain parameters systems

In this paper, we present the synthesis of a robust controller for Linear Time Invariant (LTI) uncertain systems. A linear parametric uncertainties model is used to describe the system dynamic behavior. The main purpose of this controller is to guarantee some step response performances such as the settling time and the overshoot. The controller synthesis is formulated as a min-max optimization problem which takes in account the desired closed-loop performances and the uncertainties on the model parameters. Then the controller parameters represent the best solution for the worst case of all possible models. In order to emphasize its performances and its efficiency, a real time implementation of the proposed controller on a laboratory pilot plant has been presented.     

The design of NMSS fractional-order predictive functional controller for unstable systems with time delay

Open-loop unstable systems are more difficult to control than stable processes. In presence of time delay and uncertainty, the complexity of problem increases. In this paper, non-minimal state space predictive functional control (NMSS-PFC) infrastructure has been generalized for control of unstable systems with time delay. At first, NMSS system representation has been extended for a so-called coprime-factorized equivalent model of the unstable processes. Then, the proposed NMSS-fractional-order PFC (NMSS-FOPFC) has been formulated via a fractional order cost function in terms of the output tracking error vector. In the developed formulation and via the NMSS structure, the constraints on inputs of the system could be easily formulated and employment of fractional order cost function led to improved performance even in case of disturbances, perturbations or uncertainties. Closed loop robust stability analysis was also performed based on small gain theorem and verified via simulations. Simulation examples show that the proposed NMSS-FOPFC results in improved nominal and perturbed responses compared to conventional methods. Comparison has been carried out by considering integral of absolute error (IAE) and integral of squared error (ISE) as well as step response transient and steady state properties and the control effort.     

不确定线性系统鲁棒跟踪控制器的优化设计

基于优化二次型性能指标,以MATLAB为工具对具有乘性不确定线性系统的鲁棒跟踪控制器的优化设计问题进行研究.以一实例来说明鲁棒跟踪控制器具体的设计方法,给出该不确定系统鲁棒跟踪控制器的参数及系统的跟踪轨迹曲线.结果表明,所设计的鲁棒跟踪控制器能有效的跟踪给定,所提出的设计方法是有效的.