智能型状态观测器的研究

以智能技术为基础，提出了一种新型智能状态观测器的基本结构和设计，并将其用于ＳＦ型矢量控制。仿真结构表明，将智能扰动控制器用于前馈补偿，系统的性能有了明显的改善，具有一定的实用价值。     

Visualisation in the Simulation and Control of Economic Models

Simulation of economic models is frequently used in the investigation of economic policy. Yet one of the problems with simulation is that it can be difficult to appreciate the model properties due to the nature of the simulation process. Stochastic simulation, for example, can produce large quantities of output which can be difficult to comprehend. Further, when mathematically sophisticated techniques such as the use of optimal control and Kalman Filtering are applied to models, the simulation process can become even more complex. Visualisation techniques in model building, simulation, and analysis of simulation output can help reduce the complexity. This is especially the case with interactive simulation. In this paper we investigate the use of visualisation in simulation by examining the application of optimal control techniques to a stochastic forward looking analytic economic model. We also use interactive object oriented simulation software where objects, such as components of models or graphs of outputs, can be visually manipulated to form simulation systems. We find that the use of visualisation can make the investigation of policy analysis issues with such models more comprehensible.     

非线性系统变结构观测器

本文研究了非线性系统的变结构观测器，分别讨论了干扰满足及不满足匹配条件下观测器的鲁棒性，证明了观测器的构造误差是一致最终有界的。     

单输入/单输出非线性系统的状态观测器设计*

本文提出了一类非线性系统的状态观测器设计方法，针对单输入／单输出非线性系统，首先通过非线性状态变换，把原非线性系统变换成简单的中间非线性模型；然后对该简单的中间非线性模型设计稳定的常增益状态观测器，从而经状态逆变换得到原非一系统的非线性状态探测器，最后通过一倒立摆非线性系统的仿真研究说明了该方法的有效性和可行性。     

论时间导数的观察者

本文从物质导数的定义出发,对质点物质导数的观察者提出与文献[1]不同的看法,并由此展开对质点时间导数的物理含意的分析与论证。     

一类不确定对象的扩张状态观测器

利用观测器形式的跟踪一微分器,对形如ｘ＾（ｎ）＝ｆ（ｘ,ｘ,．．．Ｘ＾（ｎ－１）,ｔ）＋Ｗ（ｔ）的不确定系统给出了“扩张状态观测器”。只要适当选取观测器中的非线性函数和相应参数,它能很好地跟踪一批不确定对象的扩张状态。     

Output regulation boundary control of first-order coupled linear MIMO hyperbolic PIDE systems

ABSTRACT

The work addresses the output regulation problem for coupled linear multiple input multiple output (MIMO) hyperbolic partial integro-differential equation systems with disturbances affecting the systems through the space and boundary input. The exosystems are extended to generate ramp signals and general family of polynomial signals. The system decomposition is applied through the state transformation and yields a decoupled equivalent system. Based on the decoupled form, the backstepping transformation is applied and then in the new coordinate, the full state and output-feedback regulators are designed, respectively. For the state feedback regulator, the corresponding regulator equation is obtained and its solvability conditions are provided to facilitate the regulator design and feasibility. The design of observer-based regulator is based on the decoupling of the observer error system into a PDE subsystem and an ODE subsystem so that the backstepping approach achieves stabilisation by eigenvalue assignment leading to design of observer stabilizing gains.     

An approach to improve active disturbance rejection control

ABSTRACT

In order to reduce the error and phase delay of the classical extended state observer (ESO) in estimating the system state and disturbance, in this paper, we combine ESO and tracking differentiator (TD) to construct a tracking differential extended state observer (TDESO). The observation error and observation speed of TDESO are also discussed. Then a nonlinear active disturbance rejection control system improved by TDESO for a linear plant is transformed into a Lurie system. Moreover, the circular criterion is used to analyse the absolute stability of the transformed Lurie system. Finally, TDESO is optimised and an improved linear state error feedback (PLSEF) is proposed to improve the rapidity of the system by using simulation and time domain analysis. And a second-order system is used to illustrate the performance of the proposed scheme. The simulation results show that our algorithm is effective.     

一阶线性自抗扰控制的整定

线性自抗扰控制（linear active disturbance rejection control,LADRC）是解决系统外部不可测扰动和内部未知不确定性的一种新型控制方法。其精髓是将系统的不确定性转化为一个可观测的状态,利用扩张状态观测器进行实时估计,并用状态反馈控制率实时进行补偿。在满足鲁棒度策略和时间乘平方误差积分的约束条件下,首先针对一阶惯性加迟延模型提出了一阶LADRC的整定公式,然后通过典型的基准系统和温度控制实验,对整定公式进行测试,最后与常规的SIMC （simplified internal model control）-PI （proportional-integral）整定方法进行性能比较。仿真结果证明了该一阶LADRC整定公式的可行性,拓展了其在工业控制领域的应用。     

轮式移动机器人轨迹跟踪控制研究

针对轮式移动机器人参数摄动和内外部扰动等问题,提出一种新型的基于自适应扩张状态观测器的滑模控制算法。采用自适应虚拟速度控制器估计系统未知参数,滑模控制器抑制参数摄动和内外部扰动,非线性扩张状态观测器观测系统扰动并减小控制输入的抖振,实现了轨迹跟踪误差的快速收敛。利用Lyapunov稳定性理论证明了控制算法的稳定收敛性。将所提算法与传统自适应反演滑模算法进行对比,对比结果表明了所提算法的有效性和鲁棒性。