不稳定零动态解开设计的鲁棒性

对零动态解开法用于输出反馈控制进行了详细分析,零动态解开法是一种回路变换法,通过变换将一个对不稳定对象进行镇定的控制器变换成对非最小相位系统的控制器.变换中虽然系统的特征方程式不变,但由于回路的结构已经改变,二者的鲁棒性并不等价.文中以一典型的非最小相位系统为例,详细分析了这种设计方法的鲁棒性.     

一类线性不确定组合系统的输出反馈分散输出跟踪控制

讨论了线性不确定组合系统的鲁棒分散输出渐近跟踪问题.基于Lyapunov方程正定解的存在性,给出了输出反馈跟踪控制器的设计方法.对于系统中所有允许的不确定性,所设计的控制器均使系统的输出渐近跟踪所给定的参考信号,同时系统的状态保持有界.     

不稳定对象及非最小相位对象的自抗扰控制仿真研究

针对倒立摆、水轮机调速器、鱼雷定深、飞机高度及直升机俯仰角的控制 ,分别设计了自抗扰控制器 ( ADRC) ,给出其数值仿真结果 ,并与其它控制方案的仿真结果进行比较。仿真研究发现 ,只要对控制器的设计略加改造 ,ADRC对上述对象都具有满意的控制性能 ,从而显示出 ADRC在不稳定对象和非最小相位对象控制中的应用前景。     

不稳定零动态系统的鲁棒控制

不稳定零动态系统的特点是存在不稳定模态.不稳定零动态与不稳定模态有联系但并不等同,不稳定零动态具有不变性,而不稳定模态则是可以被镇定的.采用复合控制,用快速回路直接对不稳定子系统进行镇定,而对于取输出进行反馈的慢变回路来说,将快速回路的动特性作为未建模动态而采用常规的鲁棒控制方法进行设计.整个设计具有鲁棒性.以小车-倒摆系统为例对设计过程作了详细的说明.     

非最小组位控制系统的智能设计方法

提出了两种非最小相位控制系统的智能设计方法，并以此设计了控制系统，证实了设计方法能同时满足系统的稳定怀，鲁棒性，静态动态性能，以及控制器的简单性和控制本身的稳定性等方面的要求。     

编解码和时延约束下的网络化控制系统最优跟踪性能

本文研究了具有丢包、时延、编解码等通信资源受限下多输入多输出离散时间网络控制系统的最优跟踪性能. 基于频域方法, 采用二元随机过程来模拟数据包丢失, 并假设信道噪声是加性高斯白噪声(AWGN), 推导了在丢包、信道噪声、时延和编解码影响下的跟踪性能极限. 采用单参数补偿器(SDOF), 利用互质分解、Youla参数化等工具得到了编解码和时延约束下的网络控制系统最优跟踪性能的显式表达式. 结果表明, 跟踪性能与对象的固有特性(非最小相位零点与不稳定极点的位置和方向)、时延、丢包率和AWGN 功率谱密度密切相关.     

基于丢包和带宽限制网络化系统稳定性分析

基于数据包丢失和网络带宽限制研究了网络化系统稳定性问题.通信网络的特征通过数据包丢失、带宽和加性白噪声来体现.采用频域的方法得到了网络化系统稳定所需信噪比的最小(极限)值.该最小(极限)值说明了网络化系统稳定所需信噪比是由通信网络通道的丢包率、带宽、系统的不稳定极点的位置和非最小相位零点的位置决定.研究结果进一步揭示网络化系统稳定所需信噪比的最小(极限)值与系统本质特征(非最小相位零点的位置和不稳定极点的位置)和通信网络参数(数据包丢失和带宽)的关系.仿真结果说明该理论的正确性.     

不稳定对象及非最小相位对象的自抗优控制仿真研究

针对倒立摆、水轮机调速器、鱼雷定深、飞机高度及直升机俯仰角的控制,分别设计了自抗扰控制器（ADRC）,给出其数值仿真结果,并与其它控制方案的仿真结果进行比较。仿真研究发现,只要对控制器的设计略加改造,ADRC对上述对象都具有满意的控制性能,从而显示出ADRC在不稳定对象和非最小相位对象控制中的应用前景。     

基于互质分解法的内模控制系统的研究

本文针对内模控制在工业领域中应用的局限,结合现代频域理论的知识,提出了基于互质分解法的二自由度内模控制结构。仿真表明,此方法不仅对具有大时滞和非最小相位的对象有较好的控制效果,而且对干扰和模型失配具有较强的鲁棒性。     

Dynamic output feedback integral sliding mode control design for uncertain systems

This paper addresses the problem of designing a dynamic output feedback sliding mode control algorithm for linear MIMO systems with mismatched parameter uncertainties along with disturbances and matched nonlinear perturbations. Once the system is in the sliding mode, the proposed output‐dependent integral sliding surface can robustly stabilize the closed‐loop system and obtain the desired system performance. Two types of mismatched disturbances are considered and their effects on the sliding mode are explored. By introducing an additional dynamics into the controller design, the developed control law can guarantee that the system globally reaches and is maintained on the sliding surface in finite time. Finally, the feasibility of the proposed method is illustrated by numerical examples. Copyright © 2011 John Wiley & Sons, Ltd.     

Output feedback control for a class of nonlinear systems

This paper studies the global stabilization problem by an output controller for a family of uncertain nonlinear systems satisfying some relaxed triangular-type conditions and with dynamics which may not be exactly known. Using a feedback domination design method, we explicitly construct a dynamic output compensator which globally stabilizes such an uncertain nonlinear system. The usefulness of our result is illustrated with an example.     

Adaptive hierarchical control for output feedback systems

In this paper, we address the problem of adaptive hierarchical control for a class of so-called uncertain output feedback systems. The proposed approach is to design an adaptive output interface dynamic by estimating the uncertainties. With the interface connected to the uncertain nonlinear system and a linear abstract system, the system could track approximately the abstraction. Finally, two examples are presented to illustrate our approach.     

Robustness of dynamic output feedback control for singular perturbation systems

The problem of the robustness of dynamic output feedback control for singular perturbation systems is investigated. The solution to this problem is reduced to the simultaneous design of static output feedback controllers for the fast subsystem and the so-called auxiliary system of the slow subsystem. Some conditions are proposed to ensure the robustness of the actual closed-loop system. The exact upper bound of the parasitic parameter for the controlled system is also determined. Finally, an actual model which failed in dynamic output feedback control in [4] is reexamined successfully here.     

Truncated predictor feedback control for exponentially unstable linear systems with time-varying input delay

The stabilization of exponentially unstable linear systems with time-varying input delay is considered in this paper. We extend the truncated predictor feedback (TPF) design method, which was recently developed for systems with all poles on the closed left-half plane, to be applicable to exponentially unstable linear systems. Assuming that the time-varying delay is known and bounded, the design approach of a time-varying state feedback controller is developed based on the solution of a parametric Lyapunov equation. An explicit condition is derived for which the stability of the closed-loop system with the proposed controller is guaranteed. It is shown that, for the stability of the closed-loop system, the maximum allowable time-delay in the input is inversely proportional to the sum of the unstable poles in the plant. The effectiveness of the proposed method is demonstrated through numerical examples.     

Global output feedback control for nonlinear cascade systems with unknown output functions and unknown control directions

This paper investigates the output feedback control for the uncertain nonlinear system with the integral input‐to‐state stable (iISS) cascade subsystem, which allow not only the unknown control direction but also the unknown output function. The unknown output function only needs to have a generalized derivative (which may not be derivable), and the upper and lower bounds of the generalized derivative need not to be known. To deal with the challenge raised by the unknown output function and the unknown control direction, we choose a special Nussbaum function with a faster growth rate to ensure the integrability for the derivative of the selected Lyapunov function. Then, a dynamic output feedback controller is designed to drive the system states to the origin while keeping the boundedness for all other closed‐loop signals. Moreover, via some appropriate transformations, the proposed control scheme is extended to deal with more general uncertain nonlinear cascade systems with quantized input signals. Finally, two simulation examples are given to show the effectiveness of the control scheme.     

Approximate linearization of nonlinear control systems

The paper address the problem of approximate linearization of a nonlinear control system by state feedback or dynamic feedback. The main result proved is that if the fast k d-relative degrees are equal to each other, then the input-output response of a nonlinear control system can be linearized to degree k. Any system having linear d-relative degree can be linearized to any degree by dynamic feedbacks. One example of signal tracking using dynamic feedback linearization method to improve the performance is also given.     

Passivity analysis and control for discrete-time two-dimensional switched systems in Roesser model

This paper investigates the passivity issues of discrete-time two-dimensional switched systems in Roesser model under a state-dependent switching law. Conditions for passivity of discrete-time two-dimensional switched systems are obtained without the requirement of passivity of subsystems. When the system states are completely available, state feedback controllers and switching laws are designed. In the case of partial state measurements, dynamic output feedback controllers and switching laws depending only on the state of the output feedback controllers are constructed to guarantee passivity of the closed-loop switched system. Finally, numerical examples are provided to illustrate the efficiency of the results.     

Event-triggered output feedback control for two-time-scale systems with structured uncertainty

This paper investigates the event-triggered output feedback control problem for the two-time-scale systems with structured uncertainty. Due to the non-ignorable problem in applications such as equipment aging or parameter drifting, the robustness of the designed controller is worth discussing. A dynamic event-triggered scheme is proposed to reduce the computational cost of the control signal. The results indicate that with the proposed event-triggered controller, the system can achieve asymptotic stability without some common restrictions on the fast system rather than practical stability. Moreover, the Zeno behavior is excluded. Simulation examples with comparison studies illustrate the effectiveness of the proposed method.