Delta 算子系统动态输出反馈 D-稳定鲁棒协方差控制

研究Delta 算子描述的线性不确定系统基于动态输出反馈的D- 稳定鲁棒协方差控制问题 .设计动态输出反馈控制器,使 Delta 算子不确定系统鲁棒D- 稳定,且稳态输出协方差矩阵具有给定上界. 利用线性矩阵不等式(LMI)方法,给出D- 稳定鲁棒协方差控制器存在的充分条件. 在此基础上,提出相应控制器的设计算法. 数值算例表明了该设计方法的可行性.

     

Delta算子时滞系统的可靠D--镇定

研究同时含有执行器故障和传感器故障的Delta算子时滞系统的鲁棒可靠D-镇定问题.利用矩阵特征值理论和线性矩阵不等式方法,给出了Delta算子时滞系统D-稳定的充分条件,进而,针对同时含有执行器故障和传感器故障的Delta算子范数有界参数不确定时滞系统,设计鲁棒可靠D-镇定状态反馈控制器,使得对于所有容许的不确定性、执行器故障和传感器故障,Delta算子闭环时滞系统的极点均落在复平面指定圆盘区域内.最后,通过数值算例验证了控制器设计方法的可行性和有效性.     

不确定Delta算子切换系统的鲁棒控制研究

研究了一类参数不确定线性Delta算子切换系统的鲁棒H∞控制问题.针对传统采用的Delta算子切换系统仅限于多Lyapunov函数方法,使系统仅实现渐进稳定,收敛速度慢.为了提高控制系统的稳定性,解决系统的状态反馈鲁棒H∞控制的难点问题,首次提出利用多Lyapunov函数和平均驻留时间方法,以线性矩阵不等式的形式给出了参数不确定Delta算子切换系统指数稳定性条件,并进行了H∞性能分析,从而进一步给出系统鲁棒H∞控制器的设计方法.所设计的控制器不但保证系统参数不确定时闭环系统指数稳定,而且满足所期望的H∞性能指标.仿真结果证明了设计方法的有效性和可行性.     

基于输出反馈的鲁棒容错D-稳定性分析

研究线性不确定系统基于输出反馈的鲁棒容错控制问题.基于连续型执行器故障模式,利用线性矩阵不等式LMI,给出了系统基于输出反馈的鲁棒容错D-稳定的充分条件,并把控制器的设计方法归结为求解一族线性矩阵不等式组.与常规的方法相比,给出的控制器不仅保证闭环系统对执行器故障具有完整性,并且使闭环系统的极点配置在指定区域D中.通过仿真示例表明,无论执行器发生故障与否,得到的基于输出反馈的鲁棒容错控制器均保证闭环系统是D-稳定的,从而验证了所提出设计方法的有效性.     

传感器有故障的Delta算子线性不确定系统的鲁棒D–稳定

研究传感器有故障的Delta算子线性不确定系统的鲁棒D–稳定问题, 旨在设计控制器以消除系统不确定性和传感器故障的影响, 确保闭环系统极点落在复平面指定圆盘区域内. 由于传感器故障具有连续的故障模型, 本文采用线性矩阵不等式(LMI)方法, 利用故障模型的结构信息, 得出了Delta算子系统状态反馈鲁棒D–稳定控制器存在的充分条件, 并由此提出相应控制器设计方法. 数值算例表明设计方法的可行性和有效性.     

一类不确定系统鲁棒容错D-稳定性分析

研究不确定系统D-稳定鲁棒容错H∞控制问题.基于连续型执行器故障模式,利用线性矩阵不等式(LMI)给出了系统D-稳定的鲁棒容错输出反馈控制器存在的充分条件,并将动态输出反馈控制器设计方法归结为求解一族线性矩阵不等式组.仿真示例表明,无论执行器是否发生故障,所得到的动态输出反馈控制器不仅保证闭环系统是D-稳定的,而且满足给定的H∞干扰指标,从而验证了所提出的控制器设计方法的有效性.     

一类不确定系统的鲁棒D-稳定保守性研究

针对一类多面体不确定线性连续系统,研究了系统鲁棒D-稳定问题.为降低设计的保守性,引入参数相关Lyapunov函数,给出了系统鲁棒D-稳定的充分条件.通过求解一组线性矩阵不等式,得到了系统鲁棒D-稳定的状态反馈控制器,使得闭环系统鲁棒D-稳定.对某卫星姿态控制系统的仿真结果表明了该方法的有效性.     

不确定广义模糊系统的鲁棒模糊H∞控制器设计

研究了不确定广义模糊系统鲁棒H∞状态反馈控制器和动态输出反馈控制器设计问题。在E确定其它系数矩阵均存在不确定性情况下，给出鲁棒模糊H∞状态反馈控制器和动态输出反馈控制器存在的充分条件。鲁棒H∞状态反馈控制律的设计可能通过求解线性矩阵不等式得到，而动态输出反馈鲁棒H∞控制器可通过定义新变量得到，所求控制器使闭环系统对所有的不确定性稳定且满足H∞性能指标γ。     

Delta算子系统具有极点约束的鲁棒非脆弱方差控制

研究Delta算子描述的线性不确定系统具有圆形区域极点约束的鲁棒非脆弱方差控制问题. 针对系统参数范数有界不确定性和控制器的乘性增益不确定性, 运用线性矩阵不等式(LMI)方法, 提出具有圆形区域极点约束的状态反馈鲁棒非脆弱方差控制器存在的条件和设计方法. 数值算例表明设计方法的可行性.     

线性广义系统的鲁棒严格耗散控制

利用线性矩阵不等式(LMI)方法,给出线性广义系统容许且严格耗散的充分必要条件,由此得到状态反馈和动态输出反馈严格耗散控制器的存在条件及设计方法.考虑除E外所有系数矩阵均具有范数有界时变不确定性的广义系统的鲁棒严格耗散控制问题,给出了系统广义二次稳定且严格耗散的充分条件,以及状态反馈和动态输出反馈鲁棒严格耗散控制器的存在条件及构造方法.     

Observer-based H-infinity output feedback control with feedback gain and observer gain variations for Delta operator system

Considering that the controller feedback gain and the observer gain are of additive norm-bounded variations, a design method of observer-based H-infinity output feedback controller for uncertain Delta operator systems is proposed in this paper. A sufficient condition of such controllers is presented in linear matrix inequality （LMI） forms. A numerical example is then given to illustrate the effectiveness of this method, that is, the obtained controller guarantees the closed-loop system asymptotically stable and the expected H-infinity performance even if the controller feedback gain and the observer gain are varied.     

一类不确定线性时滞系统的输出反馈鲁棒镇定

研究一类不确定线性时滞系统的输出反馈鲁棒镇定问题,其中不确定性不必满足匹配条件。以二次Lyapunov泛函保证系统的渐近稳定性,利用线性矩阵不等式给出了系统可以利用动态输出反馈鲁棒镇定的充分条件。当此条件成立时,基于线性矩阵不等式的解构造了全阶动态输出反馈镇定控制器。     

线性离散时滞系统的D稳定容错控制

采用状态反馈和带时滞的状态反馈控制律，基于Lyapunov稳定性理论和Riccati方程，针对线性离散一步时滞系统，研究了执行器失效后有一定性能保证的D稳定容错控制问题。在给出对执行器失效具有完整性的D稳定容错控制系统需满足的一个充分条件的基础上，给出了控制器的设计方法和步骤，并推广至传感器失效情况。仿真结果证实了这种方法的有效性，与仅引入状态反馈控制律相比，此方法有更好的动态响应性能。最后指出了时滞状态反馈增益矩阵的选取原则。     

ROBUST OUTPUT FEEDBACK CONTROLLER DESIGN WITH COVARIANCE AND DISC CLOSED‐LOOP POLE CONSTRAINTS

This paper is concerned with the problem of robust output feedback controller design for a class of linear discrete‐time systems with normbounded uncertainty. The objective is to design a controller such that the closed‐loop poles are assigned within a specified disc and the steady regulated output covariance is guaranteed to be less than a given upper bound. Using a linear matrix inequality (LMI) approach, the existence conditions of such controllers are derived, and a parametrized characterization of a set of desired controllers (if they exist) is presented in terms of the feasible solutions to a set of LMIs. A procedure is given to select a suitable output feedback controller that minimizes the desired control effort.     

Dynamic output feedback control with output quantizer for nonlinear uncertain T‐S fuzzy systems with multiple time‐varying input delays and unmatched disturbances

The dynamic output feedback control problem with output quantizer is investigated for a class of nonlinear uncertain Takagi‐Sugeno (T‐S) fuzzy systems with multiple time‐varying input delays and unmatched disturbances. The T‐S fuzzy model is employed to approximate the nonlinear uncertain system, and the output space is partitioned into operating regions and interpolation regions based on the structural information in the fuzzy rules. The output quantizer is introduced for the controller design, and the dynamic output feedback controller with output quantizer is constructed based on the T‐S fuzzy model. Stability conditions in the form of linear matrix inequalities are derived by introducing the S‐procedure, such that the closed‐loop system is stable and the solutions converge to a ball. The control design conditions are relaxed and design flexibility is enhanced because of the developed controller. By introducing the output‐space partition method and S‐procedure, the unmatched regions between the system plant and the controller caused by the quantization errors can be solved in the control design. Finally, simulations are given to verify the effectiveness of the proposed method.     

A linear differential operator approach to flatness based tracking for linear and non-linear systems

This contribution presents a flatness based solution to the tracking for linear systems in differential operator representation. Since the differential operator representation is a flat system representation, tracking controllers can easily be designed using dynamic output feedback. Then, the differential operator approach for flatness based tracking of linear systems is extended to non-linear systems. The design of the resulting linear time varying dynamic output feedback controller is based on a linearization about the trajectory, which directly yields the differential operator representation. Different from the non-linear flatness based controller design the new approach uses linear methods, both in stabilizing the tracking and in computing the output feedback controller. The proposed design procedure assures exact tracking in the steady state when no disturbances are present. A simple example demonstrates the design of a dynamic output feedback controller for the tracking of a non-linear system.     

基于LMI的非线性时滞系统的输出反馈控制

利用模糊T—S模型对一类不确定非线性时滞系统进行模糊建模，在此基础上研究基于观测器的模糊动态输出反馈控制，利用矩阵不等式(LMI)算法给出了模糊闭环系统稳定的充分条件及其反馈控制增益和观测器增益的求法，以及输出反馈控制器的设计方法。最后仿真结果证明所提出的控制方法是有效的。     

Robust H/sub /spl infin// control for uncertain discrete-time-delay fuzzy systems via output feedback controllers

This work investigates the problem of robust output feedback H/sub /spl infin// control for a class of uncertain discrete-time fuzzy systems with time delays. The state-space Takagi-Sugeno fuzzy model with time delays and norm-bounded parameter uncertainties is adopted. The purpose is the design of a full-order fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop system and guarantees an H/sub /spl infin// norm bound constraint on disturbance attenuation for all admissible uncertainties. In terms of linear matrix inequalities (LMIs), a sufficient condition for the solvability of this problem is presented. Explicit expressions of a desired output feedback controller are proposed when the given LMIs are feasible. The effectiveness and the applicability of the proposed design approach are demonstrated by applying this to the problem of robust H/sub /spl infin// control for a class of uncertain nonlinear discrete delay systems.     

Inertia‐free saturated output feedback attitude stabilization for uncertain spacecraft

In this article, the problem of robust output feedback attitude stabilization control for a class of uncertain spacecraft is investigated, which contains external disturbances, model parameter uncertainty, unknown and uncertain inertia, controller's gain perturbations, measurement errors, and input saturation. The aim of this work is to design a dynamic output feedback controller such that the closed‐loop attitude system is stabilized, while the H_∞ norm of the transfer function from the lumped disturbance and measurement error to output is ensured to be less than a pre‐specified disturbance attenuation level, and the actual control input is confined into a certain range simultaneously. Based on the Lyapunov theory, the existence conditions of such controller are derived in terms of linear matrix inequalities. It is worth mentioning that the controller's additive and multiplicative perturbations are accounted for respectively. An illustrative example is given to demonstrate the effectiveness and advantage of the proposed control design method.