A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon

This paper concerns the absolute stability problem of discrete-time descriptor systems with feedback connected ferromagnetic hysteresis nonlinearities. The ferromagnetic hysteresis model satisfies the passivity conditions of hysteresis operator, that is the input-output relation of the transformed operator is passive. The bound condition of the solution of the ferromagnetic hysteresis model is given. Through the framework of loop transformation, an augmented discrete-time descriptor system model is established for the stability analysis. A new extended Tsypkin criterion for the absolute stability of discrete-time descriptor systems with hysteresis is presented based on the linear matrix inequalities technique. A numerical example is given to illustrate the effectiveness of the extended criterion.

Attitude sensor fault diagnosis based on Kalman filter of discrete-time descriptor system

To diagnose the fault of attitude sensors in satellites, this paper proposes a novel approach based on the Kalman filter of the discrete-time descriptor system. By regarding the sensor fault term as the auxiliary state vector, the attitude measurement system subjected to the attitude sensor fault is modeled by the discrete-time descriptor system. The condition of estimability of such systems is given. And then a Kalman filter of the discrete-time descriptor system is established based on the methodology of the maximum likelihood estimation. With the descriptor Kalman filter, the state vector of the original system and sensor fault can be estimated simultaneously. The proposed method is able to esti-mate an abrupt sensor fault as well as the incipient one. Moreover, it is also effective in the multiple faults scenario. Simulations are conducted to confirm the effectiveness of the proposed method.

Non-fragile observer-based passive control for descriptor systems with time-delay

This paper investigates the problem of non-fragile observer-based passive control for descriptor systems with time-delay. The perturbations in both the control gain and observer gain of the observer-based controller are considered. For the cases of the additive perturbations and multiplicative perturbations, sufficient conditions are given such that the closed-loop systems are admissible and passive with dissipation η. The observer-based controller gains could be obtained from the solutions of linear matrix inequalities （LMIs）. Moreover, the maximum dissipation of the system is provided. Simulation examples are given to show the effectiveness of the deign methods.

Robust Stabilization for Linear Time-varying Uncertain Periodic Descriptor Systems

这个问题赶出为线性变化时间的不明确的周期的描述符系统的稳定被重游。为线性变化时间的不明确的周期的描述符系统基于柔韧的稳定性的概念，为柔韧的稳定性的一个必要、足够的条件被提出。柔韧的稳定问题也被学习，相应必要、足够的条件用双系统的符号被给。获得的矩阵不平等条件能被转变到与一些免费矩阵的介绍的线性矩阵不平等一，它使分析和设计过程简单、可靠。

Optimal guaranteed cost control for fuzzy descriptor systems with time-varying delay

Based on the delay-independent rule, the problem of optimal guaranteed cost control for a class of Takagi-Sugeno （T-S） fuzzy descriptor systems with time-varying delay is studied. A linear quadratic cost function is considered as the performance index of the closed-loop system. Sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities （LMIs）, and the design of an optimal guaranteed cost controller can be reduced to a convex optimization problem. It is shown that the designed controller not only guarantees the asymptotic stability of the closed-loop fuzzy descriptor delay system, but also provides an optimized upper bound of the guaranteed cost. At last, a numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.

Robust H_∞ control for fuzzy descriptor systems with state delay

The problem of robust H ∞ fuzzy state feedback control for uncertain fuzzy descriptor systems with state delay is solved. In the case that time-varying uncertainties are in all parameter matrices, sufficient conditions for the existence of fuzzy state feedback controller are presented in terms of linear matrix inequality (LMI). The proposed robust H ∞ control laws guarantee that the resulting closed-loop system is regular, impulse free, and stable with prescribed H ∞ norm bounded constraint for all admissible uncertainties. Finally, a numerical example is provided to demonstrate the validity of the proposed method.

Decoupled Wiener state fuser for descriptor systems

By the modem time series analysis method, based on the autoregressive moving average （ARMA） innovation models and white noise estimation theory, using the optimal fusion rule weighted by diagonal matrices, a distributed descriptor Wiener state fuser is presented by weighting the local Wiener state estimators for the linear discrete stochastic descriptor systems with multisensor. It realizes a decoupled fusion estimation for state components. In order to compute the optimal weights, the formulas of computing the cross-covariances among local estimation errors are presented based on cross-covariances among the local innovation processes, input white noise, and measurement white noises. It can handle the fused filtering, smoothing, and prediction problems in a unified framework. Its accuracy is higher than that of each local estimator. A Monte Carlo simulation example shows its effectiveness and correctness.

Sensor Fault Diagnosis Observer Design for Linear Sampled-Data Descriptor System with Time-Vary Delay

In this paper, a robust sensor fault diagnosis observer with non-singular structure is proposed for a class of linear sampled-data descriptor system with state time-vary delay. Firstly, a sampled-data descriptor model with time-vary delay is proposed and transformed into a discrete-time non-singular one. Then, a robust sensor fault diagnosis observer is proposed based on the state estimation error and the measurement residual, this observer can guarantee the robustness of the residual against the augmented disturbance and the sensor fault, which means the H∞ performance index is satisfied. As the confining matrix of the designed observer parameters does not meet the Linear Matrix Inequality (LMI), a cone complementary linearization (CCL) algorithm is proposed to solve this problem. The decision logic of the residual is obtained by the residual evaluation function. Simulation results show the effectiveness of the method.

H-infinity output feedback control for descriptor systems with delayed states

This paper considers the H-infinity dynamic output feedback control for descriptor systems with delay in states. The controller is a descriptor system without delay. Several equivalent sufficient conditions for the existence of one descriptor dynamic controller without impulsive models are given. Furthermore the explicit expression of the desired controller is obtained. The detailed design of the controller is presented using the cone complementarity linearization iterative algorithm and the LMI method. A ntumerical example is shown to illustrate the designed method.

Stability of Switched Positive Descriptor Systems with Average Dwell Time Switching

In this paper, the problems of stability for a class of switched positive descriptor systems(SPDSs)with average dwell time(ADT) switching are investigated. First, based on the equivalent switched system and the properties of the projector matrix, sufficient stabilities are given for the underlying systems in both continuoustime and discrete-time contexts. Then, a sufficient stability condition for the SPDS with both stable and unstable subsystems is obtained. The stability results for the SPDSs are represented in terms of a set of linear programmings(LPs) by the multiple linear co-positive Lyapunov function(MLCLF) approach. Finally, three numerical examples are given to illustrate the effectiveness of the obtained theoretical results.

基于优化神经网络的自适应有限时间卫星ACSs故障估计

针对卫星姿态控制系统(ACSs)在复杂工况下的执行器、传感器并发故障估计问题,设计了一种基于优化超基函数神经网络的自适应有限时间故障估计观测器。首先,视执行器和传感器故障为系统的附加状态变量,建立时滞广义系统。其次,利用Levy飞行分布改进矮猫鼬优化算法,优化了超基函数神经网络。设计了自适应有限时间观测器,并分析了误差动态和残差对运行噪声的有限时间有界性和鲁棒性,将观测器设计问题转化为线性矩阵不等式问题。最后,进行了仿真验证分析,仿真结果表明:相较于基于传统矮猫鼬优化-超基函数神经网络的自适应有限时间观测器,所提方法对于不确定性和外部扰动的联合估计误差降低了13.0%,状态估计误差平均降低了11.3%,并发故障估计误差平均降低了3.2%,验证了所提方法的有效性。

基于降维状态观测器的网络化广义系统状态反馈控制器设计

针对具有时延和数据包丢失的网络化广义系统,设计了n-l维状态观测器。在此基础上,基于Lyapunov稳定性定理设计了状态反馈控制器,应用线性矩阵不等式(linear matrix inequality,LMI)工具箱得到了控制器参数的求解方法,使得系统经状态反馈后是正则、稳定、无脉冲。最后的数值算例验证了本文方法的有效性和正确性。

离散广义系统具有完整性的鲁棒二次稳定

研究时不变不确定离散广义系统具有完整性的鲁棒二次稳定问题.首先,给出不确定离散广义系统鲁棒二次稳定的充要条件.其次,利用广义代数R iccati不等式,设计状态反馈使得不确定离散广义系统鲁棒二次稳定.进一步,给出状态反馈设计方法,使得不确定离散闭环广义系统在执行器正常以及部分出现故障情况下,都保持鲁棒二次稳定.即不确定广义系统具有完整性.同时,还讨论了所给的广义代数R iccati不等式的求解问题.最后给出数字例子来验证所给结果的有效性.

基于广义系统的网络控制系统的分析与建模

对具有分布时延、动态输出反馈控制器且被控对象为广义系统的多输入多输出网络控制系统,在传感器和控制器时钟驱动、异步采样,执行器事件驱动情况下的运行特性进行了分析·在分析的基础上建立了正则、无脉冲广义系统对象的多输入多输出网络控制系统数学模型·通过电力系统中一个呈现广义系统模型的控制实例,说明了建模方法的有效性·为被控对象呈现广义系统模型的网络控制系统的性能分析和设计给出了有益的尝试·

一种统一的Wiener状态估值器

用现代时间序列分析方法提出了一种统一的Ｗｉｅｎｅｒ状态估值器．它既可统一处理广义系统和非广义系统的状态估计问题，又可统一处理稳态最优滤波、平滑和预报问题，而且可避免解Ｄｉｏｐｈａｎｔｉｎｅ方程和Ｒｉｃｃａｔｉ方程．

广义线性系统的鲁棒稳定性分析与综合

研究广义线性系统的鲁棒稳定性分析与综合问题．基于广义线性系统的Lyapunov方程和Riccati方程，给出了相关的鲁棒稳定性分析与综合方法．

线性不确定广义时滞系统的鲁棒无源滤波器设计

研究一类线性不确定广义时滞系统的鲁棒无源滤波器设计问题.系统中所含的不确定性假设是未知且范数有界的.利用线性矩阵不等式方法和Lyapunov函数方法相结合,给出了广义滤波增广系统时滞独立的鲁棒无源滤波器的存在条件.设计目标是对所有的不确定性,滤波增广系统是正则、稳定、无脉冲的,且满足所提的无源滤波性能指标.所提的滤波器设计问题可转化为标准的线性矩阵不等式的求解问题,并可推广到多时滞情况.数值例子验证了设计方法的可行性.

T-S模糊广义系统研究综述

对目前T-S模糊广义系统的研究成果加以总结.主要讨论了T-S模糊广义系统的分析、综合与应用的问题,并对这一研究领域仍需解决的问题和未来的发展方向作了进一步的展望.

广义系统ARMA最优递推状态估值器

应用现代时间序列分析方法 ,基于 ARMA新息模型和白噪声估值器 ,由非递推状态估值器的递推变形 ,提出了广义系统的 ARMA稳态最优递推状态估值器 .它们具有Wiener滤波器形式 ,可处理带奇异状态转移阵和 /或带相关噪声的广义系统 ,可统一处理滤波、平滑和预报问题 ,且可统一处理广义和非广义系统状态估计问题 .仿真例子说明了其有效性 .