Design of Luenberger function observer with disturbance decoupling for matrix second-order linear systems-a parametric approach

1.INTRODUCTIONThere have been many approaches to disturbance de-couplinginlinear multivariable control systemdesign.Linnemann[1]proposed a numerically stable algorithmfor disturbance decoupling by measurement feedback.Van Der Woude[2]considered the combined problemof disturbance decoupling and stabilization by mea-surement feedback.Syrmos[3]proposed a numericallyefficient algorithm based on Sylvester equations forthe problemof disturbance decoupling with arbitrarypole placement usingstat…     

基于广义预测的非线性解耦PID控制

针对一类非线性多变量离散时间动态系统,提出了基于神经网络的非线性多变量PID解耦控制方法。该控制器是由常规PID控制器与解耦补偿器、未建模动态前馈补偿器组成,而PID参数的整定是通过广义预测的方法实现的。同时给出了该控制方法的闭环系统的稳定性和收敛性分析。最后通过仿真实例验证了所提方法的有效性和可行性。     

网络环境下的不确定非线性系统远程智能控制

针对一类网络环境下的不确定非线性动态系统,提出了一种基于神经网络非线性补偿和线性反馈控制相结合的智能远程控制方法。该方法通过构造神经网络在线估计器学习局部子系统的非线性特性,从而将局部子系统线性化,神经网络权重的在线学习没有持续激励的要求,且可保证闭环误差系统一致最终有界稳定。最后对线性化的闭环时延控制系统,远程控制器采用基于李亚普诺夫(Lyapunov)稳定性理论的线性状态反馈控制,从而保证了整个闭环网络控制系统的稳定性。     

Admissibility analysis and control synthesis for switched linear singular systems

The problem of admissibility analysis and control synthesis of discrete-time switched linear singular (SLS) systems for arbitrary switching laws is solved. By using the switched Lyapunov function approach, some new sufficient conditions under which the SLS system is admissible for arbitrary switching laws are derived in terms of linear matrix inequalities (LMIs). Based on the admissibility results, control synthesis is then to design switched state feedback and static output feedback controllers, guaranteeing that the resulting closed-loop system is admissible. The presented results can be viewed as the extensions of previous works on switched Lyapunov function approach from the regular switched systems to singular switched cases. Examples are provided to demonstrate the reduced conservatism and effectiveness of the proposed conditions.     

Non-fragile decentralized H∞ controller design for uncertain linear systems

Considering the design problem of non-fragile decentralized H∞ controller with gain variations, the dynamic feedback controller by measurement feedback for uncertain linear systems is constructed and studied. The parameter uncertainties are considered to be unknown but norm bounded. The design procedures are investigated in terms of positive definite solutions to modify algebraic Riccati inequalities. Using information exchange among local controllers, the designed non-fragile decentralized H∞ controllers guarantee that the uncertain closed-loop linear systems are stable and with H∞ -norm bound on disturbance attenuation. A sufficient condition that there are such non-fragile H∞ controllers is obtained by algebraic Riccati inequalities. The approaches to solve modified algebraic Riccati inequalities are carried out preliminarily. Finally, a numerical example to show the validity of the proposed approach is given.     

Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty

The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality (LMI) via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach.     

不确定时滞系统的区间时滞相关鲁棒镇定

研究了时间滞后满足区间变化的线性连续系统鲁棒镇定问题。采用Lyapunov-Krasovskii稳定性分析方法,给出了区间时滞依赖系统的状态反馈设计稳定解。进一步研究参数化不确定性情况下,区间时滞依赖系统的鲁棒稳定性判据和鲁棒状态反馈控制器设计方法。最后,通过仿真算例比较,验证了此方法的有效性。     

New Results on H∞ Control for Nonlinear Conformable Fractional Order Systems

This paper deals with H_∞ control problem for nonlinear conformable fractional order systems. The authors first derive new sufficient condition for exponential stability of nonlinear conformable fractional order systems based on Lyapunov-like function method for conformable fractional order systems and linear matrix inequalities(LMIs) approach. Then, by introducing a new concepts of H_∞ control problem for nonlinear conformable fractional order systems, the authors study H_∞ performance analysis and H_∞ state feedback controller design problems for the considered systems. In terms of LMIs, a sufficient condition is proposed to ensure the nonlinear conformable fractional order systems are not only exponentially stable, but also satisfy H_∞ performance γ. An explicit expression for state feedback controllers is also designed to make the closed-loop system is exponentially stable with H_∞performance γ. Finally, numerical examples are given to illustrate the validity and effectiveness of the proposed results.     

无线网络控制系统建模与鲁棒控制分析

针对无线网络控制系统(wireless networked control system,WINCS)中长网络诱导时延对系统稳定性的影响,通过将不确定时延等效为系统参数的不确定性,建立了长时延WINCS的参数不确定离散时间系统模型。在该模型基础上,利用Lyapunov函数方法,获得闭环WINCS渐近稳定的充分条件。通过线性矩阵不等式形式,给出了WINCS状态反馈控制器的参数化设计方法。最后通过数值仿真验证了建模与控制方法的有效性。     

Observer design for matrix second order linear systems with uncertain disturbance input-a parametric approach

1. INTRODUCTION Matrix second-order linear (MSOL) systems capture the dynamic behavior of many natural phenomena and have wide applications in several fields, such as vibration and structural analysis, spacecraft control and robotics control thus, they have attracted consider- able attention[1~10]. In Ref. [3], the controllability and observability theory of MSOL systems was studied directly in the matrix second-order framework. One type of observers for MSOL systems was proposed in …     

Robust attitude control of a 3DOF helicopter with multi-operation points

A 3DOF (three degrees of freedom) helicopter attitude control system with multi-operation points is described as a MIMO time-varying uncertain nonlinear system with unknown constant parameters, bounded disturbance and nonlinear uncertainty, and a robust output feedback control method based on signal compensation is proposed. A controller designed by this method consists of a nominal controller and a robust compensator. The controller is linear time-invariant and can be realized easily. Robust attitude tracking property of closed-loop system is proven and experimental results show that the designed control system can guarantee high precision robust attitude control under multi-operation points. This research is supported by the National Natural Science Foundation of China under Grant Nos. 60674017 and 60736024.     

Delta算子系统基于输出反馈的鲁棒协方差控制

研究Delta算子描述的线性不确定系统基于输出反馈的鲁棒协方差控制问题,即设计输出反馈控制器,使Delta算子不确定系统鲁棒稳定,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Delta算子不确定系统输出反馈鲁棒协方差控制器存在的充分条件,并在此基础上,提出Delta算子不确定系统输出反馈鲁棒协方差控制器设计算法。数值算例表明设计方法的可行性。     

THE POLE ASSIGNMENT OF LINEAR SYSTEMS

In this paper the pole assignment problem of a time invariant linear control system issolved by using the Wu Elimination Method.In general,the questions are classified into(i)the poleassignment by using state feedback,(ii)the pole assignment by using output feedback,(iii)the poleassignment via dynamic compensator.The key point of all these problems is to solve a certaincorresponding system of polynomial equations.Based on algebraic geometry,the Wu methodprovides a mechanical algorithm for solving the system of polynomial equations.Therefore,a unifieddefinite algorithm for solving all these problems is given in this paper.During the procedure ofelimination,the unknowns are automatically separated into parameters and apparent variables.Thus,the freedom of the corresponding feedback can be defined as the number of parameters.Meanwhile,the explicit expressions of the apparent variables depending on the parameters areobtained.     

Guaranteed cost control with constructing switching law of uncertain discrete-time switched systems

A guaranteed cost control problem for a class of linear discrete-time switched systems with norm-bounded uncertainties is considered in this article. The purpose is to construct a switching rule and design a state feedback control law, such that, the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties under the constructed switching rule. A sufficient condition for the existence of guaranteed cost controllers and switching rules is derived based on the Lyapunov theory together with the linear matrix inequality (LMI) approach. Furthermore, a convex optimization problem with LMI constraints is formulated to select the suboptimal guaranteed cost controller. A numerical example demonstrates the validity of the proposed design approach.     

基于鲁棒最优方法的无人机动态投影控制

以某型大展弦比无人机为研究对象,设计了基于鲁棒最优理论和动态投影方法的补偿控制器。首先采用鲁棒伺服线性二次型调节器方法,通过全状态反馈构建满足最优性能指标的参考系统,然后采用输出反馈和动态补偿器替代全状态反馈,重构出具备参考系统全部最优特征结构的动态投影控制系统。重点阐述了通过动态投影控制方法进行系统极点配置的具体步骤,并分析了动态补偿器的自由矩阵参数对系统稳定性的影响。仿真结果表明,与常规比例-积分-微分控制方法相比,所设计的动态投影控制系统具有更强的稳定性与更好的瞬态响应特性。     

Non-fragile decentralized H∞ controller design for uncertain linear systems

Considering the design problem of non-fragile decentralized H∞ controller with gain variations, the dynamic feedback controller by measurement feedback for uncertain linear systems is constructed and studied. The parameter uncertainties are considered to be unknown but norm bounded. The design procedures are investigated in terms of positive definite solutions to modify algebraic Riccati inequalities. Using information exchange among local controllers, the designed non-fragile decentralized H∞ controllers guarantee that the uncertain closed-loop linear systems are stable and with H∞ -norm bound on disturbance attenuation. A sufficient condition that there are such non-fragile H∞ controllers is obtained by algebraic Riccati inequalities. The approaches to solve modified algebraic Riccati inequalities are carried out preliminarily. Finally, a numerical example to show the validity of the proposed approach is given.     

一类不确定离散切换广义系统的一致有限时间稳定准则

利用Lyapunov like函数方法和线性矩阵不等式（linear matrix inequality, LMI）技术研究了一类不确定离散时间切换广义系统的一致有限时间稳定和状态反馈镇定问题。首先,在任意给定的切换规则且假定不确定参数项范数有界的情况下,给出了保证不确定离散切换广义系统一致有限时间有界和有限时间稳定的充分条件和状态反馈控制器的设计方法,然后利用Matlab中的LMI工具箱对建立的LMI问题进行求解。最后的仿真算例验证了所提方法的有效性。     

Robust H_∞ Control for Uncertain Markovian Jump Linear Time-Delay Systems

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基于线性弥散空时码的有限反馈干扰对齐算法

干扰对齐(interference alignment,IA)作为极具潜力的干扰管理策略,能获得与用户数量成线性关系的自由度增益,但因其需要全局实时信道状态信息(channel state information,CSI)才能有效实现,使得IA理论向实用的转化将面临众多挑战。针对该问题,本文基于多小区蜂窝系统,提出了一种基于线性弥散空时码的有限反馈干扰对齐算法,该算法将预编码和线性弥散空时码编码进行级联,在只需反馈单个用户CSI的条件下,通过合理地设计预编码矩阵、线性弥散空时码块以及接收端的接收矩阵,来实现干扰的完全消除。仿真结果表明,相比已有研究,新IA算法在实现干扰完全消除的情况下,能够极大地降低系统CSI反馈开销。     

Robust H∞ output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions

The H∞ output feedback control problem for uncertain discrete-time switched systems is reasearched. A new characterization of stability and H∞ performance for the switched system under arbitrary switching is obtained by using switched Lyapunov function.Then,based on the characterization,a linear matrix inequality (LMI)approach is developed to design a switched output feedback controller which guarantees the stability and H∞ performance of the closed-loop system.A numerical example is presented to demonstrate the application of the proposed method.