Robust H_∞ Control with Exponent Stability for Time-Delay Uncertain Systems

1 .ＩＮＴＲＯＤＵＣＴＩＯＮＩｔｉｓｗｅｌｌ ｋｎｏｗｎｔｈａｔｔｈｅｓｔａｂｉｌｉｚａｔｉｏｎｏｆｔｈｅｓｙｓｔｅｍｓｗｉｔｈｔｉｍｅｄｅｌａｙｓｉｎｄｉｆｆｅｒｅｎｔｓｔａｔｅｓｉｓａｔｏｕｇｈｐｒｏｂｌｅｍｂｅ ｃａｕｓｅｔｈｅｔｉｍｅｄｅｌａｙｓｉｎａｓｙｓｔｅｍｍａｙｉｎｄｕｃｅａｎｉｎｓｔａｂｉｌｉｔｙｏｆｔｈｅｐｅｒｆｏｒｍａｎｃｅｓｏｆｔｈｅｃｌｏｓｅｄ ｌｏｏｐｓｃｈｅｍｅｓ.Ｔｈｅｒｅｆｏｒｅ,ｔｈｅｓｕｂｊｅｃｔｏｆｓｔａｂｉｌｉｔｙａｎｄｃｏｎｔｒｏｌｆｏｒｔｉｍｅ ｄｅｌａｙ…     

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

1 ＩＮＴＲＯＤＵＣＴＩＯＮＭａｒｋｏｖｉａｎｊｕｍｐｓｙｓｔｅｍｓａｒｅｄｅｆｉｎｅｄａｓａｆａｍｉｌｙｏｆｌｉｎｅａｒｓｙｓｔｅｍｓｗｉｔｈＭａｒｋｏｖｉａｎｊｕｍｐｐａｒａｍｅｔｅｒｓ.Ｔｈｉｓｃｌａｓｓｏｆｓｙｓｔｅｍｓ,ｗｈｉｃｈｗｅｒｅｉｎｉｔｉａｌｌｙｉｎｔｒｏｄｕｃｅｄｂｙＫｒａｓｏｒｋｉｉａｎｄＬｉｄｓｋｉｉｉｎｒｅｆｅｒｅｎｃｅ [1 ],ａｒｅａｌｗａｙｓｕｓｅｄｔｏｍｏｄｅｌｔｈｅｐｌａｎｔｓｗｈｏｓｅｓｔｒｕｃｔｕｒｅｉｓｓｕｂｊｅｃｔｔｏｒａｎｄｏｍｌｙａｂｒｕｐｔｃｈａｎｇｅ…     

Robust H∞ control for networked control systems

The robust H∞ control for networked control systems with both stochastic network-induced delay and data packet dropout is studied.When data are transmitted over network,the stochastic data packet dropout process can be described by a two-state Markov chain.The networked control systems with stochastic network-induced delay and data packet dropout are modeled as a discrete time Markov jump linear system with two operation modes.The sufficient condition of robust H∞ control for networked control systems stabilized by state feedback controller is presented in terms of linear matrix inequality.The state feedback controller can be constructed via the solution of a set of linear matrix inequalities.An example is given to verify the effectiveness of the method proposed.     

Robust H∞ controller design for sampled-data systems with parametric uncertainties

This article investigates the problem of robust H∞ controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrices. Attention is focused on the design of a causal sampled-data controller, which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed H∞ performance bound for all admissible uncertainties. Sufficient condition for the solvability of the problem is established in terms of linear matrix inequalities (LMIs). It is shown that the desired H∞ controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method.     

H_∞ Control of a 5th- order Model of Synchronous Generators

1　IntroductionThe control of synchronous generators is one of the most important and widely studiedproblem in the area of power systems control.Such a problem is a non-trivial one,mainlybecause of the highly nonlinear behaviour of synchronous machines.As a matter of fact,their dynamic dramatically changes when passing from a working condition to another.Asa consequence,standard PID-based controllers can not guarantee high performances overthe entire working range.Among the various control a…     

The Robust H∞ Control of a Stochastic Inventory—Production System

1　 Introduction DealsMost inventory- production models assume that the demands are influenced by randomlyfluctuating environment.Under the assumption of probability distribution being known,many researches on inventory optimization and control problem ha…     

Macro-economic Model and Its H_∞ Control Strategies for Liaoning Province

1　ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒａｂｌｅｒｅｓｅａｒｃｈｅｓｈａｖｅｂｅｅｎｍａｄｅｏｎｍａｃｒｏｅｃｏｎｏｍｉｃｍｏｄｅｌｓｔｉｌｌｎｏｗ .Ｐｏｌｉｃｙｍａｋｅｒｓｕｓｕ ａｌｌｙｐｒｅｄｉｃｔａｎｄａｎａｌｙｚｅｅｃｏｎｏｍｉｃｓｉｔｕａｔｉｏｎ ,ｍａｋｅｅｃｏｎｏｍｉｃｄｅｃｉｓｉｏｎｓｂａｓｅｄｏｎｔｈｅｓｅｍｏｄｅｌｓ[1] .Ｔｅｃｈｎｉｑｕｅｓｕｓｅｄｉｎｄｅｃｉｓｉｏｎｐｒｏｂｌｅｍａｎｄｒｉｓｋｍａｎａｇｅｍｅｎｔｕｓｕａｌｌｙａｒｅｏｐｔｉｍａｌｒｅｇｕｌａｔｏｒｔｈｅ…     

Fault-tolerant control of linear uncertain systems using H∞ robust predictive control

The robust fault-tolerant control problem of linear uncertain systems is studied. It is shown that a solution for this problem can be obtained from a H∞ robust predictive controller (RMPC) by the method of linear matrix inequality (LMI). This approach has the advantages of both H∞ control and MPC: the robustness and ability to handle constraints explicitly. The robust closed-loop stability of the linear uncertain system with input and output constraints is proven under an actuator and sensor faults condition. Finally, satisfactory results of simulation experiments verify the validity of this algorithm.     

Robust H_∞ reliable control for uncertain singular systems with state delay

1 .INTRODUCTIONSingular systems have comprehensive practical back-ground,a great deal of results based on the theory ofregular systems have beenextendedtothe area of sin-gular systems[1 ,2]. However , in practical applica-tions ,since faults of control components often occur ,ani mportant reliability requirement for the design ofreliable systems is to guarantee the stability and basicperformance of the plant by a single controller whichcan tolerate sensor and actuator faults . Such the so-…     

Delay-dependent robust H∞ control of convex polyhedral uncertain fuzzy systems

The robust H∞ control problem for a class of uncertain Takagi-Sugeno fuzzy systems with time-varying state delays is studied. The uncertain parameters are supposed to reside in a polytope. Based on the delay-dependent Lyapunov functional method, a new delay-dependent robust H∞ fuzzy controller, which depends on the size of the delays and the derivative of the delays, is presented in term of linear matrix inequalities (LMIs). For all admissible uncertainties and delays, the controller guarantees not only the asymptotic stability of the system but also the prescribed H∞ attenuation level. In addition, the effectiveness of the proposed design method is demonstrated by a numerical example.     

Robust H_∞ control for uncertain descriptor systems with state and control delay

1 .INTRODUCTIONTi me delayis commonly encounteredin various en-gineering systems ,which often occursinthe trans-mission of information or material between differ-ent parts of a systemand is frequently a source ofinstability and poor performance[1]. Transporta-tion systems , communications systems , chemicalprocess , power systems are typical examples ofti me-delay systems . In the recent years , muchwork has been devoted to the analysis and synthe-sis of controller for state-delayed system…     

A Family of Reliable H_∞ State-Feedback Controllers for Nonlinear Systems with Strictly Redundant Actuators: the Full Information Case

1　 IntroductionInherited from state space linear H∞ control theory,a number of nonlinear H∞ solutionshave been presented in terms of various formulations.The nonlinear H∞ control problemcan be stated as follows:find a compensator,either state feedback ormore general outputfeedback such that( 1 ) the internal state of the closed-loop system is stable and( 2 ) the L2 -gain of the mapping from the exogenous input disturbance to the controlled output liketracking error or cost variables is mi…     

Robust H_∞ Control of Switched Nonlinear Systems Under Sampled Data

This paper investigates the globally asymptotically stable and L₂-gain of robust H∞ control for switched nonlinear systems under sampled data. By considering the relationship between the sampling period and the dwell time, the non-switching and one switching are discussed in the sampling interval, respectively. Firstly, a state feedback sampled-data controller is constructed by the back-stepping method, and the switching converts to asynchronous switching if it happens within the samp...     

H_∞ control for stochastic systems with time-delay

1.INTRODUCTION Physicalplantsareunavoidabletobeaffectedbydis turbance,time delayanduncertainty,whichmay makesomeunwantedinfluenceonthesystem’sper formanceandevenresultininstability.Howtoavoid andcounteractsuchdisadvantagesthroughfeedback designhasbeenaresearchtopicunderintensiveinves tigationrecently[1～7].Inpractice,twokindsofdisturbancesareoften encountered:stochastic(orrandom)disturbanceand deterministicdisturbance.Forthestochasticdistur bance,systemsunderconsiderationaremodeledand st…     

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.     

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.     

Sliding mode H_∞ control for a class of uncertain nonlinear state-delayed systems

1 .INTRODUCTIONSince ti me delays and uncertainties are frequentlyencounteredin practical engineering,and often re-sult in poor performance or even systeminstabili-ty , much work has been done for the analysis andsynthesis of uncertain ti me-delay systems[1 ~5 ,7 ,8].The sliding mode control (SMC) is regarded as oneof the best approaches for the robust stabilizationof uncertain ti me-delay systems ,because it exhib-its the sliding mode which has anintrinsic propertyof adaptiveness for the…     

扑翼微型飞行器非线性H∞姿态控制

给出了扑翼微型飞行器姿态控制系统的数学模型,并提出了一种新颖的非线性H∞控制方法。飞行过程的复杂性使得姿态控制极具挑战性,主要困难是系统表现为非线性、时变参数以及各种干扰。为此提出了一种全局非线性H∞控制策略,系统控制综合是基于李亚普诺夫理论而非求解HJI偏微分方程。该方法克服了时变参数及未知干扰对系统的影响。证明了控制器的全局渐进稳定性并将其用于扑翼微型飞行器非线性H∞姿态控制系统的仿真,仿真结果验证了所提方法的有效性。     

New algorithm for robust H_2/H_∞ filtering with error variance assignment

1 .INTRODUCTIONThedevelopmentofefficientlinearestimationalgo rithmshasbeenbasedinthepastmainlyonthemini mizationoftheL2 normofthecorrespondingestima tionerror .Thistypeofestimationassumesthatthemessagegeneratingprocesshasaknownstatisticalproperty .Unfort…     

基于参数化LMI的随机模糊系统H_∞控制

应用参数化线性矩阵不等式(PLMI)设计方法,推导了随机T-S模糊控制系统状态反馈H∞控制器存在的充分条件.利用非线性随机系统的Lyapunov稳定性理论,导出了PLMI成立的若干线性矩阵不等式(LMI)条件.最后通过数值例子说明了这种方法的有效性.