DISTURBANCE REJECTION AND TRACKING DESIGN VIA THE SSR APPROACH FOR SECOND ORDER UNCERTAIN SYSTEMS

1.IntroductionUncertainsystemscontrolisaproblemthathasreceivedcloseattentioninthecontroltheoryandistobeurgentlysolvedinengineeringapplications.Inrecent30years,lotsofmethodssuchastheadaptivecontrol,thevariablestructllrecontrol,theintelligentcontrolandtherobustcontrolhavebeensuggestedtotreatthisproblem.Onthebasisoftheideaofdesigningsystemsbynonlinearapproaches,[l--4]haveproposedanewsynthesismethodforuncertainsystems,"theSelf-StableRegion(SSR)approach".In[1],aninherentpropertyforsomesecondorde…     

DISTURBANCE ATTENUATION VIA STATE-FEEDBACK CONTROLLERS

1.IntroductionandPreliminaryKnowledgeAcommonproblemmetinthedesignofacontrolsystemistheexternaldisturbancesuchaswhitenoiseorotherkindofunwelcomevariables.Thus,weneedsomedesignmethodstoreducetheeffectofdisturbancetoanacceptablelevel.WeknowthatHOOoptindzationisanefficienttechniquetodothisjob,andmanypapershaveappearedonthistopic,see[1,2].momthesepapers,weknowthatiftheplatstatesareavailableforfeedbaCk,andthereisnodirecttransmissionfromthedisturbanceandcolltrolinputtothecolltrolledoutput,thentheno…     

A SYNTHESIS METHOD FOR TWO-ORDER UNCERTAIN SYSTEMS: AUTO-STABLE REGIONAPPROACH

1.IntroductionInrecentyears,thesynthesisproblemforuncertainsystemshasbeendeeplystudied.ManymethodssuchasLyapunov,thevariablestructurecontrol,theadaptivecontrolandtherobustcontrolmethodshavebeenproposed[IMS].Sincetheadaptivecontrolandtherobustcontrolmethod…     

WU-RITT''''S METHOD FOR NONLINEAR CONTROL SYSTEMS

ＷＵ－ＲＩＴＴ＇ＳＭＥＴＨＯＤＦＯＲＮＯＮＬＩＮＥＡＲＣＯＮＴＲＯＬＳＹＳＴＥＭＳ￥ＬＩＳｈｕｒｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｔｈｉ...     

STABILIZATION OF NONLINEAR SYSTEMS WITH HOMOGENEOUS STABILITY

1.IntroductionTheconceptsofrelativedegreeandzerodynamicshavebeenproposedbyByrnes,Isidoriandotherstotreatlocalfeedbackstabilizationproblemofnonlinearcolltrolsystems.Oneofthekeypointsforthismethodistousecelltermanifoldtheory.[1]wasoneoftheearliestworksusingcentermanifoldtechniqueinthisarea.Firstofall,wewilldescribethecentermanifoldmethodthroughanexampletoshowhowthecentermanifoldmethodcanbeusedtosolvethestabilizationproblem.Forconvenience,wecitesomebasicresultsfrom[2].Theorem1.1Considerasystemw…     

THE IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR NONLINEAR ELLIPTIC SYSTEMS OF SECOND ORDER

1.TheirregularObliqueDerivativeProblemanditsWell-PosednessforNonlinearEllipticSystemsLabDbean(N 1)-connectedboundeddomaininthez=x ic-planeCwithboundaryFECI(0相似文献   

NONLINEAR GALERKIN METHOD FOR STEADYNONLINEAR DIFFERENTIAL EQUATIONS

1.IntroductionNonlinearGalerkinmethodsarenumericalschemesforthedissipativeevolutionpartialdifferelltialequationswherethespatialdiscretizationreliesonanonlinearmanifoldinsteadofalinearspaceasintheclassicalGalerkinmethod.Moreprecisely,oneconsidersafinitedim…     

ON LIMITATIONS OF THE SAMPLED—DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS

In this paper, we study a basic class of first order sampled-data control systems with unknown nonlinear structure and with sampling rate not necessarily fast enough, aiming at understanding the capability and limitations of the sampled-data feedback. We show that if the unknown nonlinear function has a linear growth rate with its "slope" (denoted by L) being a measure of the "size" of uncertainty, then the sampling rate should not exceed 1/L multiplied by a constant (≈ 7.53) for the system to be globally stabilizable by the sampled-data feedback. If, however, the unknown nonlinear function has a growth rate faster than linear, and if the system is disturbed by noises modeled as the standard Brownian motion, then an example is given, showing that the corresponding sampled-data system is not stabilizable by the sampled-data feedback in general, no matter how fast the sampling rate is.     

MINIMAL INVERSION AND ITS ALGORITHMS OF DISCRETE-TIME NONLINEAR SYSTEMS

The left-inverse system with minimal order and its algorithms of discrete-time nonlinear systems are studied in a linear algebraic framework. The general structure of left-inverse system is described and computed in symbolic algorithm. Two algorithms are given for constructing left-inverse systems with minimal order.     

协整系统的贝叶斯推断

讨论协整系统的检验问题．提出一种基于协整系统误差校正模型的贝叶斯协整检测方法，并通过模拟实验说明贝叶斯方法的有效性．     

THE DIRICHLET PROBLEM AND NEUMANN PROBLEM FOR NONLINEAR PARABOLIC SYSTEMS OF SECOND ORDER EQUATIONS WITH MEASURABLE COEFFICIENTS IN A HIGHER DIMENSIONAL DOMAIN

1 Formulation of Dirichlet Problem and Neumann Problem fOrParabolic SystemsLet O be a bounded domain in Rn and the boundary On E C2. Denote Q = g x I,I =0 < t 5 T, 0 < T < ool 0Q = Sl U S2 is the parabolic boundary where S1 = a x {t = 0} is thebottom and S2 = an x I is the lateral boundary. We consider the nonlinear parabolic systemof second order equationsFh(t, xl ut D.u, D:u) -- Hukt = 0 in Q, k = 1, 2,'',m. (l.l)Under certain conditions, system (1.1) can be reduced to the fOrmw…     

NON-CLASSICAL GENERALIZED SOLUTIONS FOR SOME HYPERBOLIC SYSTEMS

1.IntroductionThemostspecialfeatureofconservationlawsofhyperbolicsystemsisthattheirsolutionsalwayshavediscolltinuities.ThiskindofdiscontinuityrepresentstheshoCkwavephenomena.Sopeopleintroducetheideaofgeneralizedsolutionwhichsatisfiesequationsinthesenseofdistribution.Underthisdefinition,alotofachievementshavebeenobtainedsince1950'sinthisfield.However,inrecelltyears,manyauthors(see[l--6])discoveredthatthereisnoexistenceanduniqllenessofsolutionstoRiemannproblemsforsomeconservationlaws.Bynumeric…     

混合系统的混合Petri网描述

混合Ｐｅｔｒｉ网可很好地描述由连续动态和离散动态相互混合相互作用而成的混合系统．本文重点讨论了用混合Ｐｅｔｒｉ网工具描述混合系统的方法,并对混合系统的运行协调性和最优控制问题进行了初步探讨．     

多类对象非线性流水线的无冲突调度规划

本文提出一种为多类型对象服务的非线性流水系统的调度规划方法。该方法给出冲突矩阵表示对象流入流水线的限制，通过启发式搜索寻找面向目标优化的调度策略。获得的调度策略能满足服务过程无冲突无阻塞的要求。     

ROBUST STABILITY WITH GUARANTEEING COST FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR PERTURBATION

The problems of robust stability and robust stability with a guaranteeing cost for discrete time-delay systems with nonlinear perturbation are discussed. A sufficient criterion for robust stability is established in an LMI framework and a linear convex optimization problem with LMI constraints for computing maximal perturbation bound is proposed. Meanwhile, a sufficient criterion for robust stability with a guaranteeing cost for such systems is obtained, and an optimal procedure for decreasing the value of guaranteeing cost is put forward. Two examples are used to illustrate the efficiency of the results.     

A CLASS OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL SYSTEMS

Considerthesingularlyperturbednonlinearproblemfory=(y1,…,yn)oftheformwhereεisasmallpositiveparameter,f=(f1,…,fn),g=(g1,…gn),fi(x,y')≡fi(x,y'1,…,y'n),gi(x,y')≡gi(x,y'1,…,y'n),A=(A1,…,An),B=(B1,…,Bn).ManyauthorssuchasHowes[1],O'DonnelllZ],Lin[3],Mo[4--7]andothershavediscussedthisproblemundervarioussituationsusingthemethodofdifferentialinequalities.Thispaperconcernsaclassofboundaryvalueproblemsfornonlineardifferentialsystemsusingtheiterationmethodandthetheoryofdifferentialinequaliti…     

从空间机器人的研究和应用谈谈工程系统工程

由于空间环境使空间机器人具有一些地面机器人所没有的特点,研制各种空间应用机器人,不断推进空间科学技术的发展,是一个复杂的人-机-环境系统工程。本文应用系统工程的观点,初步分析了空间机器人系统,包括机器人学科层次体系,空间环境一般特点与空间机器人,人-机-环境系统,工程系统工程一般方法论,以及空间机器人系统工程步骤。     

大型非线性系统的试验选优方法

本文提出了大型非线性系统的试验选优方法，其同现行的大系统优化方法相比，优化工作量小、优化范围广，在某种意义上，传统的大系统“分解聚合”方法为该方法的一个特例——全面试验选优方法．     

EXISTENCE OF SOLUTIONS FOR A CLASS OF SYSTEMS GOVERNED BY NONLINEAR DIFFERENTIAL INCLUSIONS

ＥＸＩＳＴＥＮＣＥＯＦＳＯＬＵＴＩＯＮＳＦＯＲＡＣＬＡＳＳＯＦＳＹＳＴＥＭＳＧＯＶＥＲＮＥＤＢＹＮＯＮＬＩＮＥＡＲＤＩＦＦＥＲＥＮＴＩＡＬＩＮＣＬＵＳＩＯＮＳ￥ＸＩＡＮＧＸｉａｏｌｉｎｇ；ＷＡＮＧＹｕａｎｄｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔ...     

LOCAL MAXIMUM PRINCIPLE FOR SINGULAR DISCRETE-TIME LINEAR SYSTEMS

In this paper a local maximum principle for the singular discrete-time linear systemMx(k)=φx(k-1)+Bu(k-1)is investigated.By using this local maximum principle we can discussthe linear-quadratic optimal regulator problem and the minimum energy problem for singulardiscrete-time linear systems.