現(xiàn)代控制理論

內(nèi)容概要

本書對現(xiàn)代控制理論基礎做了全面系統(tǒng)、由淺入深的闡述。主要內(nèi)容包括：控制系統(tǒng)的基本概念，建立系統(tǒng)狀態(tài)空間表達式的三種方法，以及幾種組合系統(tǒng)的數(shù)學描述；時不變及時變線性動態(tài)系統(tǒng)的求解，矩陣指數(shù)的概念及求解：系統(tǒng)能控性與能觀測性概念及判別準則；線性系統(tǒng)反饋控制器與狀態(tài)觀測器的定義及設計方法；控制系統(tǒng)的李雅普諾夫穩(wěn)定性分析；系統(tǒng)的狀態(tài)反饋，基于狀態(tài)空間的極點配置及狀態(tài)估計：最優(yōu)控制的概念及求解方法；系統(tǒng)的最小實現(xiàn)等。每章后均附有習題。在本書的最后還給出了控制理論術語的中英文對照索引。 本書可作為高等學校自動化專業(yè)及相關專業(yè)研究生或高年級本科生的雙語課教材，也可供從事自動化工作的工程技術人員參考。

書籍目錄

1MathematicalDescription 1.1Examples 1.1.1AnRLCNetwork 1.1.2AMovingBodySystem 1.2SystemDescription 1.2.1DifferentialOperatorRepresentation 1.2.2TransferMatrixRepresentation 1.2.3StateSpaceRepresentation 1.3ObtainingStateEquations 1.3.1FindingStateEquationsfromDifferentialOperatorRepresentation 1.3.2FindingtheStateEquationfromTransferFunction 1.4ObtainingTransferFunctionMatrixfromStateEquations 1.5MathematicalDescriptionofCompositeSystems 1.5.1ParallelConnection 1.5.2TandemConnection 1.5.3FeedbackConnection 1.6EquivalentSystems 1.7Problems 2SolutionsofLinearDynamicalSystems 2.1Time-InvariantHomogeneousSystems 2.2PropertiesoftheMatrixExponential 2.2.1PropertiesoftheMatrixExponential 2.2.2TheMatrixExponentialforCommonMatrices 2.2.3CalculationsoftheMatrixExponential 2.3Time-varyingHomogeneousSystems 2.4SolutionsofLinearDynamicalSystems 2.4.1LinearTime-varyingDynamicalSystems 2.4.2LinearTime-invariantDynamicalSystems 2.5Problems 3ControllabilityandObservability 3.1Introduction 3.2Definitions 3.2.1Controllability 3.2.20bservability 3.3LinearTime-invariantSystemswithDistinctEigenvalues 3.4LinearTime-invariantSystemswithArbitraryEigenvalues 3.5Time-varyingLinearSystems 3.6IllustrativeProblems 3.7CanonicalDecomposition 3.7.1ControllabilityDecomposition 3.7.20bservabilityDecomposition 3.7.3CanonicalDecompositionTheorem 3.7.4IrreducibleDynamicalEquation 3.8DualityandDualSystems 3.9ControllabilityIndexandObservabilityIndex 3.10Problems 4StabilityofLinearSystems 4.1Definitions 4.2StabilityofLinearTime-varyingSystems 4.3StabilityofLinearTime-invariantSystems 4.4TheDirectMethodofLyapunov 4.5Problems 5StateFeedbackandEstimator 5.1TheEffectofFeedbackonSystemProperties 5.1.1Controllability 5.1.20bservability 5.1.3Stability 5.2PolePlacement 5.2.1Single-inputCase 5.2.2Multi-inputCase 5.2.3Stabilization 5.3DecouplingbyStateFeedback 5.4StateEstimator 5.4.1Full-dimensionalStateEstimator 5.4.2Reduced-dimensionalStateEstimator 5.5FeedbackSystemwithStateEstimator 5.6Problems 6OptimalControlTheory 6.1Introduction 6.2PracticalExamplesofOptimalControl 6.2.1TheProblemonSoftLandingoftheSpaceCraft 6.2.2RocketLaunchingProblem 6.3DescriptionofOptimalControlProblem 6.4SolutionstoOptimalControlProblems 6.4.1FreeTerminalProblem 6.4.2FixedTerminalProblem 6.4.3TimeOptimalProblem 6.5Pontryagin‘sMinimumPrinciple 6.6Problems 7IrreducibleRealizations 7.1Introduction 7.2DegreeandCharacteristicPolynomial 7.3IrreducibleRealizations 7.3.1IrreducibleRealizationsofProperRationalFunctions 7.3.2ObservableCanonicalFormRealization 7.3.3ControllableCanonicalFormRealization 7.4Problems Index References

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