非线性控制系统的分析与设计（英文版）

图书标准信息

• 作者 Daizhen、Xiaoming、Tielong Shen 著；出版社 编
• 出版社 科学出版社
• 出版时间 2010-04
• 版次 1
• ISBN 9787030259646
• 定价 110.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 545页
• 正文语种 英语

【内容简介】

　　《非线性控制系统的分析与设计(英文版)》全面介绍了非线性控制系统的分析与设计。全书共分为两部分。其中第一部分为第1～4章。第1章介绍了拓扑空间，第2章介绍了微流形，第3章介绍了代数、Lie群和Lie代数，它们为《非线性控制系统的分析与设计(英文版)》提供了研究数学背景。第二部分包括12章，即第5～16章，这些章节涵盖了可控性、可观测性、稳定性、解耦、投入产出的实现、线性化、中心流技术、输出调节、耗散系统、H∞控制、切换系统和非平稳控制等方面，并给出了有关的详细设计技术。《非线性控制系统的分析与设计(英文版)》可供理工科大学自动控制专业的教师及研究生阅读，也可供自然科学和工程技术领域中相关专业的研究人员参考。

【作者简介】

　　Dr.DaizhanCheng，aprofessoratInstituteofSystemsScience，ChineseAcademyofSciences，hasbeenworkingonthecontrolofnonlinearsystemsforover30yearsandiscurrentlyaFellowofIEEEandaFellowofIFAC，heisalsothechairmanofTechnicalCommitteeonControlTheory，ChineseAssociationofAutomation.

【目录】

1.Introduction
1.1LinearControlSystems
1.1.1Controllability,Observability
1.1.2InvariantSubspaces
1.1.3Zeros,Poles,Observers
1.1.4NormalFormandZeroDynamics
1.2NonlinearityvsLinearity
1.2.1Localization
1.2.2Singularity
1.2.3ComplexBehaviors
1.3SomeExamplesofNonlinearControlSystems
References
2.TopologicalSpace
2.1MetricSpace
2.2TopologicalSpaces
2.3ContinuousMapping
2.4QuotientSpaces
References
3.Differentiab!eManifold
3.1StructureofManifolds
3.2FiberBundle
3.3VectorField
3.4OneParameterGroup
3.5LieAlgebraofVectorFields
3.6Co-tangentSpace
3.7LieDerivatives
3.8FrobeniusTheory
3.9LieSeries,ChowsTheorem
3.10TensorField
3.11RiemannianGeometry
3.12SymplecticGeometry
References
4.Algebra,LieGroupandLieAlgebra
4.1Group
4.2RingandAlgebra
4.3Homotopy
4.4FundamentalGroup
4.5CoveringSpace
4.6LieGroup
4.7LieAlgebraofLieGroup
4.8StructureofLieAlgebra
References
5.ControllabilityandObservability
5.1ControllabilityofNonlinearSystems
5.2ObservabilityofNonlinearSystems
5.3KalmanDecomposition
References
6.GlobalControllabilityofAffineControlSystems
6.1FromLineartoNonlinearSystems
6.2ASufficientCondition
6.3Multi-hierarchyCase
6.4Codim=1
References
7.StabilityandStabilization
7.1StabilityofDynamicSystems
7.2StabilityintheLinearApproximation
7.3TheDirectMethodofLyapunov
7.3.1PositiveDefiniteFunctions
7.3.2CriticalStability
7.3.3Instability
7.3.4AsymptoticStability
7.3.5TotalStability
7.3.6GlobalStability
7.4LaSallesInvariancePrinciple
7.5ConverseTheoremstoLyapunovsStabilityTheorems
7.5.1ConverseTheoremstoLocalAsymptoticStability
7.5.2ConverseTheoremtoGlobalAsymptoticStability
7.6StabilityofInvariantSet
7.7Input-OutputStability
7.7.1StabilityofInput-OutputMapping
7.7.2TheLureProblem
7.7.3ControlLyapunovFunction
7.8RegionofAttraction
References
8.Deeoupling
8.1(f,g)-invariantDistribution
8.2LocalDisturbanceDecoupling
8.3ControlledInvariantDistribution
8.4BlockDecomposition
8.5FeedbackDecomposition
References
9.Input-OutputStructure
9.1DecouplingMatrix
9.2MorgansProblem
9.3Invertibility
9.4DecouplingviaDynamicFeedback
9.5NormalFormofNonlinearControlSystems
9.6GeneralizedNormalForm
9.7FliessFunctionalExpansion
9.8TrackingviaFliessFunctionalExpansion
References
10.LinearizationofNonlinearSystems
10.1PoincareLinearization
10.2LinearEquivalenceofNonlinearSystems
10.3StateFeedbackLinearization
10.4LinearizationwithOutputs
10.5GlobalLinearization
10.6Non-regularFeedbackLinearization
References
11DesignofCenterManifold
11.1CenterManifold
11.2StabilizationofMinimumPhaseSystems
11.3LyapunovFunctionwithHomogeneousDerivative
11.4StabilizationofSystemswithZeroCenter
11.5StabilizationofSystemswithOscillatoryCenter
11.6StabilizationUsingGeneralizedNormalForm
11.7AdvancedDesignTechniques
References
12OutputRegulation
12.1OutputRegulationofLinearSystems
12.2NonlinearLocalOutputRegulation
12.3RobustLocalOutputRegulation
References
13DissipativeSystems
13.1DissipativeSystems
13.2PassivityConditions
13.3Passivity-basedControl
13.4LagrangeSystems
13.5HamiltonianSystems
References
14L2-GainSynthesis
14.1H∞Normand//2-Gain
14.2H∞FeedbackControlProblem
14.3L2-GainFeedbackSynthesis
14.4ConstructiveDesignMethod
14.5Applications
References
15SwitchedSystems
15.1CommonQuadraticLyapunovFunction
15.2QuadraticStabilizationofPlanarSwitchedSystems
15.3ControllabilityofSwitchedLinearSystems
15.4ControllabilityofSwitchedBilinearSystems
15.5LaSallesInvariancePrincipleforSwitchedSystems
15.6ConsensusofMulti-AgentSystems
15.6.1TwoDimensionalAgentModelwithaLeader
15.6.2nDimensionalAgentModelwithoutLead
References
16DiscontinuousDynamicalSystems
16.1Introduction
16.2FilippovFramework
16.2.1FilippovSolution
16.2.2LyapunovStabilityCriteria
16.3FeedbackStabilization
16.3.1FeedbackControllerDesign:NominalCase
16.3.2RobustStabilization
16.4DesignExampleofMechanicalSystems
16.4.1PDControlledMechanicalSystems
16.4.2StationarySet
16.4.3ApplicationExample
References
AppendixASomeUsefulTheorems
A.1SardsTheorem
A.2RankTheorem
References
AppendixBSemi-TensorProductofMatrices
B.1AGeneralizedMatrixProduct
B.2SwapMatrix
B.3SomePropertiesofSemi-TensorProduct
B.4MatrixFormofPolynomials
References
Index