linear robust control

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1、LINEARROBUSTCONTROLLINEARROBUSTCONTROLMichaelGreenAustralianNationalUniversityCanberra,AustraliaDavidJ.N.LimebeerProfessorofControlEngineeringImperialCollegeofScience,TechnologyandMedicineUniversityofLondonLondon,U.K.Thisbookwaspreviouslypublishedby:PearsonEducation,Inc.ISBN0-13-102278-4Cont

2、entsPrefacexi1Introduction11.1GoalsandoriginsofH∞optimalcontrol11.2Optimizingthecommandresponse61.3Optimaldisturbanceattenuation91.3.1Internalstabilitytheoryforstableplants101.3.2Solutionofthedisturbanceattenuationproblem111.4Arobuststabilityproblem131.5Concludingcommentsandreferences171.6Pr

3、oblems192MultivariableFrequencyResponseDesign212.1Introduction212.2Singularvalues282.2.1Thesingularvaluedecomposition282.2.2Singularvalueinequalities312.3Singularvaluesandthesensitivityoperator342.4Robuststabilityanalysis362.4.1ANyquiststabilitytheorem382.4.2Additivemodelerror402.4.3Multipli

4、cativemodelerror442.4.4Examples472.5Performanceanalysisandenhancement522.5.1Disturbanceattenuation532.5.2Tracking552.5.3Sensorerrors552.5.4Thecontrolsignal562.5.5Robustperformance572.5.6Analyticlimitsonperformance59vviCONTENTS2.6Example622.7NotesandReferences652.8Problems683SignalsandSystems

5、713.1Signals723.1.1Thesizeofsignals723.1.2Signalsinthefrequencydomain773.2Systems793.2.1Linearsystems803.2.2ThespaceL∞823.2.3ThespaceH∞843.2.4Adjointsystems853.2.5Allpasssystems863.3Thesizeofasystem893.3.1Theincrementalgain903.3.2Theinducednorm913.3.3The2-normofasystem933.4Thesmallgaintheore

6、m963.5Looptransformation983.5.1Multipliersorweights993.5.2Linearshift1003.5.3Passivity1023.6Robuststabilityrevisited1073.7Theboundedreallemma1093.7.1Analgebraicproof1113.7.2Anoptimalcontrolproof1143.8NotesandReferences1223.9Problems1244LinearFractionalTransformations1314.1Introduction1314.1.

7、1Thecompositionformula1344.1.2Interconnectionsofstate-spaceLFTs1354.2LFTsincontrollersynthesis1384.2.1Thegeneralizedregulatorproblem1414.2.2Thefull-informationproblem1454.3ContractiveLFTs1504.3.1Constantmatrixcase1514.3.2Dynamicmatrixcase1534.4Mini