National Instruments 370760B-01 manual - page 5

iv CONTENTS
2.2.5 Obtaining RobustControl Models forPhysical Systems . . . . . . 28
2.3 H∞and H2DesignMethodologies ...................... 29
2.3.1 H∞DesignOverview ......................... 31
2.3.2 Assumptions forthe H∞DesignProblem .............. 32
2.3.3 A BriefReview ofthe Algebraic RiccatiEquation . . . . . . . . . . 33
2.3.4 Solving the H∞DesignProblem for aSpecial Case . . . . . . . . . 36
2.3.5 Further Notes on the H∞Design Algorithm . . . . . . . . . . . . . 38
2.3.6 H2DesignOverview .......................... 40
2.3.7 Details of the H2DesignProcedure ................. 40
2.4 µAnalysis.................................... 42
2.4.1 MeasuresofPerformance ....................... 42
2.4.2 Robust Stability and µ......................... 44
2.4.3 RobustPerformance.......................... 46
2.4.4 Properties of µ............................. 47
2.4.5 TheMainLoopTheorem ....................... 49
2.4.6 State-spaceRobustnessAnalysisTests................ 51
2.4.7 Analysis withboth Real andComplex Perturbations . . . . . . . . 58
2.5 µSynthesis and D-KIteration ........................ 58
2.5.1 µ-Synthesis............................... 58
2.5.2 The D-KIterationAlgorithm . . . . . . . . . . . . . . . . . . . . . 60