Author | Wolovich, W. A. author |
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Title | Linear Multivariable Systems [electronic resource] / by W. A. Wolovich |
Imprint | New York, NY : Springer New York, 1974 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-6392-0 |
Descript | IX, 358 p. online resource |
1 โ Introduction -- 2 โ Mathematical Preliminaries -- 2.1 Introduction -- 2.2 Linear Vector Spaces -- 2.3 Linear Operators -- 2.4 Scalar Matrices -- 2.5 Polynomial Matrices -- 2.6 Concluding Remarks and References -- 3 โ The State Space -- 3.1 Introduction -- 3.2 State Representations -- 3.3 The Determination of eAt -- 3.4 Equivalent Systems -- 3.5 Controllability and Observability -- 3.6 Controllable and Observable Companion Forms -- 3.7 Concluding Remarks and References -- 4 โ Frequency Domain Representations -- 4.1 Introduction -- 4.2 The Transfer Matrix -- 4.3 The Structure Theorem -- 4.4 Realization Theory (Time Domain Reduction) -- 4.5 Concluding Remarks and References -- 5 โ Differential Operator Representations -- 5.1 Introduction -- 5.2 Transfer and Equivalence Relations -- 5.3 Differential Operator Controllability and Observability -- 5.4 Realization Theory (Frequency Domain Reduction) -- 5.5 System Invertibility and Functional Reproducibility -- 5.6 Concluding Remarks and References -- 6 โ Linear State Variable Feedback -- 6.1 Introduction -- 6.2 Quadratic Optimization -- 6.3 Pole Assignment via the Controllable Companion Form -- 6.4 Asymptotic State Estimation -- 6.5 Concluding Remarks and References -- 7 โ Frequency Domain Compensation -- 7.1 Introduction -- 7.2 Frequency Domain Implications of State Feedback -- 7.3 Frequency Domain State Estimation and Feedback -- 7.4 A General Compensation Technique -- 7.5 Concluding Remarks and References -- 8 โ Design Objectives -- 8.1 Introduction -- 8.2 Arbitrary Pole Placement -- 8.3 Decoupling -- 8.4 Static Decoupling -- 8.5 Exact Model Matching -- 8.6 Concluding Remarks and References -- References