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9780898714241 Academic Inspection Copy

Classical Control Using H? Methods

An Introduction to Design
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One of the main accomplishments of control in the 1980s was the development of a subject called H[infinity] control. This book teaches control system design using H[infinity] techniques. Students will find this book easy to use because it is conceptually simple. They will find it useful because of the widespread appeal of classical frequency domain methods. Classical control has always been presented as trial and error applied to specific cases; this book lays out a much more precise approach. This has the tremendous advantage of converting an engineering problem to one that can be put directly into a mathematical optimization package. After completing this course, a student will have a good feel for how engineering specs are coded as precise mathematical constraints.
Preface Part I: Short Design Course. Chapter 1: A Method for Solving System Design Problems Rational Functions The Closed Loop System S Designable Transfer Function A System Design Problem The Method Exercises Chapter 2: Internal Stability Control and Stability Interpolation Systems With a Stable Plant Exercises Chapter 3: Frequency Domain Performance Requirements Introduction Measures of Performance Piecing Together Disk Inequalities More Performance Measures A Fully Constrained Problem Chapter 4: Optimization Review of Concepts Generating a Performance Function Finding T With Best Performance Acceptable Performance Functions Performance Not of Circular Type Optimization Internal Stability and Optimization Exercises Chapter 5: A Design Example With OPTDesign Introduction The Problem Optimization With OPTDesign Producing a Rational Compensator How Good is the Answer? Optimality Diagnostics Specifying Compensator Roll-off Reducing the Numerical Error Rational Fits Exercises Part II: More on Design. Chapter 6: Examples Numerical Practicalities Design Example 1 Time Domain Performance Requirements Design Example 2 Performance for Competing Constraints Chapter 7: Internal Stability Calculating Interpolants Plants With Simple RHP Zeros and Poles Parameterization: The General Case Exercises References and Further Reading Part III: Appendices. Appendix A: History and Perspective Appendix B: Getting OPTDesign and Anopt Appendix C: Anopt Notebook Appendix D: NewtonInterpolant Notebook Appendix E: NewtonFit Notebook.
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