Difference between revisions of "Supplement: Linear Systems Theory"

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<font size="+1">Richard M. Murray (Caltech)</font>
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{{LST quick links}}
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<font size="+1">[[User:Murray|Richard M. Murray]]</font>
  
 
These notes serve as a supplement to ''Feedback Systems'' by {{Astrom}} and Murray and expand on some of the topics introduced there.  The focus in on more advanced presentations of the material on linear systems, providing a more theory-based coverage of the topics.  Each chapter is intended to augment the introductory topics that are introduced in ''Feedback Systems''.
 
These notes serve as a supplement to ''Feedback Systems'' by {{Astrom}} and Murray and expand on some of the topics introduced there.  The focus in on more advanced presentations of the material on linear systems, providing a more theory-based coverage of the topics.  Each chapter is intended to augment the introductory topics that are introduced in ''Feedback Systems''.
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'''Note:''' These notes are in draft form and may contain errors.  Permission is granted to use and modify these notes for non-commercial purposes provided that appropriate credit is given to the original author and that all modifications contain these same terms (CC-BY-NC-SA).
 
'''Note:''' These notes are in draft form and may contain errors.  Permission is granted to use and modify these notes for non-commercial purposes provided that appropriate credit is given to the original author and that all modifications contain these same terms (CC-BY-NC-SA).
  
{{LST quick links}}
 
 
===== News =====
 
===== News =====
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{{#ask: [[Category:Announcements]] [[Book::LST]]
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=== Contents ===
 
=== Contents ===
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** System Norms
 
** System Norms
 
** Exercises
 
** Exercises
* {{LST pdf|Ch 2 - Linear Input/Output Systems|lst-iosys|30Oct2020}}
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* {{LST pdf|Ch 2 - Linear Input/Output Systems|lst-linsys|30Oct2020}}
 
** Matrix Exponential
 
** Matrix Exponential
 
** Convolution Equation
 
** Convolution Equation
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** Time-Varying Systems
 
** Time-Varying Systems
 
** Exercises
 
** Exercises
* {{LST pdf|Ch 3 - Reachability and Stabilization|lst-reach|30Oct2020}}
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* {{LST pdf|Ch 3 - Reachability and Stabilization|lst-reachability|30Oct2020}}
 
** Concepts and Definitions  
 
** Concepts and Definitions  
 
** Reachability for Linear State Space Systems
 
** Reachability for Linear State Space Systems
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** Advanced Topics
 
** Advanced Topics
 
** FurtherReading
 
** FurtherReading
* {{LST pdf|Ch 5 - State Estimation|lst-estimate|30Oct2020}}
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* {{LST pdf|Ch 5 - State Estimation|lst-estimation|30Oct2020}}
 
** Concepts and Definitions
 
** Concepts and Definitions
 
** Observability for Linear State Space Systems
 
** Observability for Linear State Space Systems

Latest revision as of 16:27, 3 January 2021

Quick Links

Richard M. Murray

These notes serve as a supplement to Feedback Systems by Åström and Murray and expand on some of the topics introduced there. The focus in on more advanced presentations of the material on linear systems, providing a more theory-based coverage of the topics. Each chapter is intended to augment the introductory topics that are introduced in Feedback Systems.

Note: These notes are in draft form and may contain errors. Permission is granted to use and modify these notes for non-commercial purposes provided that appropriate credit is given to the original author and that all modifications contain these same terms (CC-BY-NC-SA).

News

Contents

  • Ch 4 - Optimal Control (PDF, 30 Oct 2020)
    • Review: Optimization
    • Optimal Control of Systems
    • Examples
    • Linear Quadratic Regulators
    • Choosing LQR Weights
    • Advanced Topics
    • FurtherReading
  • Ch 5 - State Estimation (PDF, 30 Oct 2020)
    • Concepts and Definitions
    • Observability for Linear State Space Systems
    • Combining Estimation and Control
    • Exercises
  • Bibliography and Index (PDF, 30 Oct 2020)