Difference between revisions of "Supplement: Linear Systems Theory"

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* {{LST pdf|Contents and Preface|lst-frontmatter|27Dec2020}}
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* {{LST pdf|Contents and Preface|lst-frontmatter|30Oct2020}}
* {{LST pdf|Ch 1 - Signals and Systems|lst-sigsys|27Dec2020}}
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* {{LST pdf|Ch 1 - Signals and Systems|lst-sigsys|30Oct2020}}
 
** Linear Spaces and Mappings
 
** Linear Spaces and Mappings
 
** Input/Output Dynamical Systems
 
** Input/Output Dynamical Systems
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** System Norms
 
** System Norms
 
** Exercises
 
** Exercises
* {{LST pdf|Ch 2 - Linear Input/Output Systems|lst-iosys|27Dec2020}}
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* {{LST pdf|Ch 2 - Linear Input/Output Systems|lst-iosys|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|27Dec2020}}
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* {{LST pdf|Ch 3 - Reachability and Stabilization|lst-reach|30Oct2020}}
 
** Concepts and Definitions  
 
** Concepts and Definitions  
 
** Reachability for Linear State Space Systems
 
** Reachability for Linear State Space Systems
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** Exercises
 
** Exercises
 
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* {{LST pdf|Ch 4 - Optimal Control|lst-optimal|27Dec2020}}
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* {{LST pdf|Ch 4 - Optimal Control|lst-optimal|30Oct2020}}
 
** Review: Optimization
 
** Review: Optimization
 
** Optimal Control of Systems
 
** Optimal Control of Systems
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** Advanced Topics
 
** Advanced Topics
 
** FurtherReading
 
** FurtherReading
* {{LST pdf|Ch 5 - State Estimation|lst-estimate|27Dec2020}}
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* {{LST pdf|Ch 5 - State Estimation|lst-estimate|30Oct2020}}
 
** Concepts and Definitions
 
** Concepts and Definitions
 
** Observability for Linear State Space Systems
 
** Observability for Linear State Space Systems
 
** Combining Estimation and Control
 
** Combining Estimation and Control
 
** Exercises
 
** Exercises
* {{LST pdf|Bibliography and Index|lst-backmatter|27Dec2020}}
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* {{LST pdf|Bibliography and Index|lst-backmatter|30Oct2020}}
 
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Revision as of 03:31, 28 December 2020

Richard M. Murray (Caltech)

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).

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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)