CDS 101/110 - System Modeling - Revision history

Murray: CDS 101/110, Week 2 - System Modeling moved to CDS 101/110 - System Modeling

2008-09-15T05:18:56Z

CDS 101/110, Week 2 - System Modeling moved to CDS 101/110 - System Modeling

← Older revision		Revision as of 05:18, 15 September 2008
(No difference)

Hines: /* Homework */

2007-10-12T01:10:06Z

Homework

← Older revision		Revision as of 01:10, 12 October 2007
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	* {{cds101 handouts\|hw2.pdf\|HW #2}}		* {{cds101 handouts\|hw2.pdf\|HW #2}}

	This homework set demonstrates the construction and use of models for control systems. The first problem asks the student to identify the states, inputs, outputs, and dynamics for a sample systems. The second problem consists of a detailed construction of a vehicle model that can be used for cruise control. The last problem (CDS 110 only) ~~explore~~ discrete time modeling techniques.		This homework set demonstrates the construction and use of models for control systems. The first problem asks the student to identify the states, inputs, outputs, and dynamics for a sample systems. The second problem consists of a detailed construction of a vehicle model that can be used for cruise control. The last problem (CDS 110 only) explores discrete time modeling techniques.

	<!-- Links to homework materials -->		<!-- Links to homework materials -->

Murray: /* Overview */

2007-10-11T02:31:12Z

Overview

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	* [http://www.cds.caltech.edu/~murray/courses/cds101/fa07/mp3/cds101-demo.mp4 cds101-demo.mp4] spring-mass system frequency response demonstration video from lecture		* [http://www.cds.caltech.edu/~murray/courses/cds101/fa07/mp3/cds101-demo.mp4 cds101-demo.mp4] spring-mass system frequency response demonstration video from lecture

	'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handouts ~~placeholder~~\|L2-~~2_odes_h~~.pdf\|Slides}}, {{cds101 mp3\|cds101-2007-10-10.mp3\|MP3}})		'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handouts\|L2-2_odes.pdf\|Slides}}, {{cds101 mp3\|cds101-2007-10-10.mp3\|MP3}})

	This lecture provides a more detailed introduction to the use of ordinary differential equations (ODEs) for modeling dynamical systems. A brief review of the solutions of second order linear ODEs is provided to make connection with prior coursework. The general form of nonlinear and linear ODEs is provided, along with an overview of some of the techniques for solving linear ODEs in special forms (scalar and diagonal systems). Analysis tools, including stability and frequency response, are illustrated. Finally, the use of block diagrams in control systems is introduced, including the standard symbology used in the text and an extended example (insect flight).		This lecture provides a more detailed introduction to the use of ordinary differential equations (ODEs) for modeling dynamical systems. A brief review of the solutions of second order linear ODEs is provided to make connection with prior coursework. The general form of nonlinear and linear ODEs is provided, along with an overview of some of the techniques for solving linear ODEs in special forms (scalar and diagonal systems). Analysis tools, including stability and frequency response, are illustrated. Finally, the use of block diagrams in control systems is introduced, including the standard symbology used in the text and an extended example (insect flight).
			* {{cds101 handouts\|L2-2_odes_h.pdf\|Lecture handout}}

	'''Friday:''' {{cds101 lecture\|SIMULINK Tutorial}} - George Hines		'''Friday:''' {{cds101 lecture\|SIMULINK Tutorial}} - George Hines

Fuller: /* Overview */

2007-10-10T23:56:52Z

Overview

← Older revision		Revision as of 23:56, 10 October 2007
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	* [http://www.cds.caltech.edu/~murray/courses/cds101/fa07/mp3/cds101-demo.mp4 cds101-demo.mp4] spring-mass system frequency response demonstration video from lecture		* [http://www.cds.caltech.edu/~murray/courses/cds101/fa07/mp3/cds101-demo.mp4 cds101-demo.mp4] spring-mass system frequency response demonstration video from lecture

	'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handouts placeholder\|L2-2_odes_h.pdf\|Slides}}, {{cds101 mp3 ~~placeholder~~\|cds101-2007-10-10.mp3\|MP3}})		'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handouts placeholder\|L2-2_odes_h.pdf\|Slides}}, {{cds101 mp3\|cds101-2007-10-10.mp3\|MP3}})

	This lecture provides a more detailed introduction to the use of ordinary differential equations (ODEs) for modeling dynamical systems. A brief review of the solutions of second order linear ODEs is provided to make connection with prior coursework. The general form of nonlinear and linear ODEs is provided, along with an overview of some of the techniques for solving linear ODEs in special forms (scalar and diagonal systems). Analysis tools, including stability and frequency response, are illustrated. Finally, the use of block diagrams in control systems is introduced, including the standard symbology used in the text and an extended example (insect flight).		This lecture provides a more detailed introduction to the use of ordinary differential equations (ODEs) for modeling dynamical systems. A brief review of the solutions of second order linear ODEs is provided to make connection with prior coursework. The general form of nonlinear and linear ODEs is provided, along with an overview of some of the techniques for solving linear ODEs in special forms (scalar and diagonal systems). Analysis tools, including stability and frequency response, are illustrated. Finally, the use of block diagrams in control systems is introduced, including the standard symbology used in the text and an extended example (insect flight).

Murray at 06:09, 9 October 2007

2007-10-09T06:09:30Z

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 This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.
 * [http://www.cds.caltech.edu/~murray/courses/cds101/fa07/mp3/cds101-demo.mp4 cds101-demo.mp4] spring-mass system frequency response demonstration video from lecture
@@ Line 17: / Line 19: @@
 This tutorial will provide an overview of the SIMULINK modeling tool.
 == Reading ==
@@ Line 38: / Line 25: @@
 == Homework ==
 This homework set demonstrates the construction and use of models for control systems. The first problem asks the student to identify the states, inputs, outputs, and dynamics for a sample systems. The second problem consists of a detailed construction of a vehicle model that can be used for cruise control. The last problem (CDS 110 only) explore discrete time modeling techniques.

Fuller: /* Overview */

2007-10-09T01:35:31Z

Overview

← Older revision		Revision as of 01:35, 9 October 2007
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	This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.		This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.

	* [~~[media~~:cds101-demo.mp4\|cds101-demo.mp4]~~] -~~ spring-mass system frequency response demonstration video from lecture		* [http://www.cds.caltech.edu/~murray/courses/cds101/fa07/mp3/cds101-demo.mp4 cds101-demo.mp4] spring-mass system frequency response demonstration video from lecture

	'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handouts placeholder\|L2-2_odes_h.pdf\|Slides}}, {{cds101 mp3 placeholder\|cds101-2007-10-10.mp3\|MP3}})		'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handouts placeholder\|L2-2_odes_h.pdf\|Slides}}, {{cds101 mp3 placeholder\|cds101-2007-10-10.mp3\|MP3}})

Fuller: /* Overview */

2007-10-09T01:22:09Z

Overview

← Older revision		Revision as of 01:22, 9 October 2007
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	== Overview ==		== Overview ==

	'''Monday:''' Introduction to Modeling ({{cds101 handouts\|L2-1_modeling.pdf\|Slides}}, {{cds101 mp3\|cds101-2007-10-08.mp3\|MP3}})		'''Monday:''' Introduction to Modeling ({{cds101 handouts\|L2-1_modeling.pdf\|Slides}}, {{cds101 mp3\|cds101-2007-10-08.mp3\|MP3}} )

	This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.		This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.

			* [[media:cds101-demo.mp4\|cds101-demo.mp4]] - spring-mass system frequency response demonstration video from lecture

	'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handouts placeholder\|L2-2_odes_h.pdf\|Slides}}, {{cds101 mp3 placeholder\|cds101-2007-10-10.mp3\|MP3}})		'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handouts placeholder\|L2-2_odes_h.pdf\|Slides}}, {{cds101 mp3 placeholder\|cds101-2007-10-10.mp3\|MP3}})

Fuller: /* Overview */

2007-10-08T23:22:03Z

Overview

← Older revision		Revision as of 23:22, 8 October 2007
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	== Overview ==		== Overview ==

	'''Monday:''' Introduction to Modeling ({{cds101 handouts\|L2-1_modeling.pdf\|Slides}}, {{cds101 mp3 ~~placeholder~~\|cds101-2007-10-08.mp3\|MP3}})		'''Monday:''' Introduction to Modeling ({{cds101 handouts\|L2-1_modeling.pdf\|Slides}}, {{cds101 mp3\|cds101-2007-10-08.mp3\|MP3}})

	This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.		This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.

Murray: /* Homework */

2007-10-08T17:37:05Z

Homework

← Older revision		Revision as of 17:37, 8 October 2007
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	== Homework ==		== Homework ==

	This homework set demonstrates the construction and use of models for control systems. The first problem asks the student to identify the states, inputs, outputs, and dynamics for a sample systems. The second problem consists of a detailed construction of a vehicle model that can be used for cruise control. The last ~~two problems~~ (CDS 110 only) explore ~~different~~ modeling techniques~~, including both discrete time, analytical, and MATLAB-based analysis of dynamical systems~~.		This homework set demonstrates the construction and use of models for control systems. The first problem asks the student to identify the states, inputs, outputs, and dynamics for a sample systems. The second problem consists of a detailed construction of a vehicle model that can be used for cruise control. The last problem (CDS 110 only) explore discrete time modeling techniques.

	<!-- Links to homework materials -->		<!-- Links to homework materials -->

Murray: /* Handouts */

2007-10-08T17:36:11Z

Handouts

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	\|- valign=top		\|- valign=top
	\| width=33% \| Monday		\| width=33% \| Monday
	* {{cds101 handouts ~~placeholder~~\|L2-1_modeling_h.pdf\|Lecture handout}}		* {{cds101 handouts\|L2-1_modeling_h.pdf\|Lecture handout}}
	* MATLAB files: {{cds101 matlab\|L2_1_modeling.m}}, {{cds101 matlab\|springmass.m}}		* MATLAB files: {{cds101 matlab\|L2_1_modeling.m}}, {{cds101 matlab\|springmass.m}}
	* {{cds101 handouts placeholder\|hw2.pdf\|HW #2}}		* {{cds101 handouts placeholder\|hw2.pdf\|HW #2}}

← Older revision		Revision as of 17:36, 8 October 2007
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	\|- valign=top		\|- valign=top
	\| width=33% \| Monday		\| width=33% \| Monday
	* {{cds101 handouts ~~placeholder~~\|L2-1_modeling_h.pdf\|Lecture handout}}		* {{cds101 handouts\|L2-1_modeling_h.pdf\|Lecture handout}}
	* MATLAB files: {{cds101 matlab\|L2_1_modeling.m}}, {{cds101 matlab\|springmass.m}}		* MATLAB files: {{cds101 matlab\|L2_1_modeling.m}}, {{cds101 matlab\|springmass.m}}
	* {{cds101 handouts placeholder\|hw2.pdf\|HW #2}}		* {{cds101 handouts placeholder\|hw2.pdf\|HW #2}}