CALIFORNIA INSTITUTE OF TECHNOLOGY · UNITED STATES
CDS 110: Introduction to Control Theory
Master's · Taught in en
At a glance
3 mo
Duration
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IELTS
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Tuition / yr
en
Language
Master's
Level
- Applied Control TheoryFocus
- Feedback System DesignCore Skill
- Interdisciplinary FocusApplication
- Hands-on problem solvingLearning Style
This course provides an introduction to the fundamental principles of analysis and design for feedback control systems. Students will learn how to model physical, biological, and information systems using linear and nonlinear differential equations. The curriculum covers key concepts such as stability and performance of interconnected systems, utilizing tools like block diagrams, Bode plots, Nyquist criterion, and Lyapunov functions. CDS 110 emphasizes robustness and uncertainty management in feedback systems through both stochastic and deterministic methods. It introduces random processes, Kalman filtering, and norms of signals and systems. This course runs concurrently with CDS 101 but includes additional specialized lectures, readings, and homework focusing on analytical techniques for designing and synthesizing control systems.
Curriculum
The course is structured around weekly lectures and optional supplemental sessions, covering a range of topics from foundational concepts to advanced design techniques in control theory. Homework assignments and a midterm and final exam assess understanding.
- Fall 2002
- Introduction to feedback and controlL1.1
- Introduction to control technologyL1.2
- System modelingL2.1
- ODE modeling for controlL2.2
- Stability and performanceL3.1
- Lyapunov stability and second order systemsL3.2
- Linear systemsL4.1
- Analysis of linear systems; discrete time systemsL4.2
- Controllability and state space feedbackL5.1
- Linear systems analysisL5.2
- Transfer functionsL6.1
- Bode plots and performance specificationL6.2
- Loop analysis of feedback systemsL7.1
- Nyquist analysis, second order systems, time delayL7.2
- Frequency domain control designL8.1
- Ducted fan design exampleL8.2
- PID control and root locusL9.1
- Root locus analysis, performance limitsL9.2
- Uncertainty analysisL10.1
- Motion control systemsL10.2
- MATLAB tutorialOptional
- Sensory-Motor Control of Autonomous Flight in FliesOptional
- Aerospace Applications of ControlOptional
- Control Problems in Decentralized Computing SystemsOptional
- Midterm reviewOptional
- Control theory approaches to biological sensorsOptional
- Control of the Keck and CELT telescopesOptional
Frequently asked questions
- What are the entry requirements for this programme?
- You should have completed undergraduate coursework equivalent to a basic course on ordinary differential equations and linear algebra (like Ma 1/2).
- What is the language of instruction?
- The primary language of instruction at the California Institute of Technology is English.
- What are the tuition fees for this programme?
- The provided information details 100% tuition coverage for doctoral students through merit-based financial support. Specific tuition fees for Master of Science or Engineer's degree programs are not specified.
- How can I apply for this programme?
- You can apply online through the Caltech Graduate Admissions portal. Ensure you prepare all necessary documents, which typically include transcripts, letters of recommendation, and a statement of purpose.
- What is the duration of the programme?
- The programme duration is not specified in the provided data.
- What are the career prospects after completing this programme?
- Caltech graduates are prepared for careers in science, engineering, and other fields globally, with the university offering extensive career advising and support.
Entry requirements
Undergraduate courseworkBasic course on ordinary differential equations and linear algebra (equivalent to Ma 1/2).
Caltech welcomes graduate students from diverse backgrounds and emphasizes interdisciplinary work. Specific admission requirements for graduate programs can be found on the Caltech Graduate Admissions website.
Fees
Tuition (international)100% coverage of doctoral students' tuition with merit-based financial support. Specific tuition fees for MS or Engineer's degree programs are not specified here.
Tuition (home)100% coverage of doctoral students' tuition with merit-based financial support. Specific tuition fees for MS or Engineer's degree programs are not specified here.
Living—
The provided information primarily focuses on financial support for doctoral students. For other graduate degrees, please refer to the university's official financial support pages.
How to apply
1. Explore Degree OptionsReview the available graduate degree programs and academic options to find the best fit for your interests and career goals.
2. Prepare Application MaterialsGather all necessary documents for your application. While specific documents aren't listed here, common requirements typically include academic transcripts, letters of recommendation, a statement of purpose, and GRE scores.
3. Submit Your ApplicationApply online through the Caltech Graduate Admissions portal. Ensure all sections are completed accurately and all required documents are uploaded by the deadline.
4. Consider Financial SupportAll doctoral students receive 100% tuition coverage through merit-based financial support. Explore additional financial aid options as available for your specific degree program.
Scholarships
Merit-based Financial Support for Doctoral Students100% tuition coverage
Frequently asked questions
What are the entry requirements for this programme?
+
You should have completed undergraduate coursework equivalent to a basic course on ordinary differential equations and linear algebra (like Ma 1/2).
What is the language of instruction?
+
The primary language of instruction at the California Institute of Technology is English.
What are the tuition fees for this programme?
+
The provided information details 100% tuition coverage for doctoral students through merit-based financial support. Specific tuition fees for Master of Science or Engineer's degree programs are not specified.
How can I apply for this programme?
+
You can apply online through the Caltech Graduate Admissions portal. Ensure you prepare all necessary documents, which typically include transcripts, letters of recommendation, and a statement of purpose.
What is the duration of the programme?
+
The programme duration is not specified in the provided data.
What are the career prospects after completing this programme?
+
Caltech graduates are prepared for careers in science, engineering, and other fields globally, with the university offering extensive career advising and support.