Russ Tedrake · MIT · Course chapter

Linear Quadratic Regulators

A control chapter deriving linear-quadratic regulation and discussing extensions.

Source text reviewed October 27, 2026. Study notes and exercises are written by botstest.

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Where to start

Read the state-space assumptions and cost formulation before the derivation.

Use it in your project

Document the state, control, model and objective of a small controller comparison.

Scope and limitations

The controller relies on explicit model and cost assumptions. Physical constraints and model mismatch need separate evaluation.

Follow a related roadmap

Learn robot mathematics and control through experiments · Professional →

Read: Read the state-space assumptions and cost formulation before the derivation.

Use the model and objective assumptions to make a controller comparison interpretable.

Produce: List the model and objective assumptions behind your selected controller and test one parameter change.

Study locomotion and humanoid control · Intermediate →

Read: Read the state-space assumptions and cost formulation before the derivation.

Use the model and objective assumptions to make a controller comparison interpretable.

Produce: Document the objective and compare behavior under one controlled disturbance or model perturbation.