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LQR Calculator
Calculate the optimal feedback gain matrix for control systems with our free online LQR calculator, ideal for engineers, researchers, and students.
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About This Tool
The LQR Calculator is an advanced control engineering tool designed to assist control engineers and researchers in computing the optimal state feedback gain matrix (K) for Linear Quadratic Regulator (LQR) problems. Users input system matrices A and B, along with the cost matrices Q and R, to solve the algebraic Riccati equation and derive the control gains required for stabilizing and optimizing control performance.
This tool supports both continuous-time and discrete-time systems, making it versatile across various control applications such as robotics, aerospace, industrial automation, and vehicle control. Its intuitive interface allows users to define their system models easily, validate matrix inputs, and receive detailed solutions, including the Riccati matrix P, gain matrix K, and eigenvalues of the closed-loop system for stability assessment.
Designed for precision and usability, the LQR Calculator provides instant results, export options, and sensitivity analyses—empowering control engineers to refine their controllers confidently. Whether for academic purposes, research, or professional development, this tool streamlines the complex calculations involved in optimal control design, saving time and reducing errors.
How to Use
1. Input your system matrix A in the designated field.
2. Enter the control matrix B.
3. Fill in the cost matrices Q and R.
4. Select whether your system is Continuous or Discrete.
5. Click the 'Calculate' button to compute the gain and Riccati solution.
6. Review results, copy, export, or analyze eigenvalues as needed.
FAQs/Additional Resources
Find Quick Answers
What is the purpose of the LQR calculator?
Can I use this calculator for discrete control systems?
What matrices do I need to provide?
Is this tool suitable for large matrices?
Can I export or save my results?
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John Doe
CEO of Company
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John Doe
CEO of Company
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
John Doe
CEO of Company
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
John Doe
CEO of Company
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
John Doe
CEO of Company
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
John Doe
CEO of Company
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
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