LQR Calculator

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.

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