lqr()

Control Systems

lqr() is a MATLAB®-compatible control systems function for continuous-time linear quadratic regulator. solves the algebraic riccati equation via matrix sign function iteration and returns the optimal gain k, riccati solution s=p, and closed-loop eigenvalues e. Run it online in your browser with SimLab — free, no install, no license required.

▶ Try lqr() in SimLab — Free

Syntax

[K, S, e] = lqr(A, B, Q, R)

Examples — run lqr() in your browser

[K, S, e] = lqr([[0,1],[0,0]], [[0],[1]], eye(2), 1)

▶ Run

A = [0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -1, -2, -3, -4]; B = [0; 0; 0; 1]; [K, S, E] = lqr(A, B, eye(4), 10)

▶ Run

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Frequently Asked Questions about lqr()

Is the lqr() function free to use in SimLab?

The browser workspace requires no MATLAB® license or installation. Connected features require network access and may have account, tier, availability, or usage limits. You can open lqr() and 510+ other MATLAB®-compatible function references at simulations4all.com/simlab.

Do I need to install MATLAB to use lqr()?

No. SimLab’s core parser, workspace state, and most functions run locally in your browser. The lqr() function requires no MATLAB® license or desktop software download.

What does lqr() do?

Continuous-time Linear Quadratic Regulator. Solves the algebraic Riccati equation via matrix sign function iteration and returns the optimal gain K, Riccati solution S=P, and closed-loop eigenvalues e. It is a MATLAB®-compatible control systems function available in SimLab with the same calling syntax as MATLAB® — typically: [K, S, e] = lqr(A, B, Q, R).

Can I run lqr() in my browser?

Yes. Open SimLab at simulations4all.com/simlab, write or paste code that calls lqr(), and run it. This function’s calculation runs locally in the browser. SimLab session analytics, sharing, feedback, and eligible acceleration have separate network boundaries.

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