A Data-Driven Algorithm for Model-Free Control Synthesis

• URL: http://arxiv.org/abs/2602.13157v1
• Date: Fri, 13 Feb 2026 18:11:33 GMT
• Title: A Data-Driven Algorithm for Model-Free Control Synthesis
• Abstract summary: This paper presents an algorithm to synthesize the optimal infinite-horizon LQR feedback controller for continuous-time systems.<n>The algorithm does not require knowledge of the system dynamics but instead uses only a finite-length sampling of arbitrary input-output data.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Presented is an algorithm to synthesize the optimal infinite-horizon LQR feedback controller for continuous-time systems. The algorithm does not require knowledge of the system dynamics but instead uses only a finite-length sampling of arbitrary input-output data. The algorithm is based on a constrained optimization problem that enforces a necessary condition on the dynamics of the optimal value function along any trajectory. In addition to calculating the standard LQR gain matrix, a feedforward gain can be found to implement a reference tracking controller. This paper presents a theoretical justification for the method and shows several examples, including a validation test on a real scale aircraft.

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