A modified quadratic cost problem for linear systems utilizes receding horizon control (moving terminal constraints) to achieve asymptotic stability and effective feedback stabilization. By modifying the standard linear-quadratic regulator (LQR) cost function, this method produces stabilizing feedback, particularly for time-varying systems where standard algebraic Riccati equations may not apply. An application is proposed for a quarter car model active suspension system
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Ursu et al. (2026) studied this question.
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