Abstract: Highlights•Explores self-stabilizing eNMPC for automation without predetermined setpoint.•Lyapunov constraint penalizes distance from optimality conditions, not solutions.•Proposes time-domain formulation to bridge discrete-time control and continuous models.•Tuning stabilizing constraints enhances closed-loop control and system adaptability.•Examines eNMPC in a membrane reactor, highlighting real-time control and efficiency.
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