This approach demonstrates a stabilizing controller for nonlinear systems, indicating low complexity and effective control solutions.
This paper considers data‐driven online control of input‐affine nonlinear systems. By resorting to a data‐based closed‐loop time‐varying system representation, we derive data‐based online semi‐definite programs that are computed along the system's trajectory. A stabilizing time‐varying controller and a time‐varying Lyapunov function are simultaneously returned from any sequence of feasible solutions of the online program. The method has low complexity and is able to update the control gain with stability guarantees. The data‐driven setpoint control of a permanent magnet synchronous motor is studied to illustrate the effectiveness of the proposed design scheme.
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Dai et al. (2025) studied this question.
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