Robust Adaptive Dynamic Programming: An overview of recent results

This paper gives an overview of our recent progress on robust adaptive dynamic programming (for short, robust-ADP) for continuous-time dynamic systems with unknown system parameters or system order. First, a novel, computational adaptive control method based on robustADP is proposed for linear systems with completely unknown dynamics. Then, the robust-ADP for nonlinear systems, with the integration of tools from nonlinear control theory, such as the small-gain and backstepping techniques is developed. Finally, an application of robust-ADP to the decentralized optimal stabilization of large-scale systems is studied. An example of power systems is numerically simulated to validate the efficiency of the robust-ADP-based optimal control design.