摘要：AbstractThis paper presents a control redesign approach to improve the performance of a certain class of dynamical systems. Motivated by recent research on re-engineering cyber-physical systems, we propose a three-step control retrofit procedure. First, we reverse-engineer a dynamical system to dig out an optimization problem it actually solves. Second, we apply an augmented Lagrangian or a hat-x method to solve this optimization problem. Finally, by comparing the original and new dynamics, we obtain the implementation of the redesigned part (i.e., the extra dynamics). As a result, the convergence rate/speed or transient behavior of the given system can be improved while the system structure remains. To show the effectiveness of the proposed approach and its potential applications, we present two practical examples including Internet congestion control and distributed proportional-integral (PI) control.
