کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4998520 | 1460354 | 2017 | 8 صفحه PDF | دانلود رایگان |
- Loss of dissipativity of continuous-time optimal control problems when discretized.
- Output of optimizer not necessarily true solution when cost function is non-convex.
- Wrong conclusions can be reached about system's behaviour when using economic MPC.
Economic model predictive control, where a generic cost is employed as the objective function to be minimized, has recently gained much attention in model predictive control literature. Stability proof of the resulting closed-loop system is often based on strict dissipativity of the system with respect to the objective function. In this paper, starting with a continuous-time setup, we consider the 'discretize then optimize' approach to solving continuous-time optimal control problems and investigate the effect of the discretization process on the closed-loop system. We show that while the continuous-time system may be strictly dissipative with respect to the objective function, it is possible that the resulting closed-loop system is unstable if the discrete-approximation of the continuous-time optimal control problem is not properly set up. We use a popular example from the economic MPC literature to illustrate our results.
Journal: Journal of Process Control - Volume 49, January 2017, Pages 1-8