An adaptive constraint tightening approach to linear model predictive control based on approximation algorithms for optimization

作者：Necoara Ion^*; Ferranti Laura; Keviczky Tamas

来源：Optimal Control Applications and Methods, 2015, 36(5): 648-666.

DOI：10.1002/oca.2121

• suboptimal MPC
• embedded control
• constraint tightening
• stability
• feasibility
• dual fast gradient method
• flight control

In this paper, we propose a model predictive control scheme for discrete-time linear invariant systems based on inexact numerical optimization algorithms. We assume that the solution of the associated quadratic program produced by some numerical algorithm is possibly neither optimal nor feasible, but the algorithm is able to provide estimates on primal suboptimality and primal feasibility violation. By adaptively tightening the complicating constraints, we can ensure the primal feasibility of the approximate solutions generated by the algorithm. We derive a control strategy that has the following properties: the constraints on the states and inputs are satisfied, asymptotic stability of the closed-loop system is guaranteed, and the number of iterations needed for a desired level of suboptimality can be determined. The proposed method is illustrated using a simulated longitudinal flight control problem.

• 出版日期2015-10