Use of Multi-parametric Quadratic Programming in Fuzzy Control Systems

The paper presents some main aspects regarding multi-parametric quadraticprogramming (mp-QP) problems. Model Predictive Control (MPC) is considered as aparticular mp-QP problem, and this powerful tool is applied for control and simulationthrough a case study. Since the solutions to mp-QP problems can be expressed as piecewiseaffine linear functions of the state, a new implementation in terms of adaptive networkbasedfuzzy inference systems is proposed. The presentation is focused on the doubleintegrator plant as a frequently appearing case study (electrohydraulic servo-system).