TY - GEN

T1 - Decomposition method for solving integrated problem of cyclic scheduling and PI controller design

AU - Chu, Yunfei

AU - You, Fengqi

PY - 2013

Y1 - 2013

N2 - We propose a novel integration method to solve the scheduling problem and the closed-loop PI control problem simultaneously. The integrated problem is formulated as a mixed-integer dynamic optimization (MIDO) problem. Solution of the MIDO problem is challenging, especially in a short time period required for online implementation. We develop a fast computational strategy to solve the integrated problem, ensuring its online applications. First, we decompose all dynamic models from the integrated problem by computing the optimal-value function of the transition cost dependent on the transition time. The optimal-value function is then discretized by optimizing a set of controller candidates offline. The optimal controller candidate generates the minimum transition cost for a given transition time. Finally, the integrated problem is transformed into a scheduling problem with controller selection. This is a mixed-integer fractional programming problem. We propose a global optimization method based on the Dinkelbach's algorithm to solve the resulting large-scale problem efficiently. The advantage of the proposed method is demonstrated by a mehyl methacrylate polymer manufacturing process.

AB - We propose a novel integration method to solve the scheduling problem and the closed-loop PI control problem simultaneously. The integrated problem is formulated as a mixed-integer dynamic optimization (MIDO) problem. Solution of the MIDO problem is challenging, especially in a short time period required for online implementation. We develop a fast computational strategy to solve the integrated problem, ensuring its online applications. First, we decompose all dynamic models from the integrated problem by computing the optimal-value function of the transition cost dependent on the transition time. The optimal-value function is then discretized by optimizing a set of controller candidates offline. The optimal controller candidate generates the minimum transition cost for a given transition time. Finally, the integrated problem is transformed into a scheduling problem with controller selection. This is a mixed-integer fractional programming problem. We propose a global optimization method based on the Dinkelbach's algorithm to solve the resulting large-scale problem efficiently. The advantage of the proposed method is demonstrated by a mehyl methacrylate polymer manufacturing process.

UR - http://www.scopus.com/inward/record.url?scp=84883543629&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883543629&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84883543629

SN - 9781479901777

T3 - Proceedings of the American Control Conference

SP - 334

EP - 339

BT - 2013 American Control Conference, ACC 2013

T2 - 2013 1st American Control Conference, ACC 2013

Y2 - 17 June 2013 through 19 June 2013

ER -