An iterative algorithm for dynamic optimization of systems with input-dependent hydraulic delays. Issue 18 (2018)

• Record Type: Journal Article
• Authors: Clerget, Charles-Henri; Grimaldi, Jean-Philippe; Chèbre, Mériam; Petit, Nicolas
• Is Part Of: IFAC-PapersOnLine. Volume 51:Issue 18(2018)
• Page Start: 7
• Page End: 12
• Publication Date: 2018
• Subjects: Optimal control -- time varying delays -- numerical methods -- convergence analysis; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2018.09.235
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this article, we propose a numerical algorithm capable of handling optimal control problems for a class of systems with input-dependent input hydraulic delays. Such delays are often observed in process industries. A careful look at the stationarity conditions allows us to derive an iterative algorithm approaching the solution of this problem by solving a series of simpler auxiliary instances. Interestingly, the algorithm is able to leverage state-of-the-art numerical optimization tools such as IPOPT. The proof of convergence is sketched, highlighting the relevance of the chosen algorithmic structure as a form of gradient descent in a functional space. The practical interest of the algorithm is evidenced on a numerical example, showing the desirable properties of convergence and the numerical efficiency.