Optimal design of dynamic systems under uncertainty

Bi-level optimization for a dynamic multiobjective problem

“…Similarly to this approach and Deb and Sinha's algorithm, also Mohideen et al (1996b) attempted to find an optimal design on the upper level with feasible and efficient operation on the lower level. They proposed a framework for solving integrated design and control problems that included dynamic mathematical models similar to this approach.…”

“…These two last features are not taken into account to the same extent in this approach, though this optimization can also cope with some time-varying disturbances (Linnala et al 2010). The main difference between this approach and the algorithm of Mohideen et al (1996b) is that their solution procedure can only manage a single objective function.…”

“…For example, in chemical engineering, bi-level optimization is exploited to optimize the design and control of processes (Mohideen et al 1996b, Bansal et al 2000a, in electricity markets, it is applied to strategic pricing (Fampa et al 2008), and in supply chain problems, production-distribution interactions are studied (Calvete et al 2011). Bi-level optimization methodology was developed by Mohideen et al (1996b) who proposed an algorithm for solving integrated design and operation problems including dynamic mathematical models, uncertainty parameters, timevarying disturbances and robust stability criteria. Subsequently, Bansal et al (2000b) described both simultaneous and sequential solution procedures for bi-level problems.…”

Model-based multi-parametric programming strategies towards the integration of design, control and operational optimization

“…The contributing factor to that decision was primarily the solution of the optimization problem corresponding to the control problem within a design optimization formulation (e.g. [22,240]). Nevertheless, the consideration of a constrained optimization control method could contribute to overcome the shortcomings associated with PI and PID control (such as possible operational constraints violation).…”

Robust optimization framework for process parameter and tolerance design

“…Bahri et al (1996Bahri et al ( , 1997) present a methodology for considering flexibility and controllability in process design, where both steady-state and dynamic cases are considered. Mohideen et al (1996) approach the problem of optimal design for dynamic systems under uncertainty considering both flexibility and control aspects, with the best control structure being proposed through multiloop controllers.…”