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Chapter 4. Explicit/Multi-Parametric MPC Control of PSA Systems The main objective of this study is to perform detailed studies towards the de- sign of a single-input/single-output (SISO) explicit/multi-parametric MPC con- troller for a complex PSA system, where the control variable product purity is manipulated by adsorption time. In the next section, the detailed description of a systematic framework [116] employed for rigorous design and validation of explicit/multi-parametric MPC (mp-MPC) controller is provided. 4.2 Explicit/Multi-parametric MPC Framework Figure 4.2, depicts the explicit/multi-parametric programming framework em- ployed to design the controller [116]. It comprises four main steps which are described as follows: Step 1 High fidelity model of PSA system is developed to represent the real PSA system as closely as possible. Step 2 Modern system identification techniques are explored to approximate the original high-level model developed in step 1 to low-level reduced models which are more suitable for controller purposes. Since the PSA system under study is too complex to be reduced to a simpler first-principles based model, and the fact that we are designing a controller for a SISO system, building linear (parametric) black box models seems to be a suitable approach. To better evaluate the effect of model reduction on the controller performance, a library of reduced models is generated, and their closed loop responses are compared while subjected to the same disturbance profile. Step 3 Latest multi-parametric algorithms [122, 119, 121, 120] are employed to formulate the mp-MPC controller design problem, based on the reduced models identified in step 2. Step 4 In-silico closed loop simulations are performed for validating the de- 67PDF Image | Operation and Control of Pressure Swing Adsorption Systems
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