Systems and Methods for Optimization of A Cross Flow Membrane Filtration Device

A method for optimizing a filtration process performed at a cross flow membrane filtration (CFMF) device which separates a flow of feed stock and a flow of water into an outlet retentate flow and an outlet permeate flow, the method performed at a control system communicatively coupled to the CFMF device, the method comprising:

• obtaining a plurality of controlled output values associated with the filtration process performed at the CFMF device, wherein the plurality of controlled output values comprise:
• (i) a product concentration value indicative of concentration of a target component of the feed stock in the outlet product flow, and (ii) a total concentration value indicative of concentration of components in the outlet product flow;
• obtaining a plurality of disturbances associated with the CFMF device;
• obtaining a control model of the CFMF device, wherein the control model estimates controlled output values from input values according to a state of the control model and the plurality of disturbances;
• updating the state of the control model based on the plurality of controlled output values;
• obtaining a plurality of target controlled output values;
• determining a plurality of input values which optimize a first difference between the plurality of target controlled output values and a plurality of estimated controlled output values, wherein the plurality of estimated controlled output values are determined from the control model using the plurality of input values;
• and
• causing the plurality of input values to be output to the CFMF device thereby decreasing a second difference between the plurality of target controlled output values and a future plurality of controlled output values.

A computer-readable medium storing instructions which, when executed by a control system comprising one or more processors, cause the system to optimize a filtration process performed at a cross flow membrane filtration (CFMF) device which separates a flow of feed stock and a flow of water into an outlet retentate flow and an outlet permeate flow, the method performed at a control system by causing the control system to perform steps comprising:

• obtaining a plurality of controlled output values associated with the filtration process performed at the CFMF device, wherein the plurality of controlled output values comprise:
• (i) a product concentration value indicative of concentration of a target component of the feed stock in the outlet product flow, and (ii) a total concentration value indicative of concentration of components in the outlet product flow;
• obtaining a plurality of disturbances associated with the CFMF device;
• obtaining a control model of the CFMF device, wherein the control model estimates controlled output values from input values according to a state of the control model and the plurality of disturbances;
• updating the state of the control model based on the plurality of controlled output values;
• obtaining a plurality of target controlled output values;
• determining a plurality of input values which optimize a first difference between the plurality of target controlled output values and a plurality of estimated controlled output values, wherein the plurality of estimated controlled output values are determined from the control model using the plurality of input values;
• and
• causing the plurality of input values to be output to the CFMF device thereby decreasing a second difference between the plurality of target controlled output values and a future plurality of controlled output values.