We have a photosynthetic plant, which is represented by a nonlinear model of type Monod, there are 3 states and 2 strong algebraic constraints given the complexity of these processes.
The plant is being constructed and is thought to use profiles optimal control but the matter is that we have a system in which it is impossible to measure the substrate through an analog sensor which therefore suggests the use of observers nonlinear .
I have experience in this, but the problem is that my type of technique requires that the system is in triangular form or canonical form of observability, which is relatively easy to obtain for a type of plants, but apparently for ours is complex , I think and I fancy to look for another estimation technique. What can you suggest?........... I open to colaborate
The mathematical molding you the attachment, we are validating this model experimentally here with students of biochemistry and mechatronics students are already orchestrating this, we will have the technical structure to implement the observer and control in short time.
The mathematical model consists of variable X denoting biomass, the substrate S and the light intensity I, C chlorophyll, and the rate mu nonlinear reaction. All other parameters are constant experimentally calibrated. The only variable light intensity control will be Ui.
The idea is to publish the results of the prototype and estimation, so that collaboration would that goal.