Optimal control of a CSTR process

Abstract

-Designing an effective criterion and learning algorithm for find the best structure is a major problem in the control design process. In this paper, the fuzzy optimal control methodology is applied to the design of the feedback loops of an Exothermic Continuous Stirred Tank Reactor system. The objective of design process is to find an optimal structure/gains of the Robust and Optimal Takagi Sugeno Fuzzy Controller (ROFLC). The control signal thus obtained will minimize a performance index, which is a function of the tracking/regulating errors, the quantity of the energy of the control signal applied to the system, and the number of fuzzy rules. The genetic learning is proposed for constructing the ROFLC. The chromosome genes are arranged into two parts, the binary-coded part contains the control genes and the real-coded part contains the genes parameters representing the fuzzy knowledge base. The effectiveness of this chromosome formulation enables the fuzzy sets and rules to be optimally reduced. The performances of the ROFLC are compared to these found by the traditional PD controller with Genetic Optimization (PD_GO). Simulations demonstrate that the proposed ROFLC and PD_GO has successfully met the design specifications.

Optimal Feedback Synthesis and Minimal Time Function for the Bioremediation of Water Resources with Two Patches

“…with δ 2 = 0 for any optimal controlũ ⋆ given by Proposition 1. Then, one obtains the equality (24).…”

An integrated state space partition and optimal control method of multi-model for nonlinear systems based on hybrid systems

“…The CSTR process was considered by [28,42,43], which consists of an exothermic, first-order, irreversible reaction in a constant volume reactor, and can be modeled by the following equations:…”

Modelling of Biological Decontamination of a Water Resource in Natural Environment and Related Feedback Strategies

“…The operation optimization of fed-batch or continuously-stirred bioreactors has received a great attention in the literature [1,1,2,4,10,11,15,16]. The particularity of the present problem comes from the constraint that no biomass has to be introduced in the contaminated resource.…”