Wastewater treatment plants (WWTPs) are responsible for attenuating the environmental impact that waste in effluent discharged to receiving waters has. As a consequence of this, new techniques for an effective control are valuable, not just for minimising this impact, but also for minimising operational costs by using energy efficiently. Such kinds of problems, with several objectives to fulfil (and usually in conflict), are termed as multi-objective problems. Within this context, multi-objective optimisation techniques have been shown to be a valuable tool in the control engineering field to tune different kinds of controller for complex systems. To accomplish this, a simultaneous optimisation approach is carried out, in order to approximate a set of Pareto-optimal solutions. Such solutions differ in the level of trade-off exhibited in two (or more) conflicting objectives. The multi-objective approach for controller tuning in one-input/one-output processes is well documented in the literature. Nevertheless, that is not the case of multivariable control. This fact is mainly due to the quantity of design objectives required to evaluate the multi-objective performance of several outputs. In this work, we elaborate a proposal to handle multi-objective problems for multivariable processes. Performance evaluation is performed (via simulation) in a multivariable benchmark for the PI control of an activated sludge process with nitrification and denitrification.
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