Bordeneuve-Guibe_2512 - Proceedings of the 1998 IEEE...

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Proceedings of the 1998 IEEE International Conference on Control Applications Trieste, Italy 1-4 September 1998 WPOl ultivariable Predictive Control : Application to an Industrial Test Stand' Cyril Vaucoret, Joel Bordeneuve-Guib6 ENSICA - Dkpartement Avionique et Syst2mes I, place Emile Blouin - 31056 Toulouse Cedex - France Tel.: t 33 5 61618635 Fax : +33 5 61618686 e-mail : [email protected] Abstract This paper reports a theoretical extension of Multivariable Predictive Control (MPC). The robustness of an augmented algorithm (a-MPC) for a general M-input N-output system is explored. It is shown that an extra parameter a in the criterion function can reduce the H_-norm of the multivariable sensitivity function, thus improving the disturbance-rejection properties of the closed loop system. This control law is finally applied to a test stand for air conditioning equipments of aircrafts with a great improvement of performances regarding the former regulation. figure 1 : The industrial test stand 1. Introduction One of the fundamental difficulties encountered throughout process control is the presence of time delay (often referred to as 'dead time'). This time delay is often a result of flow-rate of material through a process. The consideration of this problem led to the development of predictive control strategies in the eighties. Such algorithms are now widely used in the industrial environment. Many successful applications have been reported in literature : for instance by Clarke [3], Soeterboek [l I] and Richalet [9]. Based upon the numerous theoretical works about advanced predictive control which have been conducted at ENSICA (Vaucoret et al. [12], Aymes et al. [l]), a Multivariable Predictive Controller (MPC) has been developed to regulate a general M-input N-output system in a stochastic framework. This MPC algorithm has been successfully applied et al. [13]) to an industrial test stand for air conditioning systems (figure 1). The a-MPC controller proposed in this paper is a robust extension of this initial control law which improves the disturbance-rejection properties of the closed loop system, reducing the H_-norm of the multivariable sensitivity function with an extra parameter a. This augmented algorithm has been chosen to carry out the new tests on the industrial process. Experimental recordings have confirmed the great improvement of performances with this new approach regarding the former PID (Proportional Integral and Differential) regulation, and are reported in this paper. The content is organized as follows. Section 2 introduces the initial Multivariable Predictive Controller (MPC). In Section 3 the extended a-MPC algorithm is described and the influence of a on the robustness of the closed- loop system is analyzed through H_-approach. Finally, Section 4 reports the implementation results of the a-MPC control law on the real test stand.
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Bordeneuve-Guibe_2512 - Proceedings of the 1998 IEEE...

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