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Multi-objective optimisation of restricted complexity controllers. (English) Zbl 1293.93126

Summary: Restricted complexity controller design for the active suspension benchmark problem call for papers EJC special issue on Design and Optimisation of Restricted Complexity Controllers. Website http://www-ejc.ensieg.inpg.fr/, 2002 is considered. The control design specifications of the benchmark is firstly recast into a mixed \(H_\infty/l_1\) optimisation problem, which is solved via a convex optimisation approach. A globally optimal Pareto curve is produced via the optimisation. It presents the limits of performance and is served as a reference for restricted complexity controller design. Then, controllers with different complexity are designed via a direct optimisation approach. The performance indices of these controllers are compared with the global Pareto curve. Based on the comparison, the controller with three parameters is determined as the one achieving acceptable performance with lowest complexity. Experimental results on the real system confirm the satisfactory performance achieved by the controller.

MSC:

93B11 System structure simplification
90C29 Multi-objective and goal programming
90C25 Convex programming

Software:

Simulink; QDES
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Full Text: DOI Link

References:

[1] Call for papers EJC special issue on Design and Optimisation of Restricted Complexity Controllers. Web site http://www.ejc.ensieg.inpg.fr/; Call for papers EJC special issue on Design and Optimisation of Restricted Complexity Controllers. Web site http://www.ejc.ensieg.inpg.fr/
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