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Linear matrix inequality-based robust model predictive control for time-delayed systems

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3 Author(s)
B. D. O. Capron ; Department of Chemical Engineering, University of Sao Paulo, Av. Prof. Luciano Gualberto, n. 380, trav. 3, 05508-900, Sao Paulo, Brazil ; M. T. Uchiyama ; D. Odloak

This work addresses the solution to the problem of robust model predictive control (MPC) of systems with model uncertainty. The case of zone control of multi-variable stable systems with multiple time delays is considered. The usual approach of dealing with this kind of problem is through the inclusion of non-linear cost constraint in the control problem. The control action is then obtained at each sampling time as the solution to a non-linear programming (NLP) problem that for high-order systems can be computationally expensive. Here, the robust MPC problem is formulated as a linear matrix inequality problem that can be solved in real time with a fraction of the computer effort. The proposed approach is compared with the conventional robust MPC and tested through the simulation of a reactor system of the process industry.

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IET Control Theory & Applications  (Volume:6 ,  Issue: 1 )