Abstract
This work presents an approach to solve the Discrete-Time Time Invariant Linear Quadratic Optimal Control problem which minimizes a performance index (either minimum time and/or minimum energy). The design approach presented in this paper transforms the LQ problem into a combinatorial optimization problem and use the Simulated Annealing algorithm to perform the optimization part. In addition, a non-conventional performance index is proposed. Some SISO and MIMO systems are tested with this approach. Their results proved the approach to be an excellent option to find a solution to the problem.
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References
Salgado, M.E., Goodwin, G.C., Graebe, S.F.: Control System Design. Prentice- Hall, Englewood Cliffs (2001)
Grimble, M.J., Johnson, M.A.: Optimal Control And Stochastic Estimation: Theory and Applications, vol. 1. John Wiley and Sons, Chichester (1988)
Malhorta, A., Oliver, J.H., Tu, W.: Synthesis of spatially and intrinsically, constrained curves using simulated annealing. ASME Advances in Design Automation DE(32), 145–155 (1991)
Martínez-Alfaro, H., Flugrad, D.R.: Collision-free path planning of an object using bsplines and simulated annealing. In: IEEE International Conference on Systems, Man, and Cybernetics (1994)
Martínez-Alfaro, H., Ulloa-Pérez, A.: Computing near optimal paths in c-space using simulated annealing. In: ASME Design Engineering Technical Conference/Mechanisms Conference (1996)
Ogata, K.: Discrete-time Control Systems, 1st edn. Prentice-Hall, Englewood Cliffs (1987)
Ogata, K.: Sistemas de Control en Tiempo Discreto, 2nd edn. Pearson Educación, London (1995)
Jaime Alberto Steffanoni Palacios. Diseño de sistemas de control óptimo en espacio de estados utilizando algoritmos gen´eticos. Master’s thesis, ITESM, Campus Monterrey, 1998.
Rutenbar, R.: Simulated annealing algorithms: An overview. IEEE Circuit and Devices, 19–26 (Janauary 1989)
Santina, M.S., Stubberud, A.R., Hostetter, G.H.: Digital Control System Design, 2nd edn. Sanders College Publishing (1994)
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© 2004 Springer-Verlag Berlin Heidelberg
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Martínez-Alfaro, H., Ruiz-Cruz, M.A. (2004). Using Simulated Annealing for Discrete Optimal Control Systems Design. In: Lemaître, C., Reyes, C.A., González, J.A. (eds) Advances in Artificial Intelligence – IBERAMIA 2004. IBERAMIA 2004. Lecture Notes in Computer Science(), vol 3315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30498-2_93
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DOI: https://doi.org/10.1007/978-3-540-30498-2_93
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