Testing the quality of control algorithms for complex dynamic systems

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• 作者：A. V. Lebedev (16160)
  S. S. Lemak (16160)
  
• 刊名：Moscow University Mechanics Bulletin
• 出版年：2013
• 出版时间：May 2013
• 年：2013
• 卷：68
• 期：3
• 页码：73-75
• 全文大小：297KB
• 参考文献：1. V. V. Aleksandrov and S. S. Lemak, “Quality Testing of Semi-Automatic Stabilization for an Aerospace Flight as the Third Control Level of a Dynamic Simulator,-in / Theoretical Mechanics (Fizmatlit, Moscow, 2003), pp. 201-10.
  2. S. S. Lemak, “Accuracy Testing of Docking a Rescue System for Astronauts,-Aerokosm. Priborostr., No. 5, 38-1 (2004).
  3. V. V. Aleksandrov, “Quality Testing of Nonsteady Motion Stabilization,-Vestn. Mosk. Univ. Ser. 1: Mat. Mekh., No. 3, 51-4 (1997) [Moscow Univ. Mech. Bull. 52 (3), 14-7 (1997)].
  4. V. V. Aleksandrov, L. Gerra, I. N. Kalenova, and A. V. Trifonova, “Minimax Stabilization and Maximin Testing of Linear Control Systems,-Vestn. Mosk. Univ. Ser. 1: Mat. Mekh., No. 5, 58-5 (1999) [Moscow Univ. Mech. Bull. 54 (5), 7-4 (1999)].
  5. V. A. Sadovnichii, V. V. Aleksandrov, A. V. Lebedev, and S. S. Lemak, “Mixed Strategies in Maximin Testing of Robust Stabilization Performance,-Differ. Uravn. 45(12), 1787-793 (2009) [Differ. Equ. 45 (12), 1823-829 (2009)].
  6. R. Isaaks, / Differential Games (Wiley, New York, 1965; Mir, Moscow, 1967).
  7. L. S. Pontryagin, “Linear Differential Games. I,-Dokl. Akad. Nauk SSSR 174(6), 1278-280 (1967) [Sov. Math. Dokl. 8 (6), 769-71 (1967)].
  8. L. S. Pontryagin, “Linear Differential Games. II,-Dokl. Akad. Nauk SSSR 175(4), 764-66 (1967) [Sov. Math. Dokl. 8 (4), 910-12 (1967)].
  9. N. N. Krasovskii, / Dynamic System Control (Nauka, Moscow, 1985) [in Russian].
  10. N. N. Krasovskii and A. I. Subbotin, / Positional Differential Games (Nauka, Moscow, 1974) [in Russian].
  11. V. V. Aleksandrov, L. Yu. Blazhennov-Mikulich, I. M. Gutieres-Aries, and S. S. Lemak, “Maximin Testing of Stabilization Accuracy, and Saddle Points in Geometric Games,-Vestn. Mosk. Univ. Ser. 1: Mat. Mekh., No. 1, 43-0 (2005) [Moscow Univ. Mech. Bull. 60 (1), 1- (2005)].
  12. V. A. Sadovnichii, V. V. Aleksandrov, A. V. Lebedev, and S. S. Lemak, “Maximin Testing of Control Quality in a Rescue System for Astronauts,-in / Mathematical Problems of Cybernetics (Fizmatlit, Moscow, 2007), Issue 16, pp. 23-0.
  13. V. A. Sadovnichii, V. V. Aleksandrov, and S. S. Lemak, “Testing the Stabilization Accuracy of Stochastic Controlled Systems,-Differ. Uravn. 35(5), 678-85 (1999) [Differ. Equ. 35 (5), 683-90 (1999)].
  14. V. V. Aleksandrov, A. V. Lebedev, and S. S. Lemak, “Mixed Testing Strategies in the Quality Check Problem for Stabilization Algorithms,-Vestn. Mosk. Univ. Ser. 1: Mat. Mekh., No. 3, 50-3 (2009) [Moscow Univ. Mech. Bull. 64 (3), 57-0 (2009)].
  
• 作者单位：A. V. Lebedev (16160)
  S. S. Lemak (16160)
  
  16160. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia
  

文摘

A guaranteed approach to testing the quality of control algorithms for complex dynamic systems is considered. The worst perturbations are formed in the process of solving a special differential game problem. An objective quality index is calculated for the proposed control algorithm even in the case when this algorithm is considered as a “blackbox-