Solution of a mixed sensitivity problem with optimized weights and time performance index for a robust servo velocity and position controller

• Autorzy: Sarjaš A. , Chowdhury A.

Warianty tytułu

PL

Zastosowanie optymalizacji współczynników wagowych funkcji czułości oraz indeksu skuteczności w czasie w sterowaniu serwomechanizmem

• Języki publikacji: EN

Abstrakty

EN

Robustness of servo control systems in terms of uncertainties and disturbances is still an open issue in feedback control. The concept of an uncertain LTI system is essential for robust control. Model uncertainty arises when system parameters are not precisely known, or can vary over a given range. The article presents a robust velocity and position controller for a servo system with a DC-motor. The aim of the work is to synthesize a feedback control structure with a controller in the direct branch, with which the robustness and stability performance will be ensured. For the design procedure a mixed-sensitivity approach with an additional time performance index is used. The time performance index introduces a subsequent criterion in the mixed sensitivity approach to ensure accurate dynamic performance of the feedback loop. For simplification of the controller structure the evolution optimization will be employed. The control strategy has been tested on real system with use of TI-DSP microcontroller.

PL

W artykule opisano metodę sterowania pozycją i prędkością w zamkniętej pętli dla serwomechanizmu z silnikiem DC. Dla zapewnienia niezawodności i stabilności algorytmu zastosowano optymalizację typu mixed-sensitivity z dodatkowym wskaźnikiem skuteczności w czasie. W celu uproszczenia struktury sterowania zastosowana zostanie także optymalizacja ewolucyjna. Przeprowadzono badania eksperymentalne.

Słowa kluczowe

EN

robust stability; uncertainty modelling; position controller

PL

stabilność; system zegarowy; model niepewności

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2013
• Tom: R. 89, nr 5
• Strony: 205--208
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Sarjaš A.

• University of Maribor

autor

Chowdhury A.

• University of Maribor

Bibliografia

• [1] L jung L.,System Identification Theory for the user; second edition, Prentice-Hall, New Jersey (1999).
• [2] John Doyle, Bruce Francis, Allen Tannenbaum Feedback Control Theory (1990).
• [3] Kemin Zhou, John Doyle, Essentials of robust control, New Jersey (1998).
• [4] Lundstrom P.,Skogestad S., Wang Z-Q, Uncertainty weight selection for H and mu control methods, Proceedings of the 30th IEEE Conference on Decision and Control (1991), 2, 1537-1542.
• [5] Beaven R.W., Wright M.T., Seaward D.R., Weighting Function Selection in The H Design Process, Control Engineering Practice (1996), Vol. 4, No. 5, 625-633
• [6] Gao Z., Wang X., Performance sensitivity analysis for linera systems with five types of structured uncertainy, System Analysis Modelling Simulation (2002), Vol. 42, No. 10, 1537-1547.
• [7] Chowdhury A, Sarjas A., Svecko R., Robust controller synthesis with consideration of performance criteria, Optimal control Application and Methods (2011),Vol 6., No. 41, 700-719.
• [8] Sarjas A., Svecko R., Chowdhury A., Strong stabilization servo controller with optimization of preformance criteria, ISA Transactions (2011), Vol. 3, No. 50, 419-431
• [9] Igrec D., Sarjas A., Chowdhury A., QFT-based robust velocity controller design for a SW-DC motor. Prz. Elektrotech. (2011), Vol. 87, No. 3, 81-84.
• [10] Storn R., Price K., Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces, Journal of Global Optimization (1997) Vol.11, 341-359.
• [11] Bikash P., Chaudhuri B., Robust control in power system, Springer, New York (2005).
• [12] Mackenroth U., Robust Control System: Theory and Case Studies, Springer, Berlin, (2004)
• [13] S. Gümüssoy, H. Özbay, Remarks on Strong stabilization and Stable H∞ Controller Design, IEEE Transactions on automatic control (2005), Vol. 50, No. 12, 2083-2087.
• [14] Storn R., Price K., Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces, Journal of Global Optimization (1997), Vol. 11, 341-359.
• [15] C.C. Hsu, S.C. Chang, C.Y. Yu, Tolerance design of robust controllers for uncertain interval systems based on evolutionary algorithms, IET Control Theory and Applications (2007), Vol.1, No. 1, 244-252