Robust order reduction using system balancing with respect of the method of singular perturbation
Апстракт
Several techniques for system order reduction are presented here, known from literature, all of them based on system balancing and some of them employing the method of singular perturbation. These techniques are compared with the two techniques known as the direct truncation and the balancing residualization method for efficiency in approximating the model in two cases: when the system is in the open loop and when the system is working in the closed loop with negative unity gain. All of these techniques for order reduction have the same robustness accuracy evaluated with respect to the H-infinity norm of the reduced-order system. A modification of these techniques preserves the exact DC gain as the original system, and produce from very good to excellent accuracy at low and medium frequencies. To illustrate the efficiency of the order-reduction techniques here presented, a real simulation example is given. The closed loop case simulation shows that high frequency dynamics of the origin...al system can be of more importance for more accurate approximation of the system behaviour in the closed loop even if the high frequency modes appear to be of less significance in the open loop.
Кључне речи:
system balancing / singular perturbations / robust order reduction / residualization / H-infinity methodИзвор:
WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with, 2006, 3, 353-358Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Škatarić, Dobrila AU - Ratković-Kovačević, Nada PY - 2006 UR - https://machinery.mas.bg.ac.rs/handle/123456789/562 AB - Several techniques for system order reduction are presented here, known from literature, all of them based on system balancing and some of them employing the method of singular perturbation. These techniques are compared with the two techniques known as the direct truncation and the balancing residualization method for efficiency in approximating the model in two cases: when the system is in the open loop and when the system is working in the closed loop with negative unity gain. All of these techniques for order reduction have the same robustness accuracy evaluated with respect to the H-infinity norm of the reduced-order system. A modification of these techniques preserves the exact DC gain as the original system, and produce from very good to excellent accuracy at low and medium frequencies. To illustrate the efficiency of the order-reduction techniques here presented, a real simulation example is given. The closed loop case simulation shows that high frequency dynamics of the original system can be of more importance for more accurate approximation of the system behaviour in the closed loop even if the high frequency modes appear to be of less significance in the open loop. C3 - WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with T1 - Robust order reduction using system balancing with respect of the method of singular perturbation EP - 358 SP - 353 VL - 3 UR - https://hdl.handle.net/21.15107/rcub_machinery_562 ER -
@conference{ author = "Škatarić, Dobrila and Ratković-Kovačević, Nada", year = "2006", abstract = "Several techniques for system order reduction are presented here, known from literature, all of them based on system balancing and some of them employing the method of singular perturbation. These techniques are compared with the two techniques known as the direct truncation and the balancing residualization method for efficiency in approximating the model in two cases: when the system is in the open loop and when the system is working in the closed loop with negative unity gain. All of these techniques for order reduction have the same robustness accuracy evaluated with respect to the H-infinity norm of the reduced-order system. A modification of these techniques preserves the exact DC gain as the original system, and produce from very good to excellent accuracy at low and medium frequencies. To illustrate the efficiency of the order-reduction techniques here presented, a real simulation example is given. The closed loop case simulation shows that high frequency dynamics of the original system can be of more importance for more accurate approximation of the system behaviour in the closed loop even if the high frequency modes appear to be of less significance in the open loop.", journal = "WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with", title = "Robust order reduction using system balancing with respect of the method of singular perturbation", pages = "358-353", volume = "3", url = "https://hdl.handle.net/21.15107/rcub_machinery_562" }
Škatarić, D.,& Ratković-Kovačević, N.. (2006). Robust order reduction using system balancing with respect of the method of singular perturbation. in WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with, 3, 353-358. https://hdl.handle.net/21.15107/rcub_machinery_562
Škatarić D, Ratković-Kovačević N. Robust order reduction using system balancing with respect of the method of singular perturbation. in WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with. 2006;3:353-358. https://hdl.handle.net/21.15107/rcub_machinery_562 .
Škatarić, Dobrila, Ratković-Kovačević, Nada, "Robust order reduction using system balancing with respect of the method of singular perturbation" in WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with, 3 (2006):353-358, https://hdl.handle.net/21.15107/rcub_machinery_562 .