Discrete-Time System Conditional Optimization in the Parameter Space with Nonzero Initial Conditions
Apstrakt
The paper presents a new approach to the design of the classical PD controller for the plant in the closed loop control system. Proposed controller has two unknown adjustable parameters which are designed by the algebraic method in the two dimensional parameter space, by using the newly discovered characteristic polynomial of the row nondegenerate full transfer function matrix. The system relative stability, in regard to the chosen damping coefficient is achieved. The optimality criterion is the minimal value of the performance index and sum of squared error is taken as an objective function. The output error used in the performance index is influenced by all actions on the system at the same time: by nonzero initial conditions and by nonzero inputs. In the classical approach the output error is influenced only by nonzero inputs. Experimental results confirm that by taking into account nonzero initial conditions, an optimal solution is obtained, which is not the case with the classical... method where optimization is performed at zero initial conditions.
Ključne reči:
two parameters synthesis / relative stability / nonzero initial conditions / full transfer function matrix / discrete-time control systems / conditional optimizationIzvor:
Tehnički vjesnik, 2022, 29, 1, 200-207Izdavač:
- Univ Osijek, Tech Fac, Slavonski Brod
Finansiranje / projekti:
- Ministarstvo nauke, tehnološkog razvoja i inovacija Republike Srbije, institucionalno finansiranje - 200105 (Univerzitet u Beogradu, Mašinski fakultet) (RS-MESTD-inst-2020-200105)
- Razvoj metodologija za povećanje radne sposobnosti, pouzdanosti i energetske efikasnosti mašinskih sistema u energetici (RS-MESTD-Technological Development (TD or TR)-35029)
- Inovativni pristup u primeni inteligentnih tehnoloških sistema za proizvodnju delova od lima zasnovan na ekološkim principima (RS-MESTD-Technological Development (TD or TR)-35004)
DOI: 10.17559/TV-20191031145233
ISSN: 1330-3651
WoS: 000739663500026
Scopus: 2-s2.0-85122154442
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Zarić, Vladimir AU - Bučevac, Zoran M. AU - Jovanović, Radiša PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3771 AB - The paper presents a new approach to the design of the classical PD controller for the plant in the closed loop control system. Proposed controller has two unknown adjustable parameters which are designed by the algebraic method in the two dimensional parameter space, by using the newly discovered characteristic polynomial of the row nondegenerate full transfer function matrix. The system relative stability, in regard to the chosen damping coefficient is achieved. The optimality criterion is the minimal value of the performance index and sum of squared error is taken as an objective function. The output error used in the performance index is influenced by all actions on the system at the same time: by nonzero initial conditions and by nonzero inputs. In the classical approach the output error is influenced only by nonzero inputs. Experimental results confirm that by taking into account nonzero initial conditions, an optimal solution is obtained, which is not the case with the classical method where optimization is performed at zero initial conditions. PB - Univ Osijek, Tech Fac, Slavonski Brod T2 - Tehnički vjesnik T1 - Discrete-Time System Conditional Optimization in the Parameter Space with Nonzero Initial Conditions EP - 207 IS - 1 SP - 200 VL - 29 DO - 10.17559/TV-20191031145233 ER -
@article{ author = "Zarić, Vladimir and Bučevac, Zoran M. and Jovanović, Radiša", year = "2022", abstract = "The paper presents a new approach to the design of the classical PD controller for the plant in the closed loop control system. Proposed controller has two unknown adjustable parameters which are designed by the algebraic method in the two dimensional parameter space, by using the newly discovered characteristic polynomial of the row nondegenerate full transfer function matrix. The system relative stability, in regard to the chosen damping coefficient is achieved. The optimality criterion is the minimal value of the performance index and sum of squared error is taken as an objective function. The output error used in the performance index is influenced by all actions on the system at the same time: by nonzero initial conditions and by nonzero inputs. In the classical approach the output error is influenced only by nonzero inputs. Experimental results confirm that by taking into account nonzero initial conditions, an optimal solution is obtained, which is not the case with the classical method where optimization is performed at zero initial conditions.", publisher = "Univ Osijek, Tech Fac, Slavonski Brod", journal = "Tehnički vjesnik", title = "Discrete-Time System Conditional Optimization in the Parameter Space with Nonzero Initial Conditions", pages = "207-200", number = "1", volume = "29", doi = "10.17559/TV-20191031145233" }
Zarić, V., Bučevac, Z. M.,& Jovanović, R.. (2022). Discrete-Time System Conditional Optimization in the Parameter Space with Nonzero Initial Conditions. in Tehnički vjesnik Univ Osijek, Tech Fac, Slavonski Brod., 29(1), 200-207. https://doi.org/10.17559/TV-20191031145233
Zarić V, Bučevac ZM, Jovanović R. Discrete-Time System Conditional Optimization in the Parameter Space with Nonzero Initial Conditions. in Tehnički vjesnik. 2022;29(1):200-207. doi:10.17559/TV-20191031145233 .
Zarić, Vladimir, Bučevac, Zoran M., Jovanović, Radiša, "Discrete-Time System Conditional Optimization in the Parameter Space with Nonzero Initial Conditions" in Tehnički vjesnik, 29, no. 1 (2022):200-207, https://doi.org/10.17559/TV-20191031145233 . .