Pole placement based design of PIDC controller under constraint on robustness
Abstract
This paper presents an effective design method of PID controller with series differential compensator ie. PIDC controller. The adjustable parameters of a PIDC controller are:
proportional gain kp, integral gain ki, derivative gain kd, the second order derivative gain kh and filter time constant Tf. The proposed design procedure is based on pole placement to
approximately obtain dynamics of the closed loop system defined with the poles of the criterion test function which has optimal performance in sense of minimal settling time without overshoot.
The design goal is to obtain good load disturbance response with constraint on robustness, so parameter kp is selected to guarantee desired robustness given in the form of closed loop maximum sensitivity Ms and considering sensitivity to the measurement noise Mn. This technique is applicable to a wide range of transfer functions: stable and unstable, with and without time-delay,
rational and non-rational and those describing distributed pa...rameters. Validity of a proposed method is verified through a series of numerical simulations of processes typically encountered
in industry.
Keywords:
PIDC controller / Robustness / Performance / Pole spectrum / Load disturbance rejectionSource:
Zbornik radova 16th International Symposium INFOTEH-JAHORINA, 22-24 March 2017., 2017, 664-668Publisher:
- Univerzitet u Istočnom Sarajevu, Elektrotehnički fakultet
Funding / projects:
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
- Energy efficiency Improvement of Hydro and Thermal power plants in EPS by development and implementation of power electronics based regulation and automation equipment (RS-MESTD-Technological Development (TD or TR)-33020)
- Intelligent Control Systems of the Air-conditioning for the Purpose of Achieving Energy Efficient Exploitation Regimes in the Complex Operating Conditions (RS-MESTD-Technological Development (TD or TR)-33047)
- Inteligent SCADA system for early fault detection and error compensation in processes and equipment in process industry (RS-MESTD-Technological Development (TD or TR)-32018)
- Inteligent SCADA system for early fault detection and error compensation in processes and equipment in process industry (RS-MESTD-Technological Development (TD or TR)-32018)
- Development of methods and techniques for early diagnostic of cervical, colon, oral cavity cancer and melanoma based on a digital image and excitation-emission spectrum in visible and infrared domain (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Bošković, Marko AU - Rapaić, Milan AU - Šekara, Tomislav AU - Lazarević, Mihailo AU - Mandić, Petar PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4164 AB - This paper presents an effective design method of PID controller with series differential compensator ie. PIDC controller. The adjustable parameters of a PIDC controller are: proportional gain kp, integral gain ki, derivative gain kd, the second order derivative gain kh and filter time constant Tf. The proposed design procedure is based on pole placement to approximately obtain dynamics of the closed loop system defined with the poles of the criterion test function which has optimal performance in sense of minimal settling time without overshoot. The design goal is to obtain good load disturbance response with constraint on robustness, so parameter kp is selected to guarantee desired robustness given in the form of closed loop maximum sensitivity Ms and considering sensitivity to the measurement noise Mn. This technique is applicable to a wide range of transfer functions: stable and unstable, with and without time-delay, rational and non-rational and those describing distributed parameters. Validity of a proposed method is verified through a series of numerical simulations of processes typically encountered in industry. PB - Univerzitet u Istočnom Sarajevu, Elektrotehnički fakultet C3 - Zbornik radova 16th International Symposium INFOTEH-JAHORINA, 22-24 March 2017. T1 - Pole placement based design of PIDC controller under constraint on robustness EP - 668 SP - 664 UR - https://hdl.handle.net/21.15107/rcub_machinery_4164 ER -
@conference{ author = "Bošković, Marko and Rapaić, Milan and Šekara, Tomislav and Lazarević, Mihailo and Mandić, Petar", year = "2017", abstract = "This paper presents an effective design method of PID controller with series differential compensator ie. PIDC controller. The adjustable parameters of a PIDC controller are: proportional gain kp, integral gain ki, derivative gain kd, the second order derivative gain kh and filter time constant Tf. The proposed design procedure is based on pole placement to approximately obtain dynamics of the closed loop system defined with the poles of the criterion test function which has optimal performance in sense of minimal settling time without overshoot. The design goal is to obtain good load disturbance response with constraint on robustness, so parameter kp is selected to guarantee desired robustness given in the form of closed loop maximum sensitivity Ms and considering sensitivity to the measurement noise Mn. This technique is applicable to a wide range of transfer functions: stable and unstable, with and without time-delay, rational and non-rational and those describing distributed parameters. Validity of a proposed method is verified through a series of numerical simulations of processes typically encountered in industry.", publisher = "Univerzitet u Istočnom Sarajevu, Elektrotehnički fakultet", journal = "Zbornik radova 16th International Symposium INFOTEH-JAHORINA, 22-24 March 2017.", title = "Pole placement based design of PIDC controller under constraint on robustness", pages = "668-664", url = "https://hdl.handle.net/21.15107/rcub_machinery_4164" }
Bošković, M., Rapaić, M., Šekara, T., Lazarević, M.,& Mandić, P.. (2017). Pole placement based design of PIDC controller under constraint on robustness. in Zbornik radova 16th International Symposium INFOTEH-JAHORINA, 22-24 March 2017. Univerzitet u Istočnom Sarajevu, Elektrotehnički fakultet., 664-668. https://hdl.handle.net/21.15107/rcub_machinery_4164
Bošković M, Rapaić M, Šekara T, Lazarević M, Mandić P. Pole placement based design of PIDC controller under constraint on robustness. in Zbornik radova 16th International Symposium INFOTEH-JAHORINA, 22-24 March 2017.. 2017;:664-668. https://hdl.handle.net/21.15107/rcub_machinery_4164 .
Bošković, Marko, Rapaić, Milan, Šekara, Tomislav, Lazarević, Mihailo, Mandić, Petar, "Pole placement based design of PIDC controller under constraint on robustness" in Zbornik radova 16th International Symposium INFOTEH-JAHORINA, 22-24 March 2017. (2017):664-668, https://hdl.handle.net/21.15107/rcub_machinery_4164 .