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Darwish, N. (2015). DESIGN OF ROBUST PID CONTROLLERS FOR FIRST-ORDER PLUS TIME DELAY SYSTEMS BASED ON FREQUENCY DOMAIN SPECIFICATIONS. JES. Journal of Engineering Sciences, 43(No 4), 472-489. doi: 10.21608/jesaun.2015.115197
Noha Medhat Darwish. "DESIGN OF ROBUST PID CONTROLLERS FOR FIRST-ORDER PLUS TIME DELAY SYSTEMS BASED ON FREQUENCY DOMAIN SPECIFICATIONS". JES. Journal of Engineering Sciences, 43, No 4, 2015, 472-489. doi: 10.21608/jesaun.2015.115197
Darwish, N. (2015). 'DESIGN OF ROBUST PID CONTROLLERS FOR FIRST-ORDER PLUS TIME DELAY SYSTEMS BASED ON FREQUENCY DOMAIN SPECIFICATIONS', JES. Journal of Engineering Sciences, 43(No 4), pp. 472-489. doi: 10.21608/jesaun.2015.115197
Darwish, N. DESIGN OF ROBUST PID CONTROLLERS FOR FIRST-ORDER PLUS TIME DELAY SYSTEMS BASED ON FREQUENCY DOMAIN SPECIFICATIONS. JES. Journal of Engineering Sciences, 2015; 43(No 4): 472-489. doi: 10.21608/jesaun.2015.115197

DESIGN OF ROBUST PID CONTROLLERS FOR FIRST-ORDER PLUS TIME DELAY SYSTEMS BASED ON FREQUENCY DOMAIN SPECIFICATIONS

Article 1, Volume 43, No 4, July and August 2015, Page 472-489  XML PDF (753.57 K)
Document Type: Research Paper
DOI: 10.21608/jesaun.2015.115197
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Author
Noha Medhat Darwish
Electrical Engineering Dept., Faculty of Engineering, Assiut University, Assiut, Egypt
Abstract
This paper considers a design method for PID controllers to achieve the robustness to the uncertainty
of the time delay for the first-order plus time delay system (FOPTD). Initially, the stabilizing regions
of the PID controller gains are determined by a graphical stability method. Then, we specify two
simultaneous design specifications: gain margin and phase crossover frequency. These specifications
give a set of stabilizing PID controllers. To get a unique PID controller, we introduce an additional
constraint which is finding the smallest absolute value of the slope of the open-loop system
magnitude at the specified phase crossover frequency. The obtained PID controller is located in the
stability region, and also robust to system time delay variation due to the proposed constraint.
Keywords
First-Order Plus Time Delay (FOPTD) systems; Gain margin; Proportional-Integral- Derivative (PID) controllers; Robustness; Stabilizing region
Main Subjects
Electrical Engineering, Computer Engineering and Electrical power and machines engineering.
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