ISSN: 2277-9655 [Sharma * et al., 7(4): April, 2018] Impact Factor: 5.164 IC™ Value: 3.00 CODEN: IJESS7 http: // www.ijesrt.com© International Journal of Engineering Sciences & Research Technology [349] IJESRT INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY DESIGN OF ROBUST YOULA-KUCERA CONTROLLER FOR SERVO MOTOR USING MULTI-OBJECTIVE GENETIC ALGORITHM Ms. Anshu Sharma *1 & Dr. Shiv Narayan 2 *1&2 Department of Electrical Engineering, PEC University of Technology, Chandigarh, India DOI: 10.5281/zenodo.1218607 ABSTRACT In this paper a novel Youla-Kucera parameterization based robust controller is designed using multi-objective genetic algorithm. The design approach is developed for SISO system and is implemented on servo system. The design approach developed achieves multiobjectives related to robustness and disturbance rejection KEYWORDS: Youla-Kucera parameterization , robust, disturbance rejection, servo system, multi-objective genetic algorithm I. INTRODUCTION In controller design, the Youla-Kucera Parameterization is useful as in it we can represent all the closed loop transfer functions in terms of Youla-Kucera parameter Q. This paper presents a methodology to address the problem of composite measure for multi-objective optimal performance of SISO systems. This technique solves H ∞ and time domain characteristic constraints problems of SISO systems, simultaneously. We get desired optimal multi-objective performance in the presence of conflicting objectives. II. YOULA-KUCERA PARAMETERIZATION OF STABILIZING CONTROLLERS Consider the plant of order n with  s G 0 as nominal transfer function and the SISO feedback configuration as shown in the Figure 1[1]. Figure 1: Control system consisting of a controller with fixed structure and a plant with model uncertainty  n n a b s G  0 (1) Let n a and n b are coprime polynomials and C ˆ is the proper stabilizing controller of order m with coprime polynomials n x ˆ and n y ˆ in a feedback framework,  n n x y s C ˆ ˆ ˆ  (2)