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Multivariable fuzzy PID controller using convex optimization and positive real lemma for nonlinear systems | ||
| Iranian Journal of Fuzzy Systems | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 مهر 1405 اصل مقاله (1.66 M) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2026.53636.9494 | ||
| نویسندگان | ||
| Milad Ataie* 1؛ Mehdi Edrisi2 | ||
| 1Department of Electrical engineering, University of Isfahan. Iran. | ||
| 2Department of Electrical Engineering, University of Isfahan, Iran. | ||
| چکیده | ||
| In this study, an algorithm is proposed for the design of a multivariable fuzzy PID controller using convex optimization and linear matrix inequality (LMI) constraints. The considered fuzzy system is of the Takagi–Sugeno type and consists of subsystems based on PID controllers. The parameters of these subsystems are optimized to achieve desirable performance. The positive real lemma is employed to guarantee the stability of the overall fuzzy system. One of the most significant applications of this approach lies in the control of industrial robots. Since robotic systems are typically multivariable in nature, the utilization of advanced controllers such as multivariable fuzzy PID controllers can play a crucial role in enhancing their performance. In this work, the proposed control scheme will be implemented both on a simulation example and practical robot manipulator. | ||
| کلیدواژهها | ||
| Proportional؛ derivative؛ integral controller؛ fuzzy logic؛ MIMO fuzzy PID؛ multivariable system؛ robot manipulator؛ convex optimization based LMI؛ positive real systems | ||
| مراجع | ||
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