We deduce a sufficient condition for the exponential (integral) turnpike property for infinite-dimensional generalized linear-quadratic optimal control problems in terms of structural properties of the control system, such as exponential stabilizability and detectability. The proof relies on the analysis of the exponential convergence of solutions to the differential Riccati equations to the algebraic counterpart, and on a necessary condition for exponential stabilizability in terms of a closed range test.
{"title":"A Semigroup Framework for Turnpike Property of Infinite-Dimensional Generalized Linear-Quadratic Problems","authors":"Zhuqing Li, Roberto Guglielmi","doi":"10.1049/cth2.70069","DOIUrl":"10.1049/cth2.70069","url":null,"abstract":"<p>We deduce a sufficient condition for the exponential (integral) turnpike property for infinite-dimensional generalized linear-quadratic optimal control problems in terms of structural properties of the control system, such as exponential stabilizability and detectability. The proof relies on the analysis of the exponential convergence of solutions to the differential Riccati equations to the algebraic counterpart, and on a necessary condition for exponential stabilizability in terms of a closed range test.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":"19 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.70069","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144934924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper addresses the critical control challenges inherent in doubly fed induction generator (DFIG) systems, which are pivotal components of modern wind energy conversion systems (WECS). These systems often face performance degradation due to their nonlinear dynamics, sensitivity to grid disturbances, and difficulty in achieving robust control under fluctuating operational conditions. To tackle these issues, this study proposes an innovative approach for optimizing proportional-integral-derivative (PID) controller parameters using the hiking optimization algorithm (HOA). Inspired by Tobler's walking function, HOA is integrated with an enhanced version of the Zwe-Lee Gaing (ZLG) objective function that incorporates penalty terms for overshoot, settling time, control effort, and abrupt signal variations. This enables a robust balance between transient and steady-state performance in dynamic environments. Extensive simulations validate the effectiveness of the HOA-optimized PID controller against five state-of-the-art met heuristic algorithms: starfish optimization algorithm, grey wolf optimizer (GWO), dragonfly algorithm (DA), flow direction algorithm (FDA), and sine-cosine algorithm (SCA). The results demonstrate that HOA achieves superior performance across all key metrics, including zero overshoot, rapid settling time (0.08922 s), and minimal steady-state error. Statistically, HOA maintains the highest reliability with a standard deviation of just 0.0013 over 30 independent trials. In the frequency domain, HOA outperforms competitors by achieving the highest phase margin (87.163) and gain margin (26.11 dB), ensuring robust stability. The proposed controller also excels in disturbance rejection and input tracking under varying conditions. These findings establish HOA as a powerful and reliable optimization tool for advanced PID control of DFIG systems, with broader applicability in industrial control systems requiring high performance and adaptability.
{"title":"Enhanced Hiking Optimization Algorithm for Robust PID Control in Doubly-Fed Induction Generator Systems for Wind Energy Applications","authors":"Davut Izci, Fatma Artun, Serdar Ekinci, Mohit Bajaj, Vojtech Blazek, Ievgen Zaitsev","doi":"10.1049/cth2.70071","DOIUrl":"10.1049/cth2.70071","url":null,"abstract":"<p>This paper addresses the critical control challenges inherent in doubly fed induction generator (DFIG) systems, which are pivotal components of modern wind energy conversion systems (WECS). These systems often face performance degradation due to their nonlinear dynamics, sensitivity to grid disturbances, and difficulty in achieving robust control under fluctuating operational conditions. To tackle these issues, this study proposes an innovative approach for optimizing proportional-integral-derivative (PID) controller parameters using the hiking optimization algorithm (HOA). Inspired by Tobler's walking function, HOA is integrated with an enhanced version of the Zwe-Lee Gaing (ZLG) objective function that incorporates penalty terms for overshoot, settling time, control effort, and abrupt signal variations. This enables a robust balance between transient and steady-state performance in dynamic environments. Extensive simulations validate the effectiveness of the HOA-optimized PID controller against five state-of-the-art met heuristic algorithms: starfish optimization algorithm, grey wolf optimizer (GWO), dragonfly algorithm (DA), flow direction algorithm (FDA), and sine-cosine algorithm (SCA). The results demonstrate that HOA achieves superior performance across all key metrics, including zero overshoot, rapid settling time (0.08922 s), and minimal steady-state error. Statistically, HOA maintains the highest reliability with a standard deviation of just 0.0013 over 30 independent trials. In the frequency domain, HOA outperforms competitors by achieving the highest phase margin (87.163) and gain margin (26.11 dB), ensuring robust stability. The proposed controller also excels in disturbance rejection and input tracking under varying conditions. These findings establish HOA as a powerful and reliable optimization tool for advanced PID control of DFIG systems, with broader applicability in industrial control systems requiring high performance and adaptability.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":"19 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.70071","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144927603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Najoua Nafie, Abderrahim El-Amrani, Ahmed El Hajjaji, Noreddine Chaibi, Bensalem Boukili
This paper presents a novel and efficient analysis based on linear matrix inequalities (LMIs) to derive optimized reduced models that preserve dissipativity for discrete-time periodic systems described by the two-dimensional (2D) Roesser model. To simplify stability analysis, we assume that the horizontal and vertical directions of the augmented system share the same period. By leveraging periodic Lyapunov functionals, we establish less conservative conditions that guarantee the existence of a 2D periodic reduced model that maintains the fundamental properties of the full-order system, ensuring asymptotic stability and