Stability and control of uncertain ICPT system considering time-varying delay and stochastic disturbance. (English) Zbl 1447.93275
Summary: This paper studies the problem of robust exponential stability for uncertain inductively coupled power transfer (ICPT) system considering time-varying delay and stochastic disturbance. Firstly, the model of the system is set up via a time domain method. Secondly, based on the Newton-Leibnitz formula and stability theory, a new stability analysis of the ICPT system with uncertain parameter and time-varying delay or stochastic disturbance is presented respectively. The proposed approach can be applied for analyzing other similar systems, and the obtained results can be also used for estimating convergence rate and region of stability. Thirdly, based on the Lyapunov-Krasovskii functional (LKF) approach and the stochastic stability theory, robust exponential stability criteria in the mean square are derived and the relevant controller is designed. The proposed method can further reduce conservatism. Finally, the correctness and effectiveness of the obtained results are verified by an example and simulations indicate that the larger time delay, the slower attenuation. Simultaneously, the uncertain parameter and the stochastic disturbance have a significant influence on the region of stability. In addition, in respect of reducing conservatism, the effectiveness of the proposed method is demonstrated by comparing with other papers. In addition, the designed controller shows better performance for the ICPT system with the parameter uncertainty, the time-varying delay, and the stochastic disturbance.
MSC:
| 93D09 | Robust stability |
| 93D23 | Exponential stability |
| 93C41 | Control/observation systems with incomplete information |
| 93C43 | Delay control/observation systems |
| 93E15 | Stochastic stability in control theory |
Keywords:
inductively coupled power transfer (ICPT) system; parameter uncertainty; robust exponential stability; stochastic disturbance; time delayReferences:
| [1] | FareqM, FitraM, IrwantoM, et al. Solar wireless power transfer using inductive coupling for mobile phone charger. In: Proceedings of the 2014 IEEE 8th International Power Engineering and Optimization Conference (PEOCO 2014); 2014; Langkawi, Malaysia. |
| [2] | HiraiJ, KimT‐W, KawamuraA. Study on intelligent battery charging using inductive transmission of power and information. IEEE Trans Power Electron. 2000;15(2):335‐345. |
| [3] | JangY, JovanovicMM. A contactless electrical energy transmission system for portable‐telephone battery chargers. IEEE Trans Ind Electron. 2003;50(3):520‐527. |
| [4] | KimC‐G, SeoD‐H, YouJ‐S, ParkJ‐H, ChoBH. Design of a contactless battery charger for cellular phone. IEEE Trans Ind Electron. 2001;48(6):1238‐1247. |
| [5] | MurakamiJ, SatoF, WatanabeT, MatsukiH. Consideration on Cordless Power Station‐contactless power transmission system. IEEE Trans Magn. 1996;32(5):5037‐5039. |
| [6] | HatanakaK, SatoF, MatsukiH, et al. Power transmission of a desk with a cord‐free power supply. IEEE Trans Magn. 2002;38(5):3329‐3331. |
| [7] | KianiM, GhovanlooM. An RFID‐based closed‐loop wireless power transmission system for biomedical applications. IEEE Trans Circuits Syst II Express Briefs. 2010;57(4):260‐264. |
| [8] | RamRakhyaniAK, MirabbasiS, ChiaoM. Design and optimization of resonance‐based efficient wireless power delivery systems for biomedical implants. IEEE Trans Biomed Circuits Syst. 2011;5(1):48‐63. |
| [9] | JiangH, ZhangJ, LanD, et al. A low‐frequency versatile wireless power transfer technology for biomedical implants. IEEE Trans Biomed Circuits Syst. 2013;7(4):526‐535. |
| [10] | SawanM, HashemiS, SehilM, AwwadF, Hajj‐HassanM, KhouasA. Multicoils‐based inductive links dedicated to power up implantable medical devices: modeling design and experimental results. Biomedical Microdevices. 2009;11(5):1059‐1070. |
| [11] | TheodoridisMP, MollovSV. Distant energy transfer for artificial human implants. IEEE Trans Biomed Eng. 2005;52(11):1931‐1938. |
| [12] | RavalP, KacprzakD, HuAP. A wireless power transfer system for low power electronics charging applications. In: Proceedings of the 2011 6th IEEE Conference on Industrial Electronics and Applications (ICIEA); 2011; Beijing, China. |
| [13] | LeeS, HuhJ, ParkC, ChoiN‐S, ChoG‐H, RimC‐T. On‐line electric vehicle using inductive power transfer system. In: Proceedings of the 2010 IEEE Energy Conversion Congress and Exposition; 2010; Atlanta, GA. |
| [14] | XiaC, WeiW, ChenG, WuX, ZhouS, SunY. Robust control for the relay ICPT system under external disturbance and parametric uncertainty. IEEE Trans Control Syst Technol. 2017;25(6):2168‐2175. |
| [15] | WangC‐S, StielauOH, CovicGA. Design considerations for a contactless electric vehicle battery charger. IEEE Trans Ind Electron. 2005;52(5):1308‐1314. |
| [16] | LiuQ, GolińskiM, PawełczakP, WarnierM. Green wireless power transfer networks. IEEE J Sel Areas Commun. 2015;34(5):1740‐1756. |
| [17] | BiS, ZhangR. Distributed charging control in broadband wireless power transfer networks. IEEE J Sel Areas Commun. 2016;34(12):3380‐3393. |
| [18] | YildirimKS, CarliR, SchenatoL. Safe distributed control of wireless power transfer networks. IEEE Internet Things J. 2018;99:1‐9. |
| [19] | LiuQ, YildirimKS, PawełczakP, WarnierM. Safe and secure wireless power transfer networks: challenges and opportunities in RF‐based systems. IEEE Commun Mag. 2016;54(9):74‐79. |
| [20] | LangH‐D, SarrisCD. Power‐flow considerations for optimal wireless power transfer networks. In: Proceedings of the 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA); 2017; Verona, Italy. |
| [21] | BeamsDM, PapasaniA. State‐variable analysis of wireless power transfer networks for linear and nonlinear loads. In: Proceedings of the 2013 IEEE 56th International Midwest Symposium on Circuits and Systems (MWSCAS); 2013; Columbus, OH. |
| [22] | DugardL, VerriestEI. Stability and Robust Control of Time Delay Systems. New York, NY: Springer‐Verlag; 1997. |
| [23] | ZhangJ, JuP, YuY, WuF. Responses and stability of power system under small Gauss type random excitation. Sci China Technol Sci. 2012;55(7):1873‐1880. |
| [24] | SunY, ZhaoX, LiN, WeiZ, SunG. Robust stochastic stability of power system with time‐varying delay under Gaussian random perturbations. Neurocomputing. 2015;162:1‐8. |
| [25] | AravindhD, SakthivelR, MarshalAS. Extended dissipativity‐based non‐fragile control for multi‐area power systems with actuator fault. Int J Syst Sci. 2019;50(2):256‐272. · Zbl 1482.93412 |
| [26] | XuS, ChenT. Robust H_∞ control for uncertain stochastic systems with state delay. IEEE Trans Autom Control. 2002;47(12):2089‐2094. · Zbl 1364.93755 |
| [27] | MengX, LamJ, GaoH. Network‐based H_∞ control for stochastic systems. Int J Robust Nonlinear Control. 2009;19(3):295‐312. · Zbl 1163.93034 |
| [28] | WeiG, WangZ, ShuH. Robust filtering with stochastic nonlinearities and multiple missing measurements. Automatica. 2009;45(3):836‐841. · Zbl 1168.93407 |
| [29] | LiangJ, WangZ, LiuX. On passivity and passification of stochastic fuzzy systems with delays. IEEE Trans Syst Man Cybern B Cybern. 2010;40(3):964‐969. |
| [30] | WangZ, ShenB, ShuH, WeiG. Quantized H_∞ control for nonlinear stochastic time‐delay systems with missing measurements. IEEE Trans Autom Control. 2012;57(6):1431‐1444. · Zbl 1369.93583 |
| [31] | ZhouQ, ShiP. A new approach to network‐based H_∞ control for stochastic systems. Int J Robust Nonlinear Control. 2012;22(9):1036‐1059. · Zbl 1273.93150 |
| [32] | WuZ‐G, ShiP, SuH, ChuJ. Stochastic synchronization of Markovian jump neural networks with time‐varying delay using sampled data. IEEE Trans Cybern. 2013;43(6):1796‐1806. |
| [33] | WuL, GaoY, LiuJ, LiH. Event‐triggered sliding mode control of stochastic systems via output feedback. Automatica. 2017;82:79‐92. · Zbl 1376.93030 |
| [34] | XuY, LuR, PengH, XieK, XueA. Asynchronous dissipative state estimation for stochastic complex networks with quantized jumping coupling and uncertain measurements. IEEE Trans Neural Netw Learn Syst. 2017;28(2):268‐277. |
| [35] | LiH, BaiL, WangL, ZhouQ, WangH. Adaptive neural control of uncertain nonstrict‐feedback stochastic nonlinear systems with output constraint and unknown dead zone. IEEE Trans Syst Man Cybern Syst. 2017;47(8):2048‐2059. |
| [36] | TongS, WangT, LiY, ZhangH. Adaptive neural network output feedback control for stochastic nonlinear systems with unknown dead‐zone and unmodeled dynamics. IEEE Trans Cybern. 2017;44(6):910‐921. |
| [37] | LiH, BaiL, ZhouQ, LuR, WangL. Adaptive fuzzy control of stochastic nonstrict‐feedback nonlinear systems with input saturation. IEEE Trans Syst Man Cybern Syst. 2017;47(8):2185‐2197. |
| [38] | WangT, QiuJ, GaoH. Adaptive neural control of stochastic nonlinear time‐delay systems with multiple constraints. IEEE Trans Syst Man Cybern Syst. 2017;47(8):1875‐1883. |
| [39] | ZhouQ, LiH, WangL, LuR. Prescribed performance observer‐based adaptive fuzzy control for nonstrict‐feedback stochastic nonlinear systems. IEEE Trans Syst Man Cybern Syst. 2017;99:1‐12. |
| [40] | HuZ, DengF, ShiP, LuoS, XingM. Robust exponential stability of uncertain stochastic systems with probabilistic time‐varying delays. Int J Robust Nonlinear Control. 2018;28(9):3273‐3291. · Zbl 1396.93127 |
| [41] | SakthivelR, NithyaV, SelvarajP, KwonOM. Fuzzy sliding mode control design of Markovian jump systems with time‐varying delay. J Frankl Inst. 2018;355(14):6353‐6370. · Zbl 1398.93063 |
| [42] | SakthivelR, JobyM, AnthoniSM. Resilient dissipative based controller for stochastic systems with randomly occurring gain fluctuations. Information Sciences. 2017;418‐419:447‐462. · Zbl 1447.93340 |
| [43] | DaiX, TangC, SunY, WangZ, HuAP. Investigating a H^∞ control method considering frequency uncertainty for CLC type Inductively Coupled Power Transfer system. In: Proceedings of the Energy Conversion Congress and Exposition; 2011; Phoenix, AZ. |
| [44] | LiY‐L, SunY, DaiX. Controller design for an uncertain contactless power transfer system. Inf Technol J. 2012;11(8):971‐979. |
| [45] | DaiX, ZouY, SunY. Uncertainty modeling and robust control for LCL resonant inductive power transfer system. J Power Electron. 2013;13(5):814‐828. |
| [46] | LiY‐L, SunY, DaiX. μ‐synthesis for frequency uncertainty of the ICPT system. IEEE Trans Ind Electron. 2012;60(1):291‐300. |
| [47] | LiY‐L, SunY, DaiX. Robust control for an uncertain LCL resonant ICPT system using LMI method. Control Eng Pract. 2013;21(1):31‐41. |
| [48] | HuangL, LiY, HeZ, GaoS, YuJ. Improved robust controller design for dynamic IPT system under mutual‐inductance uncertainty. In: Proceedings of the 2015 IEEE PELS Workshop on Emerging Technologies: Wireless Power (2015 WoW); 2015; Daejeon, South Korea. |
| [49] | XieL. Output feedback H_∞ control of systems with parameter uncertainty. Int J Control. 1996;63(4):741‐750. · Zbl 0841.93014 |
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