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Original Articles

Robust mixed H 2 /H ∞ control of time-varying delay systems

Pages 1345-1351 | Published online: 26 Nov 2010

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Qixia Zhang. (2022) Mean-field stochastic H2/H∞ control with delay. International Journal of Control 95:6, pages 1551-1561.
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Qixia Zhang & Qiliang Sun. (2021) Finite horizon stochastic H2/H∞ control with discrete and distributed delays. International Journal of Control 94:1, pages 153-161.
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Chang-Hua Lien, Ker-Wei Yu & Hao-Chin Chang. (2019) Robust mixed performance of uncertain switched systems with random time-varying delay. International Journal of Systems Science 50:7, pages 1415-1433.
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Chang-Hua Lien, Ker-Wei Yu & Hao-Chin Chang. (2018) Robust mixed performance switching control for uncertain discrete switched systems with time delay. International Journal of Systems Science 49:10, pages 2144-2154.
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Zhang Qixia. (2015) H2/H∞ control for stochastic systems with delay. International Journal of Control 88:12, pages 2554-2562.
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Engang Tian, Dong Yue & Chen Peng. (2012) Delay-fractioning-dependent robust H ∞ control for linear systems with delay in state or input and its applications. International Journal of Systems Science 43:5, pages 820-833.
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Jenq‐Der Chen. (2006) Robust mixed H 2/H ∞ controller for uncertain neutral state‐input delayed systems via LMI optimization approach. Journal of the Chinese Institute of Engineers 29:5, pages 933-939.
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Y.-C. Lin & J.-C. Lo. (2005) Robust mixed 2/H ∞ filtering for discrete-time delay fuzzy systems. International Journal of Systems Science 36:15, pages 993-1006.
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Julio Yuzo Yassuda, Cristiano Marcos Agulhari & Emerson Ravazzi Pires da Silva. (2024) Sampled-data robust control of a 2-DoF helicopter modeled using a quasi-LPV framework. Control Engineering Practice 145, pages 105870.
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Huihui Bai, Lijun Wang & Qingchun Jiao. (2022) A Sum of Squares-Based Approach to Robust Nonlinear Mixed H2/H∞ Output-Feedback Control for a Class of Uncertain Polynomial Systems. Mathematical Problems in Engineering 2022, pages 1-14.
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Chang‐Hua Lien, Chia‐Pao Shen, Hao‐Chin Chang, Yi‐You Hou & Ker‐Wei Yu. (2022) Mixed performance for robust fuzzy control of nonlinear autonomous surface vehicle via T‐S model approach. Asian Journal of Control 24:3, pages 1059-1073.
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Mohammad Raeispour, Hajar Atrianfar, Hamid Reza Baghaee & Gevork B. Gharehpetian. (2021) Robust Hierarchical Control of VSC-Based Off-Grid AC Microgrids to Enhancing Stability and FRT Capability Considering Time-Varying Delays. IEEE Journal of Emerging and Selected Topics in Power Electronics 9:6, pages 7159-7172.
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Chang-Hua Lien, Hao-Chin Chang, Ker-Wei Yu, Hung-Chi Li & Yi-You Hou. (2021) Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations. Mathematics 9:21, pages 2763.
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Chang‐Hua Lien, Yi‐You Hou, Ker‐Wei Yu & Hao‐Chin Chang. (2020) Robust mixed performance control of uncertain T‐S fuzzy time‐delay systems with aperiodic sampled‐data input . Optimal Control Applications and Methods 42:3, pages 744-768.
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Chao‐Jun Chen, Zuo‐Hua Li, Jun Teng, Qing‐Gui Wu & Bei‐Chun Lin. (2020) A variable gain state‐feedback technique for an AMD control system with stroke limit and its application to a high‐rise building. The Structural Design of Tall and Special Buildings 30:1.
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Chang‐Hua Lien, Ker‐Wei Yu & Hao‐Chin Chang. (2020) Mixed performance analysis of continuous switched systems with time‐varying random delay. Asian Journal of Control 22:6, pages 2156-2166.
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Chang-Hua Lien, Ker-Wei Yu & Hao-Chin Chang. (2020) Robust mixed H2 and passive switching control for uncertain discrete switched systems with time delay. IMA Journal of Mathematical Control and Information 37:2, pages 422-440.
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Chang‐Hua Lien, Ker‐Wei YuHao‐Chin Chang. (2018) Robust Mixed Performance of Continuous Switched Systems with Time Delay. Asian Journal of Control 22:2, pages 988-998.
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Chang-Hua Lien, Ker-Wei Yu & Hao-Chin Chang. (2018) Mixed Performance of Switched Systems with Time-varying Random Delay. Mixed Performance of Switched Systems with Time-varying Random Delay.
Xiaoqian Li, Juanjuan Xu, Wei Wang & Huanshui Zhang. (2018) Mixed control for discrete‐time systems with input delay. IET Control Theory & Applications 12:16, pages 2221-2231.
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Zuohua Li, Chaojun Chen, Jun Teng & Ying Wang. (2018) A compensation controller based on a regional pole-assignment method for AMD control systems with a time-varying delay. Journal of Sound and Vibration 419, pages 18-32.
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Zhang Qixia & Sun Qiliang. (2016) Recursive Stochastic H 2 / H ∞ Control Problem for Delay Systems Involving Continuous and Impulse Controls . Asian Journal of Control 19:1, pages 405-413.
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Yanqian Wang, Junwei Lu, Ze Li & Yuming Chu. (2016) Mixed H 2/H ∞ control for a class of nonlinear networked control systems. International Journal of Control, Automation and Systems 14:3, pages 655-665.
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Cheung-Chieh Ku & Rui-Wen Chen. (2014) Controller design for truck-trailer stochastic system subject to H<inf>2</inf> performance and strictly input passivity. Controller design for truck-trailer stochastic system subject to H<inf>2</inf> performance and strictly input passivity.
L. Orihuela, P. Millan, C. Vivas & F.R. Rubio. (2014) Improved H<inf>2</inf>/H<inf>&#x221E;</inf> Control Design for Time Delay Systems: Synthesis and Analysis. Improved H<inf>2</inf>/H<inf>&#x221E;</inf> Control Design for Time Delay Systems: Synthesis and Analysis.
Cheung-Chieh Ku, Rui-Wen Chen & Min-Ta Li. 2014. Advanced Approaches to Intelligent Information and Database Systems. Advanced Approaches to Intelligent Information and Database Systems 277 286 .
P. Millan, L. Orihuela, G. Bejarano, C. Vivas, T. Alamo & F. R. Rubio. (2012) Design and Application of Suboptimal Mixed $H_{2}/H_{\infty}$ Controllers for Networked Control Systems. IEEE Transactions on Control Systems Technology 20:4, pages 1057-1065.
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Engang Tian, Dong Yue & Yijun Zhang. (2011) On improved delay-dependent robust ∞ control for systems with interval time-varying delay. Journal of the Franklin Institute 348:4, pages 555-567.
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Cheng Wang. 2011. Advances in Computer Science, Intelligent System and Environment. Advances in Computer Science, Intelligent System and Environment 209 214 .
L Orihuela, P Millán, G Bejarano, C Vivas & F R Rubio. (2010) Optimal networked control of a 2 degree-of-freedom direct drive robot manipulator. Optimal networked control of a 2 degree-of-freedom direct drive robot manipulator.
Man Sun & Yingmin Jia. (2010) Delay‐dependent robust H 2 / H ∞ control for time‐delay systems with polytopic uncertainty . Asian Journal of Control 12:5, pages 661-666.
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Wei Xie & Toshio Eisaka. (2010) Multi‐objective state feedback control for linear delay systems. Asian Journal of Control 12:4, pages 542-548.
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M. S. Mahmoud, P. Shi & A. W. A. Saif. (2009) Stabilization of Linear Switched Delay Systems: ℋ2 and ℋ∞ Methods. Journal of Optimization Theory and Applications 142:3, pages 583-601.
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Magdi S. Mahmoud, Fouad M. AL-Sunni & Yan Shi. (2008) Mixed control of uncertain jumping time-delay systems. Journal of the Franklin Institute 345:5, pages 536-552.
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Qiongbin Lin, Fenghuang Cai, Wu Wang & Fuwen Yang. (2008) Mixed H<inf>2</inf>/H<inf>&#x221E;</inf> control for networked control system with missing data. Mixed H<inf>2</inf>/H<inf>&#x221E;</inf> control for networked control system with missing data.
Magdi S. Mahmoud, Peng Shi, El Kebir Boukas & Lakhim Jain. (2007) Simultaneous ℋ︁ 2 /ℋ︁ ∞ control of uncertain jump systems with functional time‐delays . International Journal of Robust and Nonlinear Control 18:3, pages 296-318.
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Haiqin Sun, Kanjian Zhang & Lei Guo. (2008) PI Tracking Control with Mixed H2 and H∞ Performance of Descriptor Time Delay System for Output PDFs Based on B-Spline Neural Networks. IFAC Proceedings Volumes 41:2, pages 11226-11231.
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Yanjun Shen, Weimin Shen, Jason Gu & Max Meng. (2007) Robust mixed H<inf>2</inf>/H<inf>&#x221E;</inf> control of time-varying delay systems with extended LMI. Robust mixed H<inf>2</inf>/H<inf>&#x221E;</inf> control of time-varying delay systems with extended LMI.
J. D. Chen. (2006) LMI Approach to Robust Delay-Dependent Mixed H 2/H ∞ Controller of Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays. Journal of Optimization Theory and Applications 131:3, pages 383-403.
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Z. Xiang, Q. Chen & W. Hu. (2006) ROBUST MIXED H 2/H ∞ CONTROL FOR UNCERTAIN SINGULAR SYSTEMS WITH STATE DELAY. Control and Intelligent Systems 34:2.
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Hongliang Liu & Guangren Duan. (2006) Generalized H<inf>2</inf>Control of Linear Neutral Time-delay Systems. Generalized H<inf>2</inf>Control of Linear Neutral Time-delay Systems.
R.M. Palhares, C.D. Campos, P.Ya. Ekel, M.C.R. Leles & M.F.S.V. D'Angelo. (2005) Delay-dependent robust H∞ control of uncertain linear systems with time-varying delays. Computers & Mathematics with Applications 50:1-2, pages 13-32.
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Wenan Sun & Jun Zhao. (2005) Hybrid output-feedback guaranteed cost H//sub∞/ robust control for linear systems. Hybrid output-feedback guaranteed cost H//sub∞/ robust control for linear systems.
Dong Yue & Qing‐Long Han. (2008) Robust H∞ Non‐Fragile Controller Design for Uncertain Descriptor Systems with Time‐Varying Discrete and Distributed Delays. Developments in Chemical Engineering and Mineral Processing 13:3-4, pages 341-350.
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Dong Yue & James Lam. (2004) Suboptimal robust mixed controller design for uncertain descriptor systems with distributed delays. Computers & Mathematics with Applications 47:6-7, pages 1041-1055.
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R.M. Palhares, C.D. Campos, M.C.R. Leles, P.Ya. Ekel & M.F.S.V. D'Angelo. (2003) Delay-dependent H∞ control stabilization of linear systems with time-varying delays 1. IFAC Proceedings Volumes 36:19, pages 257-262.
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