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International Journal of Control Volume 50, 1989 - Issue 5
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Original Articles

Robust control for linear systems with structured state space uncertainty

KENNETH M. SOBEL Department of Electrical Engineering, City College of New York, New York, NY, 10031, U.S.A
,
SIVA S. BANDAJ Flight Dynamics Laboratory, Wright Research and Development Center/FIGC, Wright Patterson Air Force Base, OH, 45433, U.S.A.
&
HSI-HAN YEH Flight Dynamics Laboratory, Wright Research and Development Center/FIGC, Wright Patterson Air Force Base, OH, 45433, U.S.A.
Pages 1991-2004 | Received 01 Jun 1989, Published online: 16 May 2007

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L. Chen, A.J. Pomfret & T. Clarke. (2017) Increasing eigenstructure assignment design degree of freedom using lifting. International Journal of Control 90:10, pages 2111-2123.
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J. S. Luo, A. JOHNSON & P. P. J. VAN DEN BOSCH. (1996) A stability robustness analysis and design method for linear discrete-time systems with structured uncertainty. International Journal of Systems Science 27:1, pages 113-120.
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CHIEH-LI CHEN & SHYI-KAE YANG. (1995) Robust performance analysis for linear continuous/discrete time systems with linear dependent and time-varying perturbations. International Journal of Systems Science 26:9, pages 1583-1591.
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XIAO-JUN ZENG. (1995) Robust stability for linear discrete-time systems with structured perturbations. International Journal of Control 61:3, pages 739-748.
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J. S. LUO, X. F. ZHANG & A. JOHNSON. (1994) Stability robustness in linear state-space models with structured time-varying uncertainties. International Journal of Control 60:3, pages 435-450.
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KENNETHM. SOBEL, ELIEZERY. SHAPIRO & ALBERTN. ANDRY$suffix/text()$suffix/text(). (1994) Eigenstructure assignment. International Journal of Control 59:1, pages 13-37.
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J. S. LUO & A. JOHNSON. (1992) Stability robustness of the discrete-time LQG system under plant perturbation and noise uncertainty. International Journal of Control 55:6, pages 1491-1502.
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KENNETHM. SOBEL, WANGLING YU, JEANE. PIOU, JAMESR. CLOUTIER & ROBERT WILSON. (1992) Robust eigenstructure assignment with structured state-space uncertainty and unmodelled dynamics. International Journal of Systems Science 23:5, pages 765-788.
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SHINN-JANG HO, ING-RONG HORNG & JYH-HORNG CHOU. (1992) Decentralized stabilization of large-scale systems with structured uncertainties. International Journal of Systems Science 23:3, pages 425-434.
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Yi-Liang Yeh. (2021) A Robust Noise-Free Linear Control Design for Robot Manipulator with Uncertain System Parameters. Actuators 10:6, pages 121.
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Rama K. YedavalliRama K. Yedavalli. 2014. Robust Control of Uncertain Dynamic Systems. Robust Control of Uncertain Dynamic Systems 101 143 .
Quan Yuan, Zhiqing He & Huinan Leng. (2008) An evolution strategy method for computing eigenvalue bounds of interval matrices. Applied Mathematics and Computation 196:1, pages 257-265.
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Huinan Leng & Zhiqing He. (2006) Computing eigenvalue bounds of structures with uncertain‐but‐non‐random parameters by a method based on perturbation theory. Communications in Numerical Methods in Engineering 23:11, pages 973-982.
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Abderrazak Belkharraz & Kenneth Sobel. (2007) Simple adaptive control for aircraft control surface failures. IEEE Transactions on Aerospace and Electronic Systems 43:2, pages 600-611.
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Su Huan Chen, Chun Liu & Yu Dong Chen. (2004) The standard deviations for eigenvalues of the closed-loop systems with random parameters. Structural Engineering and Mechanics 18:3, pages 331-342.
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S.H Chen, K.J Guo & Y.D Chen. (2004) A method for estimating upper and lower bounds of eigenvalues of closed-loop systems with uncertain parameters. Journal of Sound and Vibration 276:3-5, pages 527-539.
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Ho Chul Lee & Jae Weon Choi. (2003) Eigenstructure-based robust stability analysis for linear time-varying systems. Eigenstructure-based robust stability analysis for linear time-varying systems.
Z. Bubnicki. (2002) STABILITY AND STABILIZATION OF DISCRETE SYSTEMS WITH RANDOM AND UNCERTAIN PARAMETERS. IFAC Proceedings Volumes 35:1, pages 193-198.
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Z. Bubnicki. (2001) A Probabilistic Approach to Stability and Stabilization of Uncertain Discrete Systems. IFAC Proceedings Volumes 34:6, pages 1071-1076.
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Shengyuan Xu, Chengwu Yang, Yugang Niu & James Lam. (2001) Robust stabilization for uncertain discrete singular systems. Automatica 37:5, pages 769-774.
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Hiroaki Mukaidani & Koichi Mizukami. (2000) Robust stability for singularly perturbed systems with structured state space uncertainties. Electrical Engineering in Japan 132:4, pages 62-72.
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Daoyi Xu, Shuyong Li, Zhiling Pu & Qingyi Guo. (1999) Domain of attraction of nonlinear discrete systems with delays. Computers & Mathematics with Applications 38:5-6, pages 155-162.
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Hansheng Wu & Kokyu Kawabata. (1999) Robust linear controller design of uncertain discrete systems with time-varying delay. IFAC Proceedings Volumes 32:2, pages 1643-1648.
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J.S. Luo & P.P.J. van den Bosch. (1997) Independent of delay stability criteria for uncertain linear state space models. Automatica 33:2, pages 171-179.
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Clive Marsh & Hao Wei. (1996) Robustness bounds for systems with parametric uncertainty. Automatica 32:10, pages 1447-1453.
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J.E. Piou & K.M. Sobel. (1996) Application of gain scheduled eigenstructure assignment to flight control design. Application of gain scheduled eigenstructure assignment to flight control design.
Liu Ximei Yu Fei & QingLin. Wang. (1995) Robust Stability Analysis of Uncertain Large-Scale Systems. IFAC Proceedings Volumes 28:16, pages 305-310.
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J. Miguchi, Hansheng Wu & K. Mizukami. (1995) Robust linear controller design for discrete time systems with norm-bounded time-varying uncertainty. Robust linear controller design for discrete time systems with norm-bounded time-varying uncertainty.
A. Swarup. (1995) On robustness measures and control. On robustness measures and control.
Chun-Hsiung Fang, Li Lee & Fan-Ren Chang. (1994) Robust control analysis and design for discrete-time singular systems. Automatica 30:11, pages 1741-1750.
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Sanghwa Jeong. (1994) On robust dynamic controller design. KSME Journal 8:2, pages 127-135.
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J.S. Luo, A. Johnson & P.P.J. van den Bosch. (1994) Stability robustness analysis and design for linear systems with structured time-invariant uncertainty. Stability robustness analysis and design for linear systems with structured time-invariant uncertainty.
Martin Corless. 1994. Variable Structure and Lyapunov Control. Variable Structure and Lyapunov Control 181 203 .
Midori Maki & Kojiro Hagino. (2007) Robust LQG control system under parameter uncertainty. Electronics and Communications in Japan (Part III: Fundamental Electronic Science) 77:7, pages 48-57.
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Midori Maki & Kojiro Hagino. (2007) An adaptive control for linear uncertain multiinput‐multioutput systems with robust performance. Electronics and Communications in Japan (Part III: Fundamental Electronic Science) 77:7, pages 24-34.
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Chun-Hsiung Fang & Fan-Ren Chang. (1993) Analysis of stability robustness for generalized state-space systems with structured perturbations. Systems & Control Letters 21:2, pages 109-114.
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Jean E. Piou & Kenneth M. Sobel. (1993) Robust sampled data eigenstructure assignment using the delta operator. Journal of Guidance, Control, and Dynamics 16:4, pages 702-711.
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Chun-Hsiung Fang & Fan-Ren Chang. (1993) Robust Control Analysis and Design for Discrete-time Singular Systems. IFAC Proceedings Volumes 26:2, pages 83-88.
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W Yu, J.E Piou & K.M Sobel. (1993) Robust eigenstructure assignment for the extended medium range air-to-air missile. Automatica 29:4, pages 889-898.
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Rong-Jyue Wang & Wen-June Wang. (1993) Stabilizability of linear quadratic state feedback for uncertain systems. Journal of Guidance, Control, and Dynamics 16:3, pages 597-600.
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J.S. Luo & A. Johnson. (1993) Stability robustness of the continuous-time LQG system under plant perturbation and noise uncertainty. Automatica 29:2, pages 485-489.
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P. Dorato, R. Tempo & G. Muscato. (1993) Bibliography on robust control. Automatica 29:1, pages 201-213.
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. (1992) Control design for robust eigenstructure assignment in linear uncertain systems. IEEE Control Systems 12:5, pages 29-34.
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JEAN PIOU & KENNETH SOBEL. (1992) Robust sampled data eigenstructure assignment using the delta operator. Robust sampled data eigenstructure assignment using the delta operator.
Jyh-Horng Chou. (2016) Stabilisation of dynamic saturating systems with structured plant perturbations. Transactions of the Institute of Measurement and Control 14:3, pages 153-156.
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W. Yu, K.M. Sobel & E.Y. Shapiro. (1992) A time domain approach to the robustness of time delay systems. A time domain approach to the robustness of time delay systems.
R.F. Wilson, J.R. Cloutier & R.K. Yedavalli. (1992) Lyapunov-constrained eigenstructure assignment for the design of robust mode-decoupled roll-yaw missile autopilots. Lyapunov-constrained eigenstructure assignment for the design of robust mode-decoupled roll-yaw missile autopilots.
KENNETH M. SOBEL & WANGLING YU. 1992. Robust Control System Techniques and Applications, Part 2 of 2. Robust Control System Techniques and Applications, Part 2 of 2 407 466 .
R.F. Wilson & J.R. Cloutier. (1991) An alternate optimal formulation for robust eigenstructure assignment. An alternate optimal formulation for robust eigenstructure assignment.
R.F. Wilson & R. Yedavalli. (1991) Control design for robust eigenstructure assignment in linear uncertain systems. Control design for robust eigenstructure assignment in linear uncertain systems.
W. Yu, J.E. Piou & K.M. Sobel. (1991) Robust eigenstructure assignment for the extended medium range air to air missile. Robust eigenstructure assignment for the extended medium range air to air missile.
Jyh-Horng Chou. (1990) Stability robustness of linear state space models with structured perturbations. Systems & Control Letters 15:3, pages 207-210.
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K.M. Sobel, J.E. Piou, W. Yu, E.Y. Shapiro & R. Wilson. (1990) A time approach to robustness of LTI systems with structured uncertainty and unmodelled dynamics. A time approach to robustness of LTI systems with structured uncertainty and unmodelled dynamics.

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