Robust reliable H∞ control for uncertain stochastic spatial-temporal systems: The output feedback case

This work was supported in part by the the Deanship of Scientific Research (DSR) at King Abdulaziz University in Saudi Arabia under Grant 16-135-35-HiCi, the National Natural Science Foundation of China under Grants 61329301, 61134009 and 61473076, the Shanghai Rising-Star Program of China under Grant 13QA1400100, the Shu Guang project of Shanghai Municipal Education Commission and Shanghai Education Development Foundation under Grant 13SG34, the Fundamental Research Funds for the Central Universities, the DHU Distinguished Young Professor Program, and the Alexander von Humboldt Foundation of Germany.

[1]  Kai Liu,et al.  Stability of infinite dimensional stochastic differential equations with applications , 2005 .

[2]  Huijun Gao,et al.  A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems , 2004, IEEE Trans. Signal Process..

[3]  Michael Basin,et al.  Robust mini–max regulator for uncertain non-linear polynomial systems , 2012 .

[4]  Huijun Gao,et al.  Distributed H∞ Filtering for a Class of Markovian Jump Nonlinear Time-Delay Systems Over Lossy Sensor Networks , 2013, IEEE Transactions on Industrial Electronics.

[5]  Zidong Wang,et al.  Controller Design for 2-D Stochastic Nonlinear Roesser Model , 2016 .

[6]  Zhiguang Feng,et al.  Reliable Dissipative Control for Singular Markovian Systems , 2013 .

[7]  S. K. Tso,et al.  THREE-STEP PRECISE ROBOTIC PEG-HOLE INSERTION OPERATION WITH SYMMETRIC REGULAR POLYHEDRAL OBJECTS , 1999 .

[8]  Huisheng Shu,et al.  l 2 -l ∞ reliable control for discrete time-delay systems with fractional uncertainties and saturated package losses , 2014 .

[9]  B. Rozovskii,et al.  Stochastic evolution equations , 1981 .

[10]  Y. Cao,et al.  Delay-dependent robust stabilization of uncertain systems with multiple state delays , 1998, IEEE Trans. Autom. Control..

[11]  Peng Shi,et al.  Sensor fault estimation and tolerant control for Itô stochastic systems with a descriptor sliding mode approach , 2013, Autom..

[12]  D. Dawson.  Stochastic evolution equations , 1972 .

[13]  D. McFarlane,et al.  Optimal guaranteed cost control and filtering for uncertain linear systems , 1994, IEEE Trans. Autom. Control..

[14]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[15]  P. Christofides,et al.  Model predictive control of nonlinear stochastic partial differential equations with application to a sputtering process , 2008 .

[16]  Zhiwei Gao,et al.  Reliable Observer-Based Control Against Sensor Failures for Systems With Time Delays in Both State and Input , 2008, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[17]  Michael V. Basin,et al.  Central suboptimal mean-square H ∞ controller design for linear stochastic time-varying systems , 2011, Int. J. Syst. Sci..

[18]  Michael V. Basin,et al.  Central suboptimal H ∞ controller design for linear time-varying systems with unknown parameters , 2011, Int. J. Syst. Sci..

[19]  Bor-Sen Chen,et al.  Synchronization of Partial Differential Systems via Diffusion Coupling , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  Guoliang Wei,et al.  A gain-scheduled approach to fault-tolerant control for discrete-time stochastic delayed systems with randomly occurring actuator faults , 2013 .

[21]  Bor-Sen Chen,et al.  Robust Filter for Linear Stochastic Partial Differential Systems via a Set of Sensor Measurements , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[22]  Simo Särkkä,et al.  On Unscented Kalman Filtering for State Estimation of Continuous-Time Nonlinear Systems , 2007, IEEE Trans. Autom. Control..

[23]  Yuanqing Xia,et al.  Robust adaptive sliding mode control for uncertain discrete-time systems with time delay , 2010, J. Frankl. Inst..

[24]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[25]  刘 凯湘.  Stability of infinite dimensional stochastic differential equations with applications , 2006 .

[26]  Shengyuan Xu,et al.  Robust H ∞ reliable control for a class of uncertain neutral delay systems , 2002, Int. J. Syst. Sci..

[27]  Dong Yue,et al.  Network-based robust H ∞ control of systemswith uncertainty , 2005 .

[28]  Huijun Gao,et al.  A New Approach to Robust H∞ Filtering for Uncertain Systems with Both Discrete and Distributed Delays , 2007 .

[29]  Yeung Sam Hung,et al.  Distributed $H_{\infty}$ Filtering for Polynomial Nonlinear Stochastic Systems in Sensor Networks , 2011, IEEE Transactions on Industrial Electronics.

[30]  Guoliang Wei,et al.  Controller design for 2-D stochastic nonlinear Roesser model: A probability-dependent gain-scheduling approach , 2014, J. Frankl. Inst..

[31]  Yuming Bo,et al.  Reliable control for a class of nonlinear time-varying stochastic systems with randomly occurring sensor failures , 2014, Int. J. Syst. Sci..

[32]  P. Shi,et al.  Robust stability and stabilisation of uncertain switched linear discrete time-delay systems , 2008 .

[33]  Hamid Reza Karimi,et al.  Robust Control of Stochastic Systems Against Bounded Disturbances With Application to Flight Control , 2014, IEEE Transactions on Industrial Electronics.

[34]  Edwin E. Yaz,et al.  Robust and resilient state-dependent control of discrete-time nonlinear systems with general performance criteria , 2014 .

[35]  Wendell H. Fleming,et al.  Distributed Parameter Stochastic Systems in Population Biology , 1975 .

[36]  Bor-Sen Chen,et al.  Robust Stabilization Design for Stochastic Partial Differential Systems Under Spatio-temporal Disturbances and Sensor Measurement Noises , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[37]  Kai Liu.  Stochastic Stability of Differential Equations in Abstract Spaces , 2022 .

[38]  Guoliang Wei,et al.  Probability-dependent H∞ synchronization control for dynamical networks with randomly varying nonlinearities , 2014, Neurocomputing.

[39]  Peng Shi,et al.  Central suboptimal H∞ control design for nonlinear polynomial systems , 2009, ACC.

[40]  Honghai Liu,et al.  Parameter-dependent robust stability for uncertain Markovian jump systems with time delay , 2011, J. Frankl. Inst..

[41]  Valter J. S. Leite,et al.  An improved LMI condition for robust D-stability of uncertain polytopic systems , 2003, Proceedings of the 2003 American Control Conference, 2003..

[42]  Tong Heng Lee,et al.  A less conservative robust stability test for linear uncertain time-delay systems , 2006, IEEE Trans. Autom. Control..

[43]  Dong Yue,et al.  Robust control for Markovian jump systems with partially known transition probabilities and nonlinearities , 2013, J. Frankl. Inst..