Expensive Control of Long-Time Averages Using Sum of Squares and Its Application to A Laminar Wake Flow
暂无分享,去创建一个
Deqing Huang | Owen Tutty | Davide Lasagna | Bo Jin | Sergei Chernyshenko | Deqing Huang | O. Tutty | S. Chernyshenko | D. Lasagna | Bo Jin
[1] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[2] A. Papachristodoulou,et al. A tutorial on sum of squares techniques for systems analysis , 2005, Proceedings of the 2005, American Control Conference, 2005..
[3] Weehong Tan,et al. Nonlinear Control Analysis and Synthesis using Sum-of-Squares Programming , 2006 .
[4] M. Robin. Long-term average cost control problems for continuous time Markov processes: A survey , 1983 .
[5] S. Nguang,et al. Nonlinear static output feedback controller design for uncertain polynomial systems: An iterative sums of squares approach , 2011, 2011 6th IEEE Conference on Industrial Electronics and Applications.
[6] B. R. Noack,et al. On long-term boundedness of Galerkin models , 2013, Journal of Fluid Mechanics.
[7] Tong Heng Lee,et al. Design and Implementation of a Takagi–Sugeno-Type Fuzzy Logic Controller on a Two-Wheeled Mobile Robot , 2013, IEEE Transactions on Industrial Electronics.
[8] Tong Heng Lee,et al. Design and implementation of a new sliding mode controller on an underactuated wheeled inverted pendulum , 2014, J. Frankl. Inst..
[9] Richard H. Stockbridge,et al. Long Term Average Control of a Local Time Process , 2002 .
[10] Paul J. Goulart,et al. Global Stability Analysis of Fluid Flows using Sum-of-Squares , 2010, ACC 2010.
[11] Frank Allgöwer,et al. Analysis and design of polynomial control systems using dissipation inequalities and sum of squares , 2006, Comput. Chem. Eng..
[12] Redha M. Bournas,et al. Time-average and asymptotically optimal flow control policies in networks with multiple transmitters , 1992, Ann. Oper. Res..
[13] R. Temam,et al. On some control problems in fluid mechanics , 1990 .
[14] Zhen-Guo Liu,et al. Global stabilisation of high-order nonlinear systems with multiple time delays , 2013, Int. J. Control.
[15] Wr Graham,et al. OPTIMAL CONTROL OF VORTEX SHEDDING USING LOW-ORDER MODELS. PART I-OPEN-LOOP MODEL DEVELOPMENT , 1999 .
[16] P. Holmes,et al. The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows , 1993 .
[17] Daniel Liberzon,et al. Calculus of Variations and Optimal Control Theory: A Concise Introduction , 2012 .
[18] B. R. Noack,et al. A hierarchy of low-dimensional models for the transient and post-transient cylinder wake , 2003, Journal of Fluid Mechanics.
[19] L. Sirovich. TURBULENCE AND THE DYNAMICS OF COHERENT STRUCTURES PART I : COHERENT STRUCTURES , 2016 .
[20] Claudio De Persis,et al. Input-to-state stable finite horizon MPC for neutrally stable linear discrete-time systems with input constraints , 2006, Syst. Control. Lett..
[21] Chunjiang Qian,et al. Global stabilization of a class of upper‐triangular systems with unbounded or uncontrollable linearizations , 2011 .
[22] Frank Allgöwer,et al. Predictive control for polynomial systems subject to constraints using sum of squares , 2010, 49th IEEE Conference on Decision and Control (CDC).
[23] Tim Colonius,et al. Optimal control of circular cylinder wakes using long control horizons , 2015, 1504.03949.
[24] Celso Grebogi,et al. Using small perturbations to control chaos , 1993, Nature.
[25] Johan Löfberg,et al. Pre- and Post-Processing Sum-of-Squares Programs in Practice , 2009, IEEE Transactions on Automatic Control.
[26] Fen Wu,et al. Regional stabilisation of polynomial non-linear systems using rational Lyapunov functions , 2009, Int. J. Control.
[27] Gilead Tadmor,et al. Nonlinear flow control based on a low dimensional model of fluid flow , 2005 .
[28] Marie-Françoise Roy,et al. Real algebraic geometry , 1992 .
[29] Dan Zhao,et al. Robust static output feedback design for polynomial nonlinear systems , 2010 .
[30] J. Weller,et al. Feedback control by low-order modelling of the laminar flow past a bluff body , 2009, Journal of Fluid Mechanics.
[31] Gilead Tadmor,et al. On the need of nonlinear control for efficient model-based wake stabilization , 2014 .
[32] Laurent Cordier,et al. Calibration of POD reduced‐order models using Tikhonov regularization , 2009 .
[33] G. Karniadakis,et al. A spectral viscosity method for correcting the long-term behavior of POD models , 2004 .
[34] A. Papachristodoulou,et al. On the Analysis of Systems Described by Classes of Partial Differential Equations , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.
[35] A. Papachristodoulou. Analysis of nonlinear time-delay systems using the sum of squares decomposition , 2004, Proceedings of the 2004 American Control Conference.
[36] Paolo Luchini,et al. Feedback control of vortex shedding using a full-order optimal compensator , 2015 .
[37] T. Schneider,et al. A Linear Systems Approach to Flow Control , 2007 .
[38] Richard H. Stockbridge,et al. Existence of Strict Optimal Controls for Long-term Average Stochastic Control Problems , 2010 .
[39] Dan Zhao,et al. Nonlinear Optimal Control for Parameter-Dependent Polynomial Nonlinear Systems , 2007, 2007 IEEE International Conference on Control and Automation.
[40] Bartosz Protas,et al. Optimal rotary control of the cylinder wake in the laminar regime , 2002 .
[41] YangQuan Chen,et al. Linear Feedback Control: Analysis and Design with MATLAB , 2008 .
[42] A. Papachristodoulou,et al. Polynomial sum of squares in fluid dynamics: a review with a look ahead , 2014, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[43] L. Cordier,et al. Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model , 2005 .
[44] Sophie Tarbouriech,et al. Design of Polynomial Control Laws for Polynomial Systems Subject to Actuator Saturation , 2013, IEEE Transactions on Automatic Control.
[45] Hiroshi Naito,et al. Active control of vortex shedding: an explanation of the gain window. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[46] A. Papachristodoulou,et al. Nonlinear control synthesis by sum of squares optimization: a Lyapunov-based approach , 2004, 2004 5th Asian Control Conference (IEEE Cat. No.04EX904).
[47] P. Sagaut,et al. Calibrated reduced-order POD-Galerkin system for fluid flow modelling , 2005 .
[48] Peter J Seiler,et al. SOSTOOLS: Sum of squares optimization toolbox for MATLAB , 2002 .
[49] K. Kashima,et al. Stability analysis of 2-dimensional fluid flow based on sum of squares relaxation , 2008, 2008 SICE Annual Conference.
[50] Robert J. Renka,et al. Algorithm 624: Triangulation and Interpolation at Arbitrarily Distributed Points in the Plane , 1984, TOMS.
[51] A. Papachristodoulou,et al. On the construction of Lyapunov functions using the sum of squares decomposition , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..
[52] Fangzheng Gao,et al. Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition , 2014 .
[53] Angelo Iollo,et al. Feedback control of the vortex-shedding instability based on sensitivity analysis , 2010 .
[54] Yungang Liu,et al. GLOBAL STABILIZATION FOR A CLASS OF HIGH-ORDER TIME-DELAY NONLINEAR SYSTEMS , 2011 .
[55] Andrea Serrani,et al. Control input separation by actuation mode expansion for flow control problems , 2008, Int. J. Control.
[56] Franco Blanchini,et al. Set invariance in control , 1999, Autom..
[57] P. Olver. Nonlinear Systems , 2013 .
[58] Hrvoje Jasak,et al. A tensorial approach to computational continuum mechanics using object-oriented techniques , 1998 .
[59] P. Parrilo. Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization , 2000 .
[60] Roger Temam,et al. DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms , 2001, Journal of Fluid Mechanics.