An Algorithm to Design Pareto Optimal Controllers for Linear Systems
暂无分享,去创建一个
[1] Bruno Buchberger,et al. Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal , 2006, J. Symb. Comput..
[2] Puduru Viswanadha Reddy,et al. Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games , 2014, IEEE Transactions on Automatic Control.
[3] J. Lin. Maximal vectors and multi-objective optimization , 1976 .
[4] Jean Charles Faugère,et al. A new efficient algorithm for computing Gröbner bases without reduction to zero (F5) , 2002, ISSAC '02.
[5] Antonio Tornambè,et al. On polynomial vector fields having a given affine variety as attractive and invariant set: application to robotics , 2015, Int. J. Control.
[6] George Leitmann,et al. A simple derivation of necessary conditions for Pareto optimality , 1974 .
[7] Corrado Possieri,et al. An algebraic geometry approach for the computation of all linear feedback Nash equilibria in LQ differential games , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).
[8] B. Sturmfels. SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS , 2002 .
[9] William S. Levine,et al. The Control Handbook , 2005 .
[10] J. Faugère. A new efficient algorithm for computing Gröbner bases (F4) , 1999 .
[11] C. Scherer,et al. Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..
[12] Kemin Zhou,et al. Mixed /spl Hscr//sub 2/ and /spl Hscr//sub /spl infin// performance objectives. II. Optimal control , 1994 .
[13] Magali Bardet,et al. On the Complexity of a Grobner Basis Algorithm , 2005 .
[14] Ramon Vilanova,et al. PID Control in the Third Millennium , 2012 .
[15] Yun Li,et al. PID control system analysis, design, and technology , 2005, IEEE Transactions on Control Systems Technology.
[16] P. Khargonekar,et al. Multiple objective optimal control of linear systems: the quadratic norm case , 1991 .
[17] Kalyanmoy Deb,et al. Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.
[18] P. Siarry,et al. Multiobjective Optimization: Principles and Case Studies , 2004 .
[19] Manuel Laguna,et al. Tabu Search , 1997 .
[20] D. Bernstein,et al. LQG control with an H/sup infinity / performance bound: a Riccati equation approach , 1989 .
[21] Carsten W. Scherer,et al. From mixed to multi-objective control , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[22] Tore Hägglund,et al. Robust PID Design Based on QFT and Convex–Concave Optimization , 2017, IEEE Transactions on Control Systems Technology.
[23] Adrian Gambier,et al. Multi-objective optimal control: An introduction , 2011, 2011 8th Asian Control Conference (ASCC).
[24] B. Anderson,et al. Output feedback stabilization—Solution by algebraic geometry methods , 1977, Proceedings of the IEEE.
[25] W. Haddad,et al. LQG control with an H∞ performance bound: a riccati equation approach , 1988, 1988 American Control Conference.
[26] Stephen P. Boyd,et al. Method of centers for minimizing generalized eigenvalues , 1993, Linear Algebra and its Applications.
[27] L. Menini,et al. Dead‐beat regulation of mechanical juggling systems , 2018 .
[28] Guo-Ping Liu,et al. Multiobjective Optimisation And Control , 2008 .
[29] E. L. Ulungu,et al. MOSA method: a tool for solving multiobjective combinatorial optimization problems , 1999 .
[30] Kaisa Miettinen,et al. Proper Pareto Optimality In Nonconvex Problems - Characterization With Tangent And Normal Cones , 1998 .
[31] Laura Menini,et al. Application of algebraic geometry techniques in permanent-magnet DC motor fault detection and identification , 2015, Eur. J. Control.
[32] B. Francis. The linear multivariable regulator problem , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.
[33] Laura Menini,et al. Switching Signal Estimator Design for a Class of Elementary Systems , 2016, IEEE Transactions on Automatic Control.
[34] Laura Menini,et al. Boolean network representation of a continuous-time system and finite-horizon optimal control: application to the single-gene regulatory system for the lac operon , 2017, Int. J. Control.
[35] Tore Hägglund,et al. The future of PID control , 2000 .
[36] M Guerrisi,et al. Advanced lung ventilation system (ALVS) with linear respiratory mechanics assumption for waveform optimization of dual-controlled ventilation. , 2007, Medical engineering & physics.
[37] Laura Menini,et al. Algebraic Methods for Multiobjective Optimal Design of Control Feedbacks for Linear Systems , 2018, IEEE Transactions on Automatic Control.
[38] Corrado Possieri,et al. On polynomial feedback Nash equilibria for two-player scalar differential games , 2016, Autom..
[39] Carlos A. Coello Coello,et al. An updated survey of GA-based multiobjective optimization techniques , 2000, CSUR.
[40] Antonio Tornambè,et al. On f-invariant and attractive affine varieties for continuous-time polynomial systems: The case of robot motion planning , 2014, 53rd IEEE Conference on Decision and Control.
[41] Wei Yang,et al. Robust Multi-Objective Feedback Design by Quantifier Elimination , 1997, J. Symb. Comput..