All controllers for the general H∞ control problem: LMI existence conditions and state space formulas

Keywords

Mathematics, Bounded function, Parametrization (atmospheric modeling), Norm (philosophy), Matrix (chemical analysis)

References

• Optimal control with mixed H2 and H∞ performance objectivesDoyle, Zhou, Bodenheimer — 1989
• H∞ -optimization without assumptions on finite or infinite zerosCarsten W. Scherer — 1992
• Liapunov and Covariance ControllersRobert E. Skelton, Tetsuya Iwasaki — 1992
• Linear controller design: limits of performanceStephen Boyd, C. Barratt — 1991
• The singular control problem with dynamic measurement feedbackAnton A. Stoorvogel — 1991
• Disturbance attenuation and H^∞ optimization: A design method based on the algebraic Riccati equationIan R. Petersen — 1987
• Mixed H/sub 2//H/sub infinity / control: a convex optimization approachPramod P. Khargonekar, Mario A. Rotea — 1991
• Least squares stationary optimal control and the algebraic Riccati equationJan C. Willems — 1971
• On a convex parameter space method for linear control design of uncertain systemsJosé C. Geromel, Pedro L. D. Peres, J. Bernussou — 1991
• LQG control with an H/sup infinity / performance bound: a Riccati equation approachDennis S. Bernstein, Wassim M. Haddad — 1989
• H ∞ control of linear time-varying systems: a state-space approachR. Ravi, K.M. Nagpal, Pramod P. Khargonekar — 1991
• H/sub infinity /-optimal control with state-feedbackPramod P. Khargonekar, Ian R. Petersen, Mario A. Rotea — 1988
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problemsJohn C. Doyle, K. Glover, Pramod P. Khargonekar — 1989
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theoryPramod P. Khargonekar, Ian R. Petersen, Kemin Zhou — 1990
• A riccati equation approach to the stabilization of uncertain linear systemsIan R. Petersen, C.V. Hollot — 1986
• An algebraic approach to H ∞ output feedback control problemsMitsuji Sampei, Tsutomu Mita, M. Nakamichi — 1990
• H ∞ guaranteed cost control for uncertain continuous-time linear systemsPedro L. D. Peres, José C. Geromel, Sérgio Ricardo de Souza — 1993
• An algebraic Riccati equation approach to H ∞ optimizationKemin Zhou, Pramod P. Khargonekar — 1988
• H∞ -control by state-feedback for plants with zeros on the imaginary axisCarsten W. Scherer — 1992
• State-space formulae for all stabilizing controllers that satisfy and H ∞ norm bound and relations to risk sensitivityK. Glover, John C. Doyle — 1988

Cited by

• A linear matrix inequality approach to synthesizing low-order suboptimal mixed L1/H controllersJuanyu Bu, Mario Sznaier — 2000
• Robust Bode Methods for Feedback Controller Design of Uncertain SystemsJ. D. Taylor — 2014
• 非構造的集合の線形分数変換で表現されたモデル集合 : 変動モデルとロバスト制御系を同時に設計するための枠組 (モデリングと制御器設計の接点-システム表現を考える特集号)徹 浅井, R Rajesh — 2000
• Solutions for H∞ Filtering of Two-Dimensional SystemsChunling Du, Lihua Xie, Cishen Zhang — 2000
• Selection of inputs and outputs for controlM.M.J. van de Wal — 1998
• Concave Programming in Control TheoryPierre Apkarian, Hoang Duong Tuan — 1999
• LMI-based multiobjective controller design with non-common Lyapunov variablesYoshio Ebihara — 2002
• Control of a 3DOF Birotor Helicopter Using Robust Control MethodsRuiz Brito, A Luis — 2010
• Design of dynamic controller for rejection of persistent disturbancesBoris Polyak, M. V. Khlebnikov — 2011
• Robust Multiobjective LTI Control Design for Systems with Structured PerturbationsLaurent El Ghaoui, Jean-Pierre Folcher — 1996
• An H infinity design method for fault detection and identification problemsA. Stoica, M. Grimble — 2002
• LPV-based gain scheduling : an H∞-LMI approachFredrik Bruzelius — 2002
• Piecewise Frequency Design Method of Linear SystemLina Ye, Rong Fu — 2009
• Reduced-order controller design for the general H ∞ control problemJianping Zeng, Lin Du, Peng Cheng — 2006
• Design of reduced-order H∞ filtering for Markovian jump systems with mode-dependent time delaysGuoliang Wang, Qingling Zhang, Victor Sreeram — 2009
• Absolute stabilization related to circle criterion: An LMI-based approachYang Ying, Lin Huang — 2003
• A Convex Constraint for Directly Designing a Low-order Controller in Polynomial ApproachHamid Khatibi, Alireza Karimi — 2010
• Input output selection based on robust performance:an active suspension applicationMmj Marc Wal, van de — 1996
• Observation et commande des systèmes de grande dimensionMejda Mansouri — 2012
• Commande robuste LPV multivariable de châssis automobileCharles Poussot-Vassal — 2008

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