Full‐complexity polytopic robust control invariant sets for uncertain linear discrete‐time systems

[1]  Furqart Tahir Efficient computation of Robust Positively Invariant sets with linear state-feedback gain as a variable of optimization , 2010, 2010 7th International Conference on Electrical Engineering Computing Science and Automatic Control.

[2]  Franco Blanchini,et al.  Set invariance in control , 1999, Autom..

[3]  Per-Olof Gutman,et al.  A novel approach to the computation of polyhedral invariant sets for constrained systems , 2016, 2016 IEEE Conference on Computer Aided Control System Design (CACSD).

[4]  David Q. Mayne,et al.  Robust model predictive control using tubes , 2004, Autom..

[5]  Laurent El Ghaoui,et al.  Robust Solutions to Uncertain Semidefinite Programs , 1998, SIAM J. Optim..

[6]  Basil Kouvaritakis,et al.  Robust receding horizon predictive control for systems with uncertain dynamics and input saturation , 2000, Autom..

[7]  G. Bitsoris On the positive invariance of polyhedral sets for discrete-time systems , 1988 .

[8]  E. Gilbert,et al.  Theory and computation of disturbance invariant sets for discrete-time linear systems , 1998 .

[9]  Hoai-Nam Nguyen,et al.  Constrained Control of Uncertain, Time-Varying, Discrete-Time Systems: An Interpolation-Based Approach , 2013 .

[10]  David Q. Mayne,et al.  Robustifying model predictive control of constrained linear systems , 2001 .

[11]  Imad M. Jaimoukha,et al.  Robust feedback model predictive control of constrained uncertain systems , 2013 .

[12]  The computation of full-complexity polytopic robust control invariant sets , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[13]  J. Alvarez,et al.  Stabilization of linear controllable systems by means of bounded continuous nonlinear feedback control , 1994 .

[14]  J. Hennet,et al.  (A, B)-Invariant Polyhedral Sets of Linear Discrete-Time Systems , 1999 .

[15]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[16]  Bart De Moor,et al.  On efficient computation of low-complexity controlled invariant sets for uncertain linear systems , 2010, Int. J. Control.

[17]  Paul A. Trodden A One-Step Approach to Computing a Polytopic Robust Positively Invariant Set , 2016, IEEE Transactions on Automatic Control.

[18]  S.V. Rakovic,et al.  The Minimal Robust Positively Invariant Set for Linear Discrete Time Systems: Approximation Methods and Control Applications , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[19]  Imad M. Jaimoukha,et al.  Low-Complexity Polytopic Invariant Sets for Linear Systems Subject to Norm-Bounded Uncertainty , 2015, IEEE Transactions on Automatic Control.

[20]  C. Burgat,et al.  Regulator problem for linear discrete-time systems with non-symmetrical constrained control , 1988 .

[21]  David Q. Mayne,et al.  Invariant approximations of the minimal robust positively Invariant set , 2005, IEEE Transactions on Automatic Control.

[22]  Pierre Apkarian,et al.  Robust pole placement in LMI regions , 1999, IEEE Trans. Autom. Control..

[23]  Manfred Morari,et al.  Robust constrained model predictive control using linear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[24]  Jean-Claude Hennet,et al.  A class of invariant regulators for the discrete-time linear constrained regulation problem , 1991, Autom..

[25]  Basil Kouvaritakis,et al.  Nonlinear model predictive control with polytopic invariant sets , 2003, Autom..

[26]  Eduardo F. Camacho,et al.  Computation of polyhedral H-invariant sets for saturated systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[27]  Tamás Terlaky,et al.  A Survey of the S-Lemma , 2007, SIAM Rev..

[28]  David Q. Mayne,et al.  Robust time-optimal control of constrained linear Systems , 1997, Autom..

[29]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[30]  J. Suykens,et al.  The efficient computation of polyhedral invariant sets for linear systems with polytopic uncertainty , 2005, Proceedings of the 2005, American Control Conference, 2005..

[31]  Nikolaos Athanasopoulos,et al.  Invariant set computation for constrained uncertain discrete-time linear systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[32]  F. Schweppe,et al.  Control of linear dynamic systems with set constrained disturbances , 1971 .