Output feedback receding horizon control of constrained systems

References

• Baras , JS and Patel , NS . 1998 . Robust control of set-valued discrete-time dynamical systems . IEEE Transactions on Automatic Control , 43 : 61 – 75 .
   Web of Science ®Google Scholar
• Bemporad , A . 1998 . “ Reducing conservativeness in predictive control of constrained systems with disturbances ” . In Proceedings of 37th IEEE Conference on Decision and Control 1384 – 1391 . Tampa, , FL, USA
   Google Scholar
• Bemporad , A and Garulli , A . 2000 . Output-feedback predictive control of constrained linear systems via set-membership state estimation . Int. J. Control , 73 : 655 – 665 .
   Web of Science ®Google Scholar
• Bemporad , A and Morari , M . 1999 . Robust Model Predictive Control: A Survey in Robustness in Identification and Control, volume 245 of Lecture Notes in Control and Information Sciences , Edited by: Garulli , A , Tesi , A and Vicino , A . 207 – 226 . Berlin : Springer-Verlag .
   Google Scholar
• Ben-Tal , A , Boyd , S and Nemirovski , A . 2006 . Extending scope of robust optimization: Comprehensive robust counterparts of uncertain problems . Math. Program. , 107 : 63 – 89 .
   Web of Science ®Google Scholar
• Ben-Tal , A , Goryashko , A , Guslitzer , E and Nemirovski , A . 2004 . Adjustable robust solutions of uncertain linear programs . Math. Program. , 99 : 351 – 376 .
   Web of Science ®Google Scholar
• Bertsekas , DP . 2000 . Dynamic Programming and Optimal Control , 2nd edn , Vol. 1 , Belmont, MA, USA : Athena Scientific .
   Google Scholar
• Bertsekas , DP and Rhodes , IB . 1971a . On the minimax reachability of target sets and target tubes . Automatica , 7 : 233 – 247 .
   Web of Science ®Google Scholar
• Bertsekas , DP and Rhodes , IB . 1971b . Recursive state estimation for a set-membership description of uncertainty . IEEE Trans. Autom. Control , 16 : 117 – 128 .
   Web of Science ®Google Scholar
• Bertsekas , DP and Rhodes , IB . 1973 . Sufficiently informative functions and the minimax feedback control of uncertain dynamic systems . IEEE Trans. Autom. Control , AC-18 : 117 – 124 .
   Web of Science ®Google Scholar
• Blanchini , F . 1999 . Set invariance in control . Automatica , 35 : 1747 – 1767 .
   Web of Science ®Google Scholar
• Boyd , SP and Barratt , CH . 1991 . Linear Controller Design: Limits of Performance , Englewood Cliffs, NJ : Prentice Hall .
   Google Scholar
• Camacho , EF and Bordons , C . 2004 . Model Predictive Control , 2nd edn , Springer-Verlag : London .
   Google Scholar
• Chisci , L , Rossiter , JA and Zappa , G . 2001 . Systems with persistent state disturbances: predictive control with restricted constraints . Automatica , 37 : 1019 – 1028 .
   Web of Science ®Google Scholar
• Chisci , L and Zappa , G . 2002 . Feasibility in predictive control of constrained linear systems: the output feedback case . Int. J. Robust and Nonlinear Control , 12 : 465 – 487 .
   Web of Science ®Google Scholar
• Dahleh , MA and Diaz-Bobillo , IJ . 1995 . Control of Uncertain Systems , Englewoods Cliffs, NJ : Prentice Hall .
   Google Scholar
• Findeisen , R , Imsland , L , Allgöwer , F and Foss , BA . 2003 . State and output feedback nonlinear model predictive control: An overview . Eur. J. Control , 9 : 190 – 207 .
   Web of Science ®Google Scholar
• Gilbert , EG and Kolmanovsky , I . 1999 . Fast reference governors for systems with state and control constraints and disturbance inputs . Int. J. Robust and Nonlinear Control , 9 : 1117 – 1141 .
   Web of Science ®Google Scholar
• Goulart , PJ , Kerrigan , EC and Maciejowski , JM . 2006 . Optimization over state feedback policies for robust control with constraints . Automatica , 42 : 523 – 533 .
   Web of Science ®Google Scholar
• Guslitser , E . 2002 . “ Uncertainty-immunized solutions in linear programming ” . In Master's thesis , Technion : Israeli Institute of Technology .
   Google Scholar
• Kerrigan , EC and Alamo , T . June 2004 . “ A convex parameterization for solving constrained min-max problems with a quadratic cost ” . In Proceedings of 2004 American Control Conference 2220 – 2221 . Boston, , MA, USA
   Google Scholar
• Kolmanovsky , I and Gilbert , EG . 1998 . Theory and computations of disturbance invariant sets for discrete-time linear systems . Math. Prob. Eng. , 4 : 317 – 363 .
   Web of Science ®Google Scholar
• Langson , WI , Chryssochoos , I , Raković , SV and Mayne , DQ . 2004 . Robust model predictive control using tubes . Automatica , 40 : 125 – 133 .
   Web of Science ®Google Scholar
• Lee , YI and Kouvaritakis , B . 1999 . Constrained receding horizon predictive control for systems with disturbances . Int. J. Control , 72 : 1027 – 1032 .
   Web of Science ®Google Scholar
• Lee , YI and Kouvaritakis , B . 2001 . “ Receding-horizon output feedback control for systems with input saturation ” . In IEE Proceedings on Control Theory and Applications Vol. 148 , 109 – 115 .
   Google Scholar
• Löfberg , J . 2003 . “ Approximations of closed-loop MPC ” . In Proceedings of 42nd IEEE Conference on Decision and Control , 1438 – 1442 . Hawaii, , USA : Maui .
   Google Scholar
• Maciejowski , JM . 2002 . Predictive Control with Constraints , UK : Prentice Hall .
   Google Scholar
• Mayne , DQ , Rawlings , JB , Rao , CV and Scokaert , POM . 2000 . Constrained model predictive control: Stability and optimality . Automatica , 36 : 789 – 814 . Survey paper
   Web of Science ®Google Scholar
• Mayne , DQ , Raković , SV , Findeisen , R and Allgöwer , F . 2006 . Robust output feedback model predictive control of constrained linear systems . Automatica , 42 : 1217 – 1222 .
   Web of Science ®Google Scholar
• Mayne , DQ , Seron , MM and Raković , SV . 2005 . Robust model predictive control of constrained linear systems with bounded disturbance . Automatica , 41 : 219 – 24 .
   Web of Science ®Google Scholar
• Perez , T , Haimovich , H and Goodwin , GC . 2004 . On optimal control of constrained linear systems with imperfect state information and stochastic disturbances . Int. J. Robust and Nonlinear Control , 14 : 379 – 393 .
   Web of Science ®Google Scholar
• Qin , SJ and Badgwell , TA . 2003 . A survey of industrial model predictive control technology . Cont. Eng. Pract. , 11 : 733 – 764 .
   Web of Science ®Google Scholar
• Raković , SV , Kerrigan , EC , Kouramas , KI and Mayne , DQ . January 2004 . Invariant approximations of robustly positively invariant sets for constrained linear discrete-time systems subject to bounded disturbances Technical Report CUED/F-INFENG/TR.473, Cambridge University Engineering Department
   Google Scholar
• Raković , SV , Kerrigan , EC , Kouramas , KI and Mayne , DQ . March 2005 . “Invariant approximations of the minimal robust positively invariant set . IEEE Trans. Autom. Control , 50 : 406 – 410 .
   Web of Science ®Google Scholar
• Raković , SV and Mayne , DQ . 2005 . “ Regulation of discrete-time linear systems with positive state and control constraints and bounded disturbances ” . In Proceedings of 16th IFAC World Congress on Automatic Control Prague, , Czech Republic
   Google Scholar
• Richards , A and How , J . 2005 . “ Robust model predictive control with imperfect information ” . In Proceedings of 2005 American Control Conference 268 – 274 . Portland, , OR, USA
   Google Scholar
• Schweppe , F . 1968 . Recursive state estimation: Unknown but bounded errors and system inputs . IEEE Trans. Autom. Control , 13 : 22 – 28 .
   Web of Science ®Google Scholar
• Scokaert , POM and Mayne , DQ . 1998 . Min-max feedback model predictive control for constrained linear systems . IEEE Trans. Autom. Control , 43 : 1136 – 1142 .
   Web of Science ®Google Scholar
• Shamma , JS and Tu , KY . 1998 . Output feedback control for systems with constraints and saturations: scalar control case . Sys. & Control Lett. , 35 : 1 – 11 .
   Web of Science ®Google Scholar
• Shamma , JS and Tu , KY . 1999 . Set valued observers and optimal disturbance rejection . IEEE Trans. Autom. Control , 44 : 253 – 264 .
   Web of Science ®Google Scholar
• Sznaier , M and Bu , J . 1998 . Mixed ℓ1/H ∞ control of MIMO systems via convex optimization . IEEE Trans. Autom. Control , 43 : 1229 – 1241 .
   Web of Science ®Google Scholar
• van Hessem , DH and Bosgra , O . 2005 . Stochastic closed-loop model predictive control of continuous nonlinear chemical processes . J. Process Control , 16 : 225 – 241 .
   Web of Science ®Google Scholar
• Wang , YW and Rawlings , JB . 2004 . A new robust model predictive control method II: Theory and computation . J. Process Control , 14 : 231 – 247 .
   Web of Science ®Google Scholar
• Witsenhausen , HS . 1968 . A minimax control problem for sampled linear systems . IEEE Trans. Autom. Control , AC-13 : 5 – 21 .
   Web of Science ®Google Scholar
• Yan , J and Bitmead , RR . 2005 . Incorporating state estimation into model predictive control and its application to network traffic control . Automatica , 41 : 595 – 604 .
   Web of Science ®Google Scholar