Dynamic programming for constrained optimal control of discrete-time linear hybrid systems

[1]  Francesco Borrelli,et al.  Constrained Optimal Control of Linear and Hybrid Systems , 2003, IEEE Transactions on Automatic Control.

[2]  Alberto Bemporad,et al.  Efficient conversion of mixed logical dynamical systems into an equivalent piecewise affine form , 2004, IEEE Transactions on Automatic Control.

[3]  Alberto Bemporad,et al.  HYSDEL-a tool for generating computational hybrid models for analysis and synthesis problems , 2004, IEEE Transactions on Control Systems Technology.

[4]  Giancarlo Ferrari-Trecate,et al.  Modeling and control of co-generation power plants: a hybrid system approach , 2002, IEEE Transactions on Control Systems Technology.

[5]  Mato Baotic,et al.  Multi-object Adaptive Cruise Control , 2008, HSCC.

[6]  N. Peric,et al.  Hybrid system theory based optimal control of an electronic throttle , 2003, Proceedings of the 2003 American Control Conference, 2003..

[7]  M. Baotic,et al.  An efficient algorithm for computing the state feedback optimal control law for discrete time hybrid systems , 2003, Proceedings of the 2003 American Control Conference, 2003..

[8]  Panos J. Antsaklis,et al.  Results and Perspectives on Computational Methods for Optimal Control of Switched Systems , 2003, HSCC.

[9]  Alberto Bemporad,et al.  Hybrid Control of an Automotive Robotized Gearbox for Reduction of Consumptions and Emissions , 2003, HSCC.

[10]  M. Morari,et al.  A geometric algorithm for multi-parametric linear programming , 2003 .

[11]  Mario Vasak,et al.  Hybrid theory based optimal control of electronic throttle , 2003 .

[12]  Mato Baotic,et al.  A new algorithm for constrained finite time optimal control of hybrid systems with a linear performance index , 2003, 2003 European Control Conference (ECC).

[13]  Alberto Bemporad,et al.  The explicit linear quadratic regulator for constrained systems , 2003, Autom..

[14]  Alberto Bemporad,et al.  Model predictive control based on linear programming - the explicit solution , 2002, IEEE Transactions on Automatic Control.

[15]  E. Pistikopoulos,et al.  A multiparametric programming approach for mixed-integer quadratic engineering problems , 2002 .

[16]  Domenico Mignone,et al.  Control and estimation of hybrid systems with mathematical optimization , 2002 .

[17]  Alberto Bemporad,et al.  Hybrid Modeling and Control of a Direct Injection Stratified Charge Engine , 2002 .

[18]  T. Johansen,et al.  An algorithm for multi-parametric quadratic programming and explicit MPC solutions , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[19]  Bart De Schutter,et al.  Equivalence of hybrid dynamical models , 2001, Autom..

[20]  Alberto Bemporad,et al.  A Hybrid Approach to Traction Control , 2001, HSCC.

[21]  G. Goodwin,et al.  Global analytical model predictive control with input constraints , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[22]  Xuping Xu,et al.  A dynamic programming approach for optimal control of switched systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[23]  Christos G. Cassandras,et al.  A hierarchical decomposition method for optimal control of hybrid systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[24]  Efstratios N. Pistikopoulos,et al.  An Algorithm for the Solution of Multiparametric Mixed Integer Linear Programming Problems , 2000, Ann. Oper. Res..

[25]  Panos J. Antsaklis,et al.  Special issue on hybrid systems: theory and applications a brief introduction to the theory and applications of hybrid systems , 2000, Proc. IEEE.

[26]  J. Lygeros,et al.  A game theoretic approach to controller design for hybrid systems , 2000, Proceedings of the IEEE.

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

[28]  Alberto Bemporad,et al.  Piecewise linear optimal controllers for hybrid systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[29]  M. Branicky,et al.  Solving hybrid control problems: level sets and behavioral programming , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[30]  Martin Buss,et al.  Towards Hybrid Optimal Control , 2000 .

[31]  B. Schutter,et al.  Model predictive control for max-plus-linear systems , 2000, ACC.

[32]  B. Piccoli.  Necessary conditions for hybrid optimization , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[33]  C. Iung,et al.  Linear quadratic optimization for hybrid systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[34]  A. Rantzer,et al.  Optimal control of hybrid systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[35]  H. Sussmann,et al.  A maximum principle for hybrid optimal control problems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[36]  M. Egerstedt,et al.  On the regularization of Zeno hybrid automata , 1999 .

[37]  V. Chandru,et al.  Optimization Methods for Logical Inference , 1999 .

[38]  John Lygeros,et al.  Controllers for reachability specifications for hybrid systems , 1999, Autom..

[39]  Alberto Bemporad,et al.  Control of systems integrating logic, dynamics, and constraints , 1999, Autom..

[40]  W. Heemels.  Linear complementarity systems : a study in hybrid dynamics , 1999 .

[41]  V. Borkar,et al.  A unified framework for hybrid control: model and optimal control theory , 1998, IEEE Trans. Autom. Control..

[42]  C. Cassandras,et al.  Optimal control of a class of hybrid systems , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[43]  Manfred Morari,et al.  Propositional logic in control and monitoring problems , 1997, 1997 European Control Conference (ECC).

[44]  E. Pistikopoulos,et al.  A multiparametric programming approach for linear process engineering problems under uncertainty , 1997 .

[45]  Michael S. Branicky,et al.  Studies in hybrid systems: modeling, analysis, and control , 1996 .

[46]  John Lygeros,et al.  A Game-Theoretic Approach to Hybrid System Design , 1996, Hybrid Systems.

[47]  L. Liao,et al.  Optimal control of systems with continuous and discrete states , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[48]  R. Castelein,et al.  Constrained optimal control , 1989 .

[49]  Per-Olof Gutman.  On-Line Use of a Linear Programming Controller , 1982 .

[50]  Eduardo Sontag.  Nonlinear regulation: The piecewise linear approach , 1981 .

[51]  J. G. Evans,et al.  Postoptimal Analyses, Parametric Programming, and Related Topics , 1979 .

[52]  Richard C. Larson,et al.  Model Building in Mathematical Programming , 1979 .

[53]  Anthony V. Fiacco,et al.  Sensitivity analysis for nonlinear programming using penalty methods , 1976, Math. Program..

[54]  S. M. Robinson,et al.  A sufficient condition for continuity of optimal sets in mathematical programming , 1974 .

[55]  W. Hogan.  Point-to-Set Maps in Mathematical Programming , 1973 .

[56]  G. Dantzig,et al.  On the continuity of the minimum set of a continuous function , 1967 .