Nonlinear model predictive control: A passivity-based Approach

Lecture Notes in Control and Information Sciences

Volumn 358, Issue 1, 2007, Pages 151-162

  Raff, Tobias ^a   Ebenbauer, Christian ^a   Allgöwer, Frank ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS; PREDICTIVE CONTROL SYSTEMS;

CLOSED LOOP STABILITY; CONTROL LYAPUNOV FUNCTION; NONLINEAR MODEL PREDICTIVE CONTROL; OPTIMAL CONTROLS; PASSIVITY BASED; STATE CONSTRAINTS; TANK SYSTEM;

MODEL PREDICTIVE CONTROL;

EID: 36048932670     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-72699-9_12     Document Type: Article

References (18)

1. R. R. Bitmead, M. Gevers, I. R. Petersen, and R. J. Kaye, "Monotonicity and Stabilizability Properties of Solutions of the Riccati Difference Equation: Propositions, Lemmas, Theorems, Fallacious Conjectures and Counterexamples", Systems and Control Letters, pages 309-315, (1985).
2. C.I. Byrnes and A. Isidori and J.C. Willems, "Passivity, Feedback Equivalence, and the Global Stabilization of Minimum Phase Nonlinear Systems", IEEE Transactions on Automatic Control, pages 1228-1240, (1991).
3. C. Chen and F. Allgöwer, "A Quasi-Infinite Horizon Nonlinear Model Predictive Control Scheme with Guaranteed Stability", Automática, pages 1205-1217, (1998).
4. C. Ebenbauer, "Control of a Quadruple Tank System", Institute for Systems Theory in Engineering Laboratory Lecture Notes, (2004).
5. R.A. Freeman P.V. Kokotovic, "Robust Nonlinear Control Design: State-Space and Lyapunov Techniques", Birkhäuser, (1996).
6. A. Jadbabaie, J. Yu, and J. Hauser, " Stabilizing receding horizon control of nonlinear systems: a control Lyapunov function approach", In Proceedings of the American Control Conference, pages 1535-1539, (1999).
7. K.H. Johansson , "The Quadruple-Tank Process: A Multivariable Laboratory Process with Adjustable Zero", IEEE Transactions on Control Systems Technology, pages 456-465 (2000).
8. R.E. Kalman, "When is a Linear Control System Optimal", Transactions of the ASME, Journal of Basic Engineering, pages 1-10, (1964).
9. S. Keerthi and E. Gilbert, "Optimal Infinite-Horizon Feeback Laws for a General Class of Constrained Discrete-Time Systems: Stability and Moving-Horizon Approximations", Journal of Optimiztaion Theory and Applications, pages 265-293 (1988).
10. U.K. Khalil, "Nonlinear Systems", Prentice Hall, (1996).
11. D.Q. Mayne and J.B. Rawlings and CV. Rao and P.O.M. Scokaert, "Constrained Model Predictive Control: Stability and Optimality", Automatica, pages 789-814, (2000).
12. P. Moylan, "Implications of Passivity for a Class of Nonlinear Systems", IEEE Transactions on Automatic Control, pages 373-381, (1974).
13. Z.K. Nagy, "Nonlinear model predictive control toolbox", (2005).
14. G. De Nicolao, L. Magni, and R. Scattolni, "Stabilizing Receding-Horizon Control of Nonlinear Time-Varying Systems", IEEE Transactions on Automatic Control, pages 1031-1037,(1998).
15. H. Michalska and D. Q. Mayne, "Robust Receding Horizon Control of Constrained Nonlinear Systems", IEEE Transactions on Automatic Control, pages 1623-1633, (1993).
16. J. A. Primbs, V. Nevistic, and J.C. Doyle, "A receding horizon generalization of pointwise min-norm controllers", IEEE Transactions on Automatic Control, pages 898-909, (2000).
17. R. Sepulchre M. Jankovic P. Kokotovic, "Constructive Nonlinear Control", Springer, (1997).
18. J.C. Willems, "Dissipative Dynamical Systems. Part I: General Theory", Archive for Rational Mechanics and Analysis, pages 321-351, (1972).