A Norm-Bounded robust MPC strategy with partial state measurements

Abstract In this paper a robust MPC scheme based on a partial-state availability is developed for uncertain discrete-time linear systems described by structured norm-bounded model uncertainties and subject to saturation and rate of variation constraints. The algorithm is based on the minimization, at each time instant, of a semi-definite convex optimization problem subject to Linear Matrix Inequalities (LMI) feasibility constraints which are derived by a judicious use of S-Procedure arguments. Numerical comparisons with competitor algorithms are finally reported by dealing with the control augmentation problem of an High Altitude Performance Demonstrator (HAPD) unmanned aircraft with redundant control surfaces.

[1]  Alessandro Casavola,et al.  Robust constrained predictive control of uncertain norm-bounded linear systems , 2004, Autom..

[2]  G. Franzé,et al.  Output feedback model predictive control of uncertain norm‐bounded linear systems , 2011 .

[3]  David Q. Mayne,et al.  Robust output feedback model predictive control of constrained linear systems: Time varying case , 2009, Autom..

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

[5]  Baocang Ding,et al.  A synthesis approach for output feedback robust constrained model predictive control , 2008, Autom..

[6]  Eric C. Kerrigan,et al.  Output feedback receding horizon control of constrained systems , 2007, Int. J. Control.

[7]  Massimiliano Mattei,et al.  A Receding Horizon Control scheme with partial state measurements: Control augmentation of a flexible UAV , 2013, 2013 Conference on Control and Fault-Tolerant Systems (SysTol).

[8]  Mark B. Tischler,et al.  Advances in Aircraft Flight Control , 1996 .

[9]  Massimiliano Mattei,et al.  Embedding norm-bounded Model Predictive Control allocation strategy for the High Altitude Performance Demonstrator (HAPD) Aircraft , 2013, 52nd IEEE Conference on Decision and Control.

[10]  Mayuresh V. Kothare,et al.  Robust output feedback model predictive control using off-line linear matrix inequalities , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[11]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[12]  B. Kouvaritakis,et al.  Receding horizon output feedback control for linear systems with input saturation , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[13]  Graham C. Goodwin,et al.  Robust output-feedback model predictive control for systems with unstructured uncertainty , 2008, Autom..

[14]  David Q. Mayne,et al.  Robust output feedback model predictive control of constrained linear systems , 2006, Autom..

[15]  Massimiliano Mattei,et al.  Fixed Structure Flight Control Design of an Over-Actuated Aircraft in the Presence of Actuators with Different Dynamic Performance , 2012, ROCOND.

[16]  D. Mayne,et al.  Moving horizon observers and observer-based control , 1995, IEEE Trans. Autom. Control..

[17]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.