Brief Nonlinear model predictive control with polytopic invariant sets

Authors:
M. Cannon;V. Deshmukh;B. Kouvaritakis
Affiliations:
Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, UK;Mechanical Engineering Department, University of Alaska Fairbanks, Fairbanks, AK 99775, USA;Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, UK
Venue:
Automatica (Journal of IFAC)
Year:
2003

Citing 3
Cited 10

Robust constrained model predictive control using linear matrix inequalities

Automatica (Journal of IFAC)
A Quasi-Infinite Horizon Nonlinear Model Predictive Control Scheme with Guaranteed Stability

Automatica (Journal of IFAC)
A stabilizing model-based predictive control algorithm for nonlinear systems

Automatica (Journal of IFAC)

A numerical approach to design control invariant sets for constrained nonlinear discrete-time systems with guaranteed optimality

Journal of Global Optimization
Analysis and design of output feedback control systems in the presence of actuator saturation

ACC'09 Proceedings of the 2009 conference on American Control Conference
Adaptive fault-tolerant output-feedback control of LTI systems subject to actuator saturation

ACC'09 Proceedings of the 2009 conference on American Control Conference
Stability of planar linear systems with state constraints

CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Design of state feedback controller for systems with input constrains and actuator faults

CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
On a control algorithm for time-varying processor availability

Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
Brief paper: On the computation of convex robust control invariant sets for nonlinear systems

Automatica (Journal of IFAC)
On the computation of invariant sets for constrained nonlinear systems: An interval arithmetic approach

Automatica (Journal of IFAC)
Enlarging the domain of attraction of MPC controllers

Automatica (Journal of IFAC)
Robust stability of packetized predictive control of nonlinear systems with disturbances and Markovian packet losses

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.15

Visualization

Abstract

Ellipsoidal invariant sets have been widely used as target sets in model predictive control (MPC). These sets can be computed by constructing appropriate linear difference inclusions together with additional constraints to ensure that the ellipsoid lies within a given inclusion polytope. The choice of inclusion polytope has a significant effect on the size of the target ellipsoid, but the optimal inclusion polytope cannot in general be computed systematically. This paper shows that use of polytopic invariant sets overcomes this difficulty, allowing larger stabilizable sets without loss of performance. In the interests of online efficiency, consideration is focused on interpolation-based MPC.