Robust self-triggered control for time-varying and uncertain constrained systems via reachability analysis

This paper develops a robust self-triggered control algorithm for time-varying and uncertain systems with constraints based on reachability analysis. The resulting piecewise constant control inputs ...

[1]  D. Bertsekas,et al.  On the minimax reachability of target sets and target tubes , 1971 .

[2]  W. P. M. H. Heemels,et al.  Robust self-triggered MPC for constrained linear systems: A tube-based approach , 2016, Autom..

[3]  Ian M. Mitchell.  Scalable calculation of reach sets and tubes for nonlinear systems with terminal integrators: a mixed implicit explicit formulation , 2011, HSCC '11.

[4]  Nimrod Megiddo,et al.  Linear Programming in Linear Time When the Dimension Is Fixed , 1984, JACM.

[5]  Per Hagander,et al.  A new design of constrained controllers for linear systems , 1982, 1982 21st IEEE Conference on Decision and Control.

[6]  Yasushi Hada,et al.  Constrained Model Predictive Control , 2006 .

[7]  Paulo Tabuada,et al.  An introduction to event-triggered and self-triggered control , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[8]  Antoine Girard,et al.  Self-Triggered Control for Sampled-data Systems using Reachability Analysis , 2017 .

[9]  Basil Kouvaritakis,et al.  Regions of attraction and recursive feasibility in robust MPC , 2013, 21st Mediterranean Conference on Control and Automation.

[10]  Manfred Morari,et al.  Multi-Parametric Toolbox 3.0 , 2013, 2013 European Control Conference (ECC).

[11]  Franco Blanchini,et al.  Set-theoretic methods in control , 2007 .

[12]  Karl Henrik Johansson,et al.  Stochastic self-triggered model predictive control for linear systems with probabilistic constraints , 2018, Autom..

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

[14]  Wei Wu,et al.  Event-Triggered Control for Linear Systems Subject to Actuator Saturation , 2014 .

[15]  Daniel E. Quevedo,et al.  Self-Triggered Model Predictive Control for Network Scheduling and Control , 2012 .

[16]  Mo Chen,et al.  Decomposition of Reachable Sets and Tubes for a Class of Nonlinear Systems , 2016, IEEE Transactions on Automatic Control.

[17]  Sophie Tarbouriech,et al.  Event-triggered control with LQ optimality guarantees for saturated linear systems , 2013 .

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

[19]  Karl Henrik Johansson,et al.  Event-triggered PI control: Saturating actuators and anti-windup compensation , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[20]  Matthias Althoff,et al.  Reachability Analysis of Nonlinear Differential-Algebraic Systems , 2014, IEEE Transactions on Automatic Control.

[21]  Dimos V. Dimarogonas,et al.  Aperiodic Sampled-Data Control via Explicit Transmission Mapping: A Set-Invariance Approach , 2018, IEEE Transactions on Automatic Control.

[22]  W. P. M. H. Heemels,et al.  Robust self-triggered MPC for constrained linear systems , 2014, 2014 European Control Conference (ECC).

[23]  Wpmh Maurice Heemels,et al.  Self-triggered MPC for constrained linear systems and quadratic costs , 2012 .

[24]  David Q. Mayne,et al.  Reachability analysis of discrete-time systems with disturbances , 2006, IEEE Transactions on Automatic Control.

[25]  David Q. Mayne,et al.  Robust model predictive control of constrained linear systems with bounded disturbances , 2005, Autom..