Stability and Fuel Economy of Nonlinear Vehicle Platoons: A Distributed Economic MPC Approach

This paper proposes a novel distributed economic model predictive control (EMPC) strategy with guaranteed stability and fuel economy for a nonlinear vehicle platoon subject to the state and control constraints. In order to minimize the fuel consumption of the vehicle platoon, a Lyapunov-based contractive constraint is imposed into the distributed economic MPC optimization problem to establish recursive feasibility and stability. A $\gamma$ -gain stability condition is further derived to ensure the neighbor $\gamma$ -gain stability of the vehicle platoon control system. Some simulation results indicate that the vehicle platoon can be achieved a stringent formation, $\gamma$ -gain stability and better economic performance under the proposed control strategy.

[1]  Pierluigi Pisu,et al.  A fuel economic model predictive control strategy for a group of connected vehicles in urban roads , 2015, 2015 American Control Conference (ACC).

[2]  Riccardo Scattolini,et al.  Model Predictive Control Schemes for Consensus in Multi-Agent Systems with Single- and Double-Integrator Dynamics , 2009, IEEE Transactions on Automatic Control.

[3]  Panagiotis D. Christofides,et al.  Distributed model predictive control of nonlinear systems subject to asynchronous and delayed measurements , 2010, Autom..

[4]  William B. Dunbar,et al.  Distributed receding horizon control for multi-vehicle formation stabilization , 2006, Autom..

[5]  Riccardo Scattolini,et al.  A stabilizing model-based predictive control algorithm for nonlinear systems , 2001, Autom..

[6]  Huiping Li,et al.  Distributed receding horizon control of large-scale nonlinear systems: Handling communication delays and disturbances , 2014, Autom..

[7]  David Angeli,et al.  Economic optimization using model predictive control with a terminal cost , 2011, Annu. Rev. Control..

[8]  Colin Neil Jones,et al.  On convergence and performance certification of a continuous-time economic model predictive control scheme with time-varying performance index , 2016, Autom..

[9]  Jonathan P. How,et al.  Distributed Robust Receding Horizon Control for Multivehicle Guidance , 2007, IEEE Transactions on Control Systems Technology.

[10]  Moritz Diehl,et al.  A Lyapunov Function for Economic Optimizing Model Predictive Control , 2011, IEEE Transactions on Automatic Control.

[11]  William B. Dunbar,et al.  Distributed Receding Horizon Control of Vehicle Platoons: Stability and String Stability , 2012, IEEE Transactions on Automatic Control.

[12]  Panagiotis D. Christofides,et al.  Economic model predictive control of nonlinear process systems using Lyapunov techniques , 2012 .

[13]  David Angeli,et al.  On Average Performance and Stability of Economic Model Predictive Control , 2012, IEEE Transactions on Automatic Control.

[14]  F. Allgöwer,et al.  A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability , 1997 .

[15]  Defeng He,et al.  Economic MPC with a contractive constraint for nonlinear systems , 2016 .

[16]  Huiping Li,et al.  Distributed receding horizon control of constrained nonlinear vehicle formations with guaranteed γ-gain stability , 2016, Autom..

[17]  Panagiotis D. Christofides,et al.  On finite-time and infinite-time cost improvement of economic model predictive control for nonlinear systems , 2014, Autom..

[18]  Marios M. Polycarpou,et al.  Cooperative Constrained Control of Distributed Agents With Nonlinear Dynamics and Delayed Information Exchange: A Stabilizing Receding-Horizon Approach , 2008, IEEE Transactions on Automatic Control.

[19]  Bin Liu,et al.  Model Predictive Flocking Control of the Cucker-Smale Multi-Agent Model With Input Constraints , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  F. Fontes A General Framework to Design Stabilizing Nonlinear Model Predictive Controllers , 2001 .

[21]  Eduardo Camponogara,et al.  Distributed model predictive control , 2002 .

[22]  Lei Wang,et al.  On stability of multiobjective NMPC with objective prioritization , 2015, Autom..

[23]  David Q. Mayne,et al.  Model predictive control: Recent developments and future promise , 2014, Autom..

[24]  V. Zavala A Multiobjective Optimization Perspective on the Stability of Economic MPC , 2015 .