Event-based Model Predictive Control

Bing Zhu is an Associate Professor at the School of Automation Science and Electrical Engineering, Beihang University, China P.R. Zhigang Luo is an Engineer at AVIC XI’AN Flight Automatic Control Research Institute, China P.R. Xiangyu Meng is an Assistant Professor in the Division of Electrical and Computer Engineering at Louisiana State University, USA. Zongyu Zuo is a Professor at the School of Automation Science and Electrical Engineering, Beihang University, China P.R.

• ContributorsPrefaceAcknowledgmentsAcronyms1 Introduction1.1 Background and motivation1.2 Model predictive control1.3 MPC in the presence of uncertainties1.4 Event-based MPC1.5 Book outline2 Two-phase event-based MPC for continuous-time systems2.1 Problem statement2.2 Two-phase event-triggered MPC algorithm2.2.1 Optimiaztion formulation2.2.2 Event based α − β strategy2.2.3 Generalization of the α − β Strategy2.3 Feasibility and Stability2.3.1 Recursive feasibility of optimization2.3.2 Stability of the closed-loop system2.4 Simulation examples2.4.1 Undamped Oscillator2.4.2 Simplified spring-damper element in vehicle suspension system2.5 Conclusion3 Event-Triggered MPC for Discrete-Time Systems with Aperiodic Sampling3.1 Problem statement3.1.1 Plant to be controlled3.1.2 Formulation of optimization3.2 Aperiodic triggering mechanism3.2.1 Triggering mechanism3.2.2 Stability and feasibility3.3 Improved Aperiodic Triggering Mechanism3.3.1 Statement of improved triggering mechanism3.3.2 Feasibility and stability concerning the improved aperiodic triggering mechanism3.4 A simulation example3.5 Conclusion4 Composite Event-Triggered MPC based on Disturbance Compensation4.1 Problem Statement 84.2 Composite event-triggered MPC mechanism4.2.1 Disturbance Compensation Controller Design4.2.2 Model predictive controller design4.2.3 Composite event-triggered MPC4.2.4 Event-triggered mechanism with estimation4.3 Feasibility and stability4.3.1 Recursive feasibility4.3.2 Closed-loop stability4.4 A simulation example4.5 Conclusion5 Event-Triggered MPC with Periodic Sampling for Multi-Agent Systems5.1 Problem statement5.2 Distributed MPC design5.2.1 Terminal set and auxiliary terminal control design5.2.2 Distributed MPC framework5.3 Periodic event-triggering mechanism design5.4 Feasibility and stability5.5 A simulation example5.6 Conclusion6 Concluding remarks and future directionsBibliography