A distributed model predictive control with neighborhood state feedback invariant set for reconfigurable networked systems

For a class of networked systems, this article proposed a distributed model predictive control (DMPC) design where the actual control law is composed of the solution of an independent optimization problem and a neighborhood states feedback part. By the proposed method, each subsystem‐based MPC is de...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 32; no. 9; pp. 5600 - 5618
Main Authors Zheng, Yi, Li, Shaoyuan, Hou, Bei
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.06.2022
Subjects
Control systems
Control theory
distributed model predictive control
Feedback control
invariant set
Invariants
model predictive control
Neighborhoods
networked system
Optimization
Prediction models
Predictive control
Robustness
Stability analysis
State feedback
Subsystems
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Summary:For a class of networked systems, this article proposed a distributed model predictive control (DMPC) design where the actual control law is composed of the solution of an independent optimization problem and a neighborhood states feedback part. By the proposed method, each subsystem‐based MPC is designed in a distributed way and the neighborhood feedback provides more potential for the designed DMPC to be applied to a wider class of systems. First, an LMI optimization problem is designed for determining the parameters of the neighborhood feedback matrix and corresponding invariant sets where the information of neighboring subsystems is explicitly involved. The designed feedback control law deals with the affection of the interacted subsystems and limits the deviation between the nominal model and the real system within the robust invariant set. Then, the independent suboptimal problem is developed using a predictive model without considering interconnections among subsystems, where the state is restricted by a tightened constraint which is related to the designed robust invariant set. The feasibility and stability of the closed‐loop system are analyzed. The proposed DMPC enables the direct removal or plugging‐in of subsystems. Simulation results demonstrated the effectiveness of the method.
Bibliography:Funding information
National Key R&D Program of China, 2018AAA0101701; National Natural Science Foundation of China, 62073220; 61833012
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.6111