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- Title
Iterative distributed model predictive control for nonlinear systems with coupled non‐convex constraints and costs.
- Authors
Wu, Jinxian; Dai, Li; Xia, Yuanqing
- Abstract
This paper proposes a distributed model predictive control (DMPC) algorithm for dynamic decoupled discrete‐time nonlinear systems subject to nonlinear (maybe non‐convex) coupled constraints and costs. Solving the resulting nonlinear optimal control problem (OCP) using a DMPC algorithm that is fully distributed, termination‐flexible, and recursively feasible for nonlinear systems with coupled constraints and costs remains an open problem. To address this, we propose a fully distributed and globally convergence‐guaranteed framework called inexact distributed sequential quadratic programming (IDSQP) for solving the OCP at each time step. Specifically, the proposed IDSQP framework has the following advantages: (i) it uses a distributed dual fast gradient approach for solving inner quadratic programming problems, enabling fully distributed execution; (ii) it can handle the adverse effects of inexact (insufficient) calculation of each internal quadratic programming problem caused by early termination of iterations, thereby saving computational time; and (iii) it employs distributed globalization techniques to eliminate the need for an initial guess of the solution. Under reasonable assumptions, the proposed DMPC algorithm ensures the recursive feasibility and stability of the entire closed‐loop system. We conduct simulation experiments on multi‐agent formation control with non‐convex collision avoidance constraints and compare the results against several benchmarks to verify the performance of the proposed DMPC method.
- Subjects
PREDICTIVE control systems; ITERATIVE learning control; QUADRATIC programming; PREDICTION models; DISCRETE-time systems; NONLINEAR systems
- Publication
International Journal of Robust & Nonlinear Control, 2024, Vol 34, Issue 11, p7220
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.7341