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Article overview
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Distributed Continuous-Time Optimization with Time-Varying Objective Functions and Inequality Constraints | Shan Sun
; Wei Ren
; | Date: |
4 Sep 2020 | Abstract: | This paper is devoted to the distributed continuous-time optimization problem
with time-varying objective functions and time-varying nonlinear inequality
constraints. Different from most studied distributed optimization problems with
time-invariant objective functions and constraints, the optimal solution in
this paper is time varying and forms a trajectory. To minimize the global
time-varying objective function subject to time-varying local constraint
functions using only local information and local interaction, we present a
distributed control algorithm that consists of a sliding-mode part and a
Hessian-based optimization part. The asymptotical convergence of the proposed
algorithm to the optimal solution is studied under suitable assumptions. The
effectiveness of the proposed scheme is demonstrated through a simulation
example. | Source: | arXiv, 2009.02378 | Services: | Forum | Review | PDF | Favorites |
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