Dynamic Multivariable Algebraic Loop Solver for Input-Constrained Control

• 成果类型: Article
• 署名作者: Adegbege, Ambrose Adebayo; Levenson, Richard M.
• 署名单位: College of New Jersey
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3094743
• 发表日期: 2022
• 页码: 3051-3058
• 关键词: Asymptotic stability; stability analysis; Integrated circuit interconnections; Circuit stability; CONVERGENCE; Symmetric matrices; Analog circuits; Antiwindup; Constrained control; gradient system; multivariable algebraic loop; recurrent neural network

摘要

We consider a gradient-like system for real-time implementation of multivariable algebraic loops arising in input-constrained control problems. Using results from mathematical programming, we establish global asymptotic convergence under a less stringent condition as compared to existing techniques. We comment on the application of the gradient-like system in antiwindup control implementation where the closed-loop can also be interpreted within the framework of singularly perturbed systems. The proposed system can easily be realized for practical circuit implementation and may be prototyped using fast analog processors.