Asymptotic Tracking for Nonminimum Phase Linear Systems via Steady-State Compensation

• 成果类型: Article
• 署名作者: Galeani, Sergio; Possieri, Corrado; Sassano, Mario
• 署名单位: Sapienza University Rome; Consiglio Nazionale delle Ricerche (CNR)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3036343
• 发表日期: 2021
• 页码: 4176-4183
• 关键词: Linear systems; trajectory; steady-state; Boundary value problems; regulators; regulation; Eigenvalues and eigenfunctions; hybrid systems; Linear systems; nonminimum phase; output tracking; periodic optimal control; two-point boundary value problem (TPBVP)

摘要

The problem of output tracking is addressed in this article by a reformulation in terms of a two-point boundary value problem for the plant's zero dynamics, which is allowed to be unstable. On this basis, a hybrid feedback regulator ensuring output tracking is then designed. The robustness properties of the proposed regulator as well as connections with periodic (cheap) optimal control, output regulation, and possible extensions to the nonlinear setting are also discussed.