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Output feedback preview tracking control for time‐varying polytopic descriptor systems
Author(s) -
Li Li,
Dong Yan,
Li Qian
Publication year - 2019
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2556
Subject(s) - control theory (sociology) , computer science , controller (irrigation) , tracking error , tracking (education) , control (management) , discrete time and continuous time , state (computer science) , signal (programming language) , control signal , control system , output feedback , control engineering , mathematics , engineering , algorithm , artificial intelligence , psychology , pedagogy , statistics , electrical engineering , agronomy , biology , programming language , telecommunications , transmission (telecommunications)
Summary This paper focuses on the problem of static output feedback preview tracking control for discrete‐time descriptor systems with time‐varying parameters subject to a previewable reference signal. First, an augmented error system including the information of the future reference signal is constructed based on the error system approach. Second, a preview control policy is constructed by integrating output feedback, preview action, and integral operation. Relying on the augmentation modeling technique, a linear preview control design problem is transformed into an equivalent augmented output‐feedback control design problem. New design conditions guaranteeing the existence of a stabilizing controller are recast as an LMI‐based feasibility problem. The proposed preview controller design method requires neither special constraints on the state‐space system matrices nor a high‐dimensional augmented error system. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.