Guaranteed Cost Control of State-Delay System Based on the Equivalent-Input-Disturbance Approach | Zendy

Fang Gao | Zendy; Min Wu | Zendy; Jinhua She | Zendy; Pan Yu | Zendy

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Guaranteed Cost Control of State-Delay System Based on the Equivalent-Input-Disturbance Approach

Author(s) -

Fang Gao,

Min Wu,

Jinhua She,

Pan Yu

Publication year - 2016

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2016.p0246

Subject(s) - control theory (sociology) , linear matrix inequality , computer science , state observer , state (computer science) , lyapunov function , disturbance (geology) , control (management) , observer (physics) , stability (learning theory) , control system , mathematical optimization , mathematics , nonlinear system , algorithm , engineering , paleontology , physics , quantum mechanics , artificial intelligence , machine learning , electrical engineering , biology

This paper considers a guaranteed cost control problem for state-delay systems with exogenous disturbances for a proper plant. The equivalent-input-disturbance (EID) approach is extended to be able to handle a state-delay system. A new control law is constructed that incorporates an EID estimate in order to ensure a satisfactory control performance. A stability condition for the closed-loop system is provided in terms of a linear matrix inequality, using the Lyapunov function method. Furthermore, a guaranteed cost control state feedback control law and a state observer are designed, based on the linear matrix inequality (LMI). Two numerical examples are provided to demonstrate the validity of the method.

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