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Quantized output‐feedback guaranteed cost control for discrete‐time large‐scale interconnected systems with actuator faults
Author(s) -
Priyanka S.,
Sakthivel R.,
Tharanidharan V.,
Nithya V.
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5574
Subject(s) - control theory (sociology) , actuator , linearization , convex optimization , linear matrix inequality , quantization (signal processing) , lyapunov stability , exponential stability , feedback linearization , logarithm , discrete time and continuous time , lyapunov function , computer science , mathematics , regular polygon , control (management) , mathematical optimization , nonlinear system , algorithm , mathematical analysis , statistics , physics , geometry , quantum mechanics , artificial intelligence
This paper investigates the problem of designing a decentralized static output feedback control for a class of large‐scale interconnected discrete‐time systems with quantized signals and time‐varying actuator faults wherein the control input is quantized by means of logarithmic quantizer to avoid chattering. Based on Lyapunov stability theory together with the improved reciprocally convex approach, sufficient conditions are derived in terms of linear matrix inequalities. Specifically, with the aid of cone complementarity linearization technique, the control law is derived which ensures the asymptotic stabilization of considered system with prescribed H ∞ performance index and also guarantees optimum cost bound in spite of quantization and fault occurs. Finally, numerical examples are provided to demonstrate the significance of the designed control method.