Delta-Modulator-Based Quantised State Feedback Controller for T–S Fuzzy Networked Systems
- Resource Type
- Authors
- Chathura Wanigasekara; Sing Kiong Nguang; Akshya Swain; Liruo Zhang
- Source
- International Journal of Fuzzy Systems. 23:642-656
- Subject
- Computer science
Stability (learning theory)
Computational intelligence
02 engineering and technology
Telecommunications network
Fuzzy logic
Theoretical Computer Science
Computational Theory and Mathematics
Discrete time and continuous time
Artificial Intelligence
Control theory
Control system
Full state feedback
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
Software
- Language
- ISSN
- 2199-3211
1562-2479
This paper proposes a Delta-Modulator ( $$\Delta $$ -M)-based quantised state feedback controller for Takagi–Sugeno (T–S) fuzzy networked systems. The $$\Delta $$ -M (a single bit quantiser) essentially belongs to one class of sliding mode quantisers (SMQs) and offers various advantages which include lower design complexity, lower cost and less noisy. For a prescribed quantisation error, the gains of the state-feedback controller and the quantiser are derived (both in continuous and discrete time domains) using linear matrix inequalities (LMIs) which ensures the stability of the overall system. The performance of the quantised control system is illustrated considering a practical communication network based on ZigBee protocol. The results of the simulation demonstrate that the proposed $$\Delta $$ -M-based quantised controller could effectively achieve desired performance under various imperfections of the practical communication network.