Most of the design techniques of T-S fuzzy controllers assumes that there exists an approximate T-S model of the system with fixed antecedent parts & rules and uses techniques like GA, LMI, etc for the optimal design of the gain values. This paper presents a novel integrated approach for the design and stability analysis of T-S fuzzy controllers using GA with variable length chromosomes (VLCs) and LMI. This approach helps to find out the optimal parameters of the antecedent parts of the rules along with rule optimization and also to optimize the consequent parts.
R. Rajesh and Kaimal, M. R., “GAVLC: GA with Variable Length Chromosome for the simultaneous design and stability analysis of T-S fuzzy controllers”, in Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on, Hong Kong, 2008.