Model construction of fuzzy relation matrices and application in intelligent environmental comfort systems

Using semi-tensor product (STP) of matrices, with observed datasets, this paper proposes a new and more general framework to construct a matrix-based fuzzy relation structure model for multi-input multi-output (MIMO) fuzzy control systems. The measured sampling data of inputs and outputs are assumed to be obtained from experiments. Instead of building the fuzzy logical rule sets of a fuzzy dynamical process, the algebraic form is constructed directly. The whole designing process can be realized via matrix expression and algebraic computing. Then this novel fuzzy controller is applied into a thermal comfort control system and works well with good controlled performance. The new technique proposes one general design method to obtain a fuzzy relation matrix expression of multiple variables fuzzy control systems. It is particularly suitable to design fuzzy controllers of non-decomposable multi-output systems, which is not solvable directly by the traditional decomposed control design methods.