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Disturbance Decoupling of Boolean Control Networks

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1 Author(s)
Daizhan Cheng ; Key Lab. of Syst. & Control, Chinese Acad. of Sci., Beijing, China

Disturbance decoupling problem (DDP) of Boolean control networks is considered. Using semi-tensor product of matrices and the matrix expression of logical functions, a working procedure is proposed to solve the problem. This procedure consists of two key design steps. First, how to convert a system into an output-friendly coordinate frame. An algorithm is provided to calculate the output-friendly subspaces. Secondly, it was shown how to find proper controllers to solve the problem if it is solvable. A state variable separation form is introduced to guide the design of controllers. Based on the design technique, necessary and sufficient conditions are obtained for the solvability of DDP.

Published in:

Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 1 )