LMI based loop shaping control of biological circuits

Over the past few decades there has been a lot of work in the field of synthetic biology, in order to understand the underlying concepts and cast them as a problem in chemistry, mathematics or engineering. Moulding it into control engineering, the majority of the problems arise, either due to synthesizability of the designed controller (as a Biological unit) or tackling robustness in a multi-network, to achieve the desired specifications. In this paper, we stress on how a biologically synthesizable robust controller could be designed using a novel approach of Linear Matrix Inequality (LMI) based loop shaping.