Control of a Continuous-time Stirred Tank Reactor via Robust Static Output Feedback

This paper presents the application of robust static output feedback control (RSOFC) to an exothermic continuous-time stirred tank reactor (CSTR) with parametric uncertainties. Necessary and sufficient conditions for stabilization of a linear continuous-time uncertain polytopic system via static output feedback are given at first. Then the problem of RSOFC design is converted to solution of linear matrix inequalities (LMIs) and a computationally simple LMI based non-iterative algorithm is used. The design procedure guarantees with sufficient conditions the robust quadratic stability and guaranteed cost. The possibility to use a robust static output feedback for control of CSTRs with uncertainties is demonstrated by simulation results