An LMI-based approach to critical control system design for rate-limited exogenous inputs

This paper considers a linear matrix inequality approach to the design of critical control systems for rate-limited exogenous inputs. The sufficient condition for ensuring the critical requirement is derived from the exponential convergence condition of the unit step response. By changing the variables, it is transformed into the set of BMI and LMI conditions. The problem amounts to a convex feasibility problem with a line search. The obtained controller has the same order as a plant. To show the validity of the proposed method, a numerical example of multi-conditioned critical control system design is presented.