Robust Design of State-Derivative Feedback Controllers for Linear Time-Invariant Interval Systems

This paper presents a technique for state-derivative feedback control design applied to single-input and multiple-input linear time-invariant uncertain systems whose parameters belong to closed intervals. It is proposed an interval extension of a direct design method for state-derivative feedback controllers by state feedback design. It is considered a computational optimization-based procedure, formulated as an interval goal programming problem, equivalent to the interval Ackermann's equation for the robust eigenvalue placement problem. The design objective is the minimization of the overall deviation from the spectral set of the interval closed-loop polynomial related to the limits of performance specifications for the transient response.