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Robust H2 analysis and design for interval state-space systems

The paper considers robust H2 control problem of continuous-time interval state-space systems. A necessary and sufficient LMI-based condition is derived for analysis of quadratic stability and robust H2 control. Using the analysis result, a state feedback controller and a static output feedback controller can be designed so that the closed-loop interval state-space system is quadratically stable and all its transfer matrices have H2 -norm bounded by a prescribed value. Two LMI-based conditions are derived respectively for the solvability of above design problems. To the best of authors' knowledge, the result about performance of interval state-space system is scarce in the literature. This paper seems the first one attempting to deal with robust H2 control analysis and design for interval state-space systems.