On Extended LMI Conditions for H-2 / H-infinity Control of Discrete-Time Linear Systems

© IFAC. This paper provides new insights into the currently available extended linear matrix inequality (LMI) conditions for control of discrete-time linear systems, motivating the use of two intrinsically different extended LMI characterizations for H2 performance. While these conditions are equivalent for H2 analysis and many H2 control problems related to precisely known linear time-invariant (LTI) systems, they generally yield different results when employed for multi-objective H2/H∞ control and H2 analysis and control of uncertain linear systems. The advantage of considering both the H2 LMIs for robust H2 state feedback and multi-objective H2/H∞ control design is demonstrated by means of exhaustive numerical comparisons.status: publishe