Separation Principle for Linear Sampled-Data Control Systems Under Observer-Based Output Feedback With Aperiodic Sampling

This paper studies a separation principle for a class of linear sampled-data control systems with aperiodic sampling. The concerned problem is to show that in aperiodic sampling, the design of observer-based output feedback controller can be broken into two separate designs: aperiodic sampled-data static state feedback controller and observer designs. It is proved that asymptotic (respectively, exponential) stabilization by the sampled-data static state feedback and asymptotic (respectively, exponential) observation by the sampled-data Luenberger observer imply asymptotic (respectively, exponential) stabilization by the sampled-data observer-based output feedback. An example is given to check the validity of the proposed theoretical claims.