Frequency analysis for mixed continuous-time and discrete-time periodic systems

In this paper mixed continuous-time and discrete-time periodic systems are analyzed in the frequency domain taking the intersample behavior into account. By the presented model structure it is possible to analyze a couple of different control problems in a common framework. The suggested approach is very similar to the one presented by Yamamoto and Khargonekar. The fundamental differences are that the solution is generated, not via the lifted model, but more directly based on the transition matrix of a continuous-time periodic system with jumps. The hybrid model that is analyzed is very clean, but is general compared to model structures considered before.