Approximation state-space model for 2×2 hyperbolic systems with collocated boundary inputs

摘要: The paper discusses an approximation model developed for linear hyperbolic DPS with two state variables and collocated boundary inputs, expressed in classical, finite-dimensional state-space framework. Using the method of lines approach backward difference scheme, original PDEs are transformed into a set ODEs form equations matrix-valued state, input output operators. eigenvalues steady-state solutions analyzed. considerations illustrated parallel-flow double-pipe heat exchanger. Steady-state frequency-domain responses obtained from its PDE compared those calculated ODE approximations different orders.