Abstract
Modal functions for MIMO systems are defined by a generalized continuous-time ARMA equation that depends only on inputs, outputs, and internal system states. Modal functions are used to identify systems states and canonical forms, and for decoupling the large number of (A, B) parameters that can occur in the MIMO case. Derivation of equations that relate (A, B) parameters to modal parameters are given. By ordering output exponential modes into sets of independent subsystem modes and coupling modes an upper-triangular phase-variable form is obtained for A. The modal function is shown to be a state observer and gives a dead-beat observation of the state when there is no measurement noise.
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