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MIMO Systems Properties Preservation Under SPR Substitutions

2004; Institute of Electrical and Electronics Engineers; Volume: 51; Issue: 5 Linguagem: Inglês

10.1109/tcsii.2004.824050

1558-125X

Guillermo Fernández‐Anaya, Juan Carlos Martínez‐García, V. Kučera, D. Aguilar-George,

Control Systems and Identification

The preservation of some control-oriented positive real properties (passivity, positivity, bounded realness, as well as input-output behavior) in multi-input multi-output transfer functions is studied, when performing substitutions (of the complex Laplace variable s) by a particular class of rational strictly positive real (SPR) functions, the so-called SPR functions of zero relative degree (SPR0 functions). We also consider here the preservation of stability properties of a class of unforced linear time-invariant systems with memoryless (possibly time-varying nonlinear) input depending on the system output.