System identification linearity tests

The PBL reactor considered in the present study is a typical batch process and the open-loop test is inadequate to identify the process. We employed a closed-loop subspace identification method. This method identifies the linear state-space model using high order ARX model. To apply the linear system identification method to the PBL reactor, we first divide a single batch into several sections according to the injection time of initiators, changes of the reactant temperature and changes of the setpoint profile, etc. Each section is assumed to be linear. The initial state values for each section should be computed in advance. The linear state models obtained for each section were evaluated through numerical simulations. 

The book is divided into four parts. Part One, which consists of six chapters, deals with basic principles and concepts of non-equilibrium thermodynamics along with discussion of experimental studies related to test and limitation of formalism. Chapter 2 deals with theoretical foundations involving theoretical estimation of entropy production for open system, identification of fluxes and forces and development of steady-state relations using Onsager reciprocity relation. Steady state in the linear range is characterized by minimum entropy production. Under these circumstances, fluctuations regress exactly as in thermodynamics equilibrium. 

For studies of hematological malignancies, the sequence-specific fluorescence probe-based systems provide the advantage of an important further test for identification of the sequence of interest by virtue of hybridization of fluo-rescently labeled internal probes to the amplified target sequence. The most commonly used sequence-specific chemistries include the exonuclease (TaqMan), the linear hybridization probe, and the hairpin-based (Molecular Beacon) systems. (See Chapter 37 for further information on nucleic acid techniques.)... 

To tackle the difficulty of the identification of the FR spectra, Do and co-workers have developed non-linear frequency response models for both isothermal and nonisothermal systems by using the concept of higher-order FRFs [23,31-33]. By applying the second order FRFs, these theoretical models are able to give unique FR spectra for the multi-kinetic mechanisms occurring in microporous material systems [33]. More parameters have to be measured experimentally, however, which needs a more complex apparatus, and there are no experimental data available yet to test the proposed models. 

---