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The purpose of this paper is to propose an answer to the title's question, and examine the ramifications of the provided answer. Our proposition is to quantify the nonlinearity of a system by a carefully defined 2-norm, which results from a newly constructed inner product. We develop the pertinent theory which allows the easy computation of this norm for a broad class of nonlinear dynamic systems,...
An improved reactor design for the emulsion polymerization process which incorporates the known concepts of a plug flow pre - reactor and split feed operation has been described. The reactor configuration eliminates oscillations in the latex properties and offers potential savings in capital and operating costs. The Vogel-Edgar multivariable controller has been applied to the reactor system, the major...
In this study, an adaptive control strategy is applied to a digital simulation describing the continuous polymerization of MMA. The reactor model illustrates unusual process dynamics such as multiple steady states, limit cycles, and steady state instabibilities. This dissipative behavior results from the autocatalytic nature of polymerization reactions owing primarily to the "gel effect."...
An explicit self-tuning controller is developed that incorporates closed-loop pole location as the principal design criterion for the method of Clarke and Gawthrop. The algorithm includes a variable dead-time compensator to deal with unknown or time-varying delay, and a new method of treating steady-state offset. A technique has been developed and included in the algorithm that enables the controller...
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