Hautus type controllability conditions by control constraints for distributed systems

Shklyar, B.

doi:10.1016/s0362-546x(96)00371-9

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2003

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“…These systems are infinite dimensional in a sense that the corresponding state variables belong to the infinite-dimensional linear spaces such as the Lebesgue or more generally the Sobolev spaces. One has developed, for example, functional analytic (see, e.g., [1,4,7,16,26]) and algebraic (e.g., [9,20,23]) methods to study these systems. Two of the main issues are the controllability and (asymptotic) output tracking of the system.…”

Section: Introductionmentioning

confidence: 99%

On controllability, parametrization, and output tracking of alinearized bioreactor model

Tervo

Nihtilä

Kokkonen

2003

Journal of Applied Mathematics

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The paper deals with a distributed parameter system related to the socalled fixed-bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when certain algebraic equations hold. We apply frequency-domain methods (transfer function analysis) to consider a related output tracking problem. The input-output system can be formulated as a translation invariant pseudodifferential equation. A simulation shows that the calculation scheme is stable. An idea to use frequency-domain methods and certain pseudodifferential operators for parametrization of control systems of more general systems is pointed out.

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