Controller design for serial processes

Faanes, Audun; Skogestad, Sigurd

doi:10.1016/j.jprocont.2004.07.001

Cited by 10 publications

(14 citation statements)

References 19 publications

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“…Serial processes are characterized by multiple 'process units', where the output of one unit influences the output of the downstream units (Faanes & Skogestad 2005). Figure 1a shows three such processes connected in series.…”

Section: Introductionmentioning

confidence: 99%

Multiple feedback loop design in the tryptophan regulatory network of Escherichia coli suggests a paradigm for robust regulation of processes in series

Bhartiya

Chaudhary

Venkatesh

et al. 2005

J. R. Soc. Interface.

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Biological networks have evolved through adaptation in uncertain environments. Of the different possible design paradigms, some may offer functional advantages over others. These designs can be quantified by the structure of the network resulting from molecular interactions and the parameter values. One may, therefore, like to identify the design motif present in the evolved network that makes it preferable over other alternatives. In this work, we focus on the regulatory networks characterized by serially arranged processes, which are regulated by multiple feedback loops. Specifically, we consider the tryptophan system present in Escherichia coli, which may be conceptualized as three processes in series, namely transcription, translation and tryptophan synthesis. The multiple feedback loop motif results from three distinct negative feedback loops, namely genetic repression, mRNA attenuation and enzyme inhibition. A framework is introduced to identify the key design components of this network responsible for its physiological performance. We demonstrate that the multiple feedback loop motif, as seen in the tryptophan system, enables robust performance to variations in system parameters while maintaining a rapid response to achieve homeostasis. Superior performance, if arising from a design principle, is intrinsic and, therefore, inherent to any similarly designed system, either natural or engineered. An experimental engineering implementation of the multiple feedback loop design on a two-tank system supports the generality of the robust attributes offered by the design.

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Section: Introductionmentioning

confidence: 99%

Multiple feedback loop design in the tryptophan regulatory network of Escherichia coli suggests a paradigm for robust regulation of processes in series

Bhartiya

Chaudhary

Venkatesh

et al. 2005

J. R. Soc. Interface.

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“…The models in S t can be further classified as nested, chained, hierarchical or toeplitz systems (see, e.g., [3,35]…”

Section: The Structure Of the Youla Parametermentioning

confidence: 99%

“…A common class of triangular systems that can be found on real applications are those known as serial processes (see, e.g., [50,35]). Those systems are composed by several subunits that are connected in series, so that their linear models have lower (block-) triangular transfer matrices in which each (block-) row has a specific structure.…”

Section: An Application To Serial Processesmentioning

confidence: 99%

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On structurally constrained ℋ ₂ performance bounds for stable MIMO plant models

Silva

Oyarzún

Salgado

2007

IET Control Theory Appl.

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This paper is about optimal control problems in which the controller must satisfy sparsity structure constraints. Conditions are derived under which the optimal controller associated to an unconstrained quadratic performance index is naturally structured and, as a consequence, the sparsity constraint imposed on the controller has no impact on the optimal loop performance. The results are then applied to study the control of triangular plants that have to be controlled by triangular controllers. We derive explicit characterisations of the Youla parameter that defines an optimal triangular controller and of the performance loss associated to the structural restriction imposed on the controller.

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“…In the control of some multi-input multi-output (MIMO) systems, triangular structures appear as a convenient controller structure, as happens for example in serial processes [1] and vehicle formation [2]. The design of this type of controllers is usually based on a triangular plant model [3].…”

Section: Introductionmentioning

confidence: 99%

Optimal triangular approximation for linear stable multivariable systems

Oyarzún

Salgado

2007

2007 American Control Conference

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Abstract-This paper deals with the problem of obtaining a stable triangular approximation for a linear, square, stable, discrete-time MIMO system. We solve this problem through an analytic procedure that yields an explicit solution of a convex optimization problem. The optimized quantity is the L2 norm of the relative modelling error. An interesting feature of the proposed methodology is that, if the MIMO system has nonminimum phase zeros near the stability boundary, then the derived approximation has, at least, a set of zeros close to them. The usefulness of our result comes mainly from its use as nominal model in triangular controller design procedures based on a triangular plant model.

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Controller design for serial processes

Cited by 10 publications

References 19 publications

Multiple feedback loop design in the tryptophan regulatory network of Escherichia coli suggests a paradigm for robust regulation of processes in series

Multiple feedback loop design in the tryptophan regulatory network of Escherichia coli suggests a paradigm for robust regulation of processes in series

On structurally constrained ℋ ₂ performance bounds for stable MIMO plant models

Optimal triangular approximation for linear stable multivariable systems

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Controller design for serial processes

Cited by 10 publications

References 19 publications

Multiple feedback loop design in the tryptophan regulatory network of Escherichia coli suggests a paradigm for robust regulation of processes in series

Multiple feedback loop design in the tryptophan regulatory network of Escherichia coli suggests a paradigm for robust regulation of processes in series

On structurally constrained ℋ 2 performance bounds for stable MIMO plant models

Optimal triangular approximation for linear stable multivariable systems

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Resources

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On structurally constrained ℋ ₂ performance bounds for stable MIMO plant models