Computer Science / Numerical Analysis Mathematics / math.CA Mathematics / math.OC

Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?

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#Mathematics #Model #Numerical Analysis #Computer Science

📝 Original Info

  • Title: Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?
  • ArXiv ID: 0904.0322
  • Date: 2009-04-03
  • Authors: Researchers from original ArXiv paper

📝 Abstract

We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to "intelligent" PID controllers, the tuning of which becomes quite straightforward, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiation. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments.

💡 Deep Analysis

Deep Dive into Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?.

We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to “intelligent” PID controllers, the tuning of which becomes quite straightforward, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiation. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments.

📄 Full Content

, u, u, . . . , u (b)

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´ µ ¹ÈÁ ÓÒØÖÓÐ ´ ´ µ ¹ÈÁ ÓÒØÖÓÐ

´ ´ µ ¹ÈÁ ÓÒØÖÓÐ ´

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´ µ ÓÒØÖÓÐ u 1 ´ µ ¹ÈÁ Ö Ö Ò × ´¹ ¹µ Ò ÓÙØÔÙØ× ´ µ ÓÑÑ Ò ´ µ ÓÑÑ Ò ´ µ ÓÑÑ Ò ´ µ Ê Ö Ò ´¹ ¹µ Ò ÓÙØÔÙØ ´ µ ÓÒØÖÓÐ ´ µ Ê Ö Ò ´¹ ¹µ ÓÙØÔÙØ ´ ´ µ Ê Ö Ò × ´¹ ¹µ ÓÙØÔÙØ× ´ µ u ´ µ u ⋆ ´¹ ¹µ ´ µ u ´ µ u ⋆ ´¹ ¹µ ´ µ u ´ µ u ⋆ ´¹ ¹µ u ⋆ Ô ÖØ ´º ºµ ´

´ µ u ´ µ u ⋆ ´¹ ¹µ ´ µ u ´ µ u ⋆ ´¹ ¹µ u ⋆ Ô ÖØ ´º ºµ ´ µ u ´ µ u ⋆ ´¹ ¹µ ´ µ u ´ µ u ⋆ ´¹ ¹µ u ⋆ Ô ÖØ ´º ºµ

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Reference

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