GPC with Structured Perturbations: The Influence of Prefiltering and Terminal Equality Constraints | Zendy

C. Mañoso | Zendy; A.P. de Madrid | Zendy; Miguel Romero | Zendy; Roberto Hernández | Zendy

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GPC with Structured Perturbations: The Influence of Prefiltering and Terminal Equality Constraints

Author(s) -

C. Mañoso,

A.P. de Madrid,

Miguel Romero,

Roberto Hernández

Publication year - 2012

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2012/623484

Subject(s) - terminal (telecommunication) , counterexample , model predictive control , stability (learning theory) , control theory (sociology) , work (physics) , mathematics , robust control , mathematical optimization , control (management) , computer science , engineering , control system , artificial intelligence , discrete mathematics , machine learning , mechanical engineering , telecommunications , electrical engineering

It is widely accepted that in order to improve the robust stability of generalized predictive control (GPC), the use of a prefilter and terminal equality constraints plays a fundamental role. In this work it is shown with straightforward counterexamples how, in the presence of structured uncertainties, neither the prefilter nor the equality constraints guarantee that the robust stability is improved. In fact, it can even worsen compared with “conventional” GPC.

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