NDLI: When is the naive quantized control law globally optimal?

Content Provider	IEEE Xplore Digital Library
Author	Quevedo, D.E. Goodwin, G.C.
Copyright Year	2004
Description	Author affiliation: Sch. of Electr. Eng. & Comput. Sci., Newcastle Univ., Callaghan, NSW, Australia (Quevedo, D.E.; Goodwin, G.C.)
Abstract	We investigate the properties of a control law which quantizes the unconstrained solution to a unitary horizon quadratic programme. From a quantized receding horizon point of view, this naive quantized control law is globally optimal for horizon one. However, the question arises as to whether it is also globally optimal for horizons greater than one, i.e. whether it solves (in a receding horizon sense) a multi-step quadratic programme, where decision variables are restricted to belong to a quantized set. By using dynamic programming, we develop necessary and sufficient conditions for this to hold for the case of first order plants. The results can be applied to arbitrary horizons and quantized sets, which may contain a finite or an infinite (though countable) number of elements.
Starting Page	1468
Ending Page	1476
File Size	1415233
Page Count	9
File Format	PDF
ISBN	0780388739
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-07-20
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	ASCC
Subject Keyword	Sufficient conditions Filters Networked control systems Optimal control Communication system control Quantization Control systems Electric variables control Dynamic programming Power engineering and energy
Content Type	Text
Resource Type	Article

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