NDLI: Pole assignment with improved control performance by means of periodic feedback

Content Provider	IEEE Xplore Digital Library
Author	Lavaei, J. Sojoudi, S. Aghdam, A.G.
Copyright Year	2007
Description	Author affiliation: California Inst. of Technol., Pasadena (Lavaei, J.; Sojoudi, S.; Aghdam, A.G.)
Abstract	This paper is concerned with the pole placement of continuous-time LTI systems by means of periodic feedback. It is known that any desired pole placement can be achieved for a controllable and observable LTI system by using a proper controller. The corresponding control law, however, is not unique in general. Analogously, a generalized sampled-data hold function (GSHF) which places the modes of the discrete-time equivalent model of a continuous-time system at the desired locations in the complex plane is not unique. This paper aims to present a systematic method to attain a GSHF which not only does it satisfy the pole-placement criterion, but it also results in an optimal performance for the original continuous-time system. To this end, the GSHF being sought is written as the sum of a particular GSHF and a homogeneous GSHF. The particular GSHF can be obtained using any existing methods. To characterize the homogeneous GSHF, a set of basis functions is constructed (e.g., in the form of polynomials or Fourier exponentials). Then, it is shown any linear combination of the constructed basis functions is, in fact, a homogeneous GSHF. To find the optimal homogeneous GSHF (associated with the particular GSHF obtained before), a pre-specified LQ performance index is considered. The corresponding optimization problem is then formulated in a LMI framework. The method proposed here can be simply extended to the case when a structurally constrained GSHF (such as a block-diagonal one for a decentralized system) is to be designed. The efficacy of this work is demonstrated in an illustrative example.
Starting Page	1082
Ending Page	1087
File Size	172132
Page Count	6
File Format	PDF
ISBN	9781424414970
ISSN	01912216
DOI	10.1109/CDC.2007.4435018
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control systems State feedback Java Robust control USA Councils Polynomials Performance analysis Robots Quantization Signal processing
Content Type	Text
Resource Type	Article

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