Digital interval modeling and hybrid control of uncertain materials and structures

Leang-San Shieh; Xiang Zou; Norman P. Coleman

doi:10.1117/12.208872

5 May 1995 Digital interval modeling and hybrid control of uncertain materials and structures

Leang-San Shieh, Xiang Zou, Norman P. Coleman

Proceedings Volume 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures; (1995) https://doi.org/10.1117/12.208872
Event: Smart Structures and Materials '95, 1995, San Diego, CA, United States

Abstract

This paper deals with the problems of converting a continuous-time uncertain system to an equivalent discrete-time interval model and constructing a robust hybrid control law for an uncertain sampled-data system. The system matrices characterizing the state-space representation of the original uncertain materials and structures are assumed to be interval matrices. The Pade approximation method together with interval arithmetic is employed to obtain the approximate discrete-time interval models. A technique is developed to estimate the less conservative modeling errors. These modeling errors are used to modify the obtained Pade interval approximants. The resulting modified interval models are able to tightly enclose the exact discrete-time uncertain model. Various digitally redesigned nominal controllers, which are developed for digital control of continuous-time nominal systems, are extended to the corresponding interval controllers for robust digital control of continuous-time uncertain systems. Using the digitally redesigned interval controllers, the dynamic states of the digitally controlled sampled-data uncertain systems are able to closely match with those of the original analogously controlled continuous-time uncertain systems for a relatively longer sampling period.

Citation Download Citation

Leang-San Shieh, Xiang Zou, and Norman P. Coleman "Digital interval modeling and hybrid control of uncertain materials and structures", Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); https://doi.org/10.1117/12.208872

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KEYWORDS

Control systems

Matrices

Systems modeling

Error analysis

Amplifiers

Modeling

Statistical modeling

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