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SR30 Topicos em Engenharia |
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Title:
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SEQUENTIAL AND PARALLEL FORMS FOR THE SOLUTION OF THE ALGEBRAIC RICCATI EQUATION BY A MODIFIED-SCHUR ALGORITHM
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Summary :
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THIS WORK PROPOSES A NEW PARALLEL AND DISTRIBUTED ALGORITHM FOR THE SOLUTION OF THE ALGEBRAIC RICCATI EQUATION. THIS ALGORITHM PRESENTS A PARALLELIZATION FOR A SPECIAL IMPLEMENTATION OF THE SCHUR METHOD (LAUB,1979), WHERE THE SYMPLETIC MATRIX IS MODIFIED THROUGH STABILIZED ELEMENTARY SIMILARITY TRANSFORMATION. IN THE FIRST MODULE OF THE ALGORITHM THE SYMPLETIC MATRIX IS TRANSFORMED TO THE HESSENBERG UPPER FORM (HUF). IN THE SECOND MODULE THE FRANCIS QR ALGORITHM IS APPLIED TO THE HUF TO OBTAIN THE REAL SCHUR FORM IN A PARALLELIZED WAY. OUR PURPOSE IS TO OBTAIN THE UNIQUE SYMMETRIC, NONNEGATIVE DEFINITE SOLUTION OF THE ALGEBRAIC RICCATI EQUATION.
KEYWORDS: ALGEBRAIC RICCATI EQUATIONS, CONTROL SYSTEMS, PARALLEL AND
DISTRIBUTED COMPUTATION, MODEL IDENTIFICATION. |
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Author :
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Barreto, Gilmar 0
Bottura, Celso Pascoli
Fonseca Neto, Joćo Viana
Tamariz, Annabell Del Real
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Paper View :
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