WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 14, 2015
Spectrum Shaping Based Control Strategy for Unstable TDS
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Abstract: Two possible controller parameters tuning methodologies based on the computational shaping of zeros/poles spectrum of unstable time delay systems (TDS) are presented. Namely, the spectral abscissa minimization based on Quasi-Continuous Shifting Algorithm (QCSA) followed by an advanced iterative optimization algorithm, and the Pole Placement Shifting based Algorithm (PPSA) moving the dominant poles and/or zeros of infinite spectra to the prescribed positions as close as possible step by step are introduced. These desired loci can be determined by a finite-dimensional model matching problem. In contrast to works we extend and to our previous works, the paper concerns unstable TDS in the sense of exponential stability and, moreover, both retarded and neutral TDS are considered. As presented by numerical examples, both the methodologies are closely related to each other and the latter one can collapse close to the former one. The reader is also provided with potential ideas of the future research within this task.
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Keywords: Model matching, Optimization, Root locus, Spectrum shaping, Unstable system, Time-delay systems
Pages: 203-214
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 14, 2015, Art. #18