Optimal approximation of linear systems using Taguchi-sliding-based differential evolution algorithm

Tsai, Jinn-Tsong; Ho, Wen-Hsien; Chou, Jyh–Horng; Guo, Ching-Yi

doi:10.1016/j.asoc.2010.06.016

Cited by 16 publications

(4 citation statements)

References 30 publications

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“…The detailed steps of the TSBDEA are described in the following. Besides, the additional details regarding the TSBDEA can be found in the work proposed by Chou and his associates .…”

Section: Robust‐optimal Pdc Controllers Designmentioning

confidence: 99%

“…The proposed new integrative method considers directly minimizing the quadratic finite‐horizon integral performance index subject to the constraint of robust stabilizability in designing the robust‐optimal fuzzy PDC controllers with low trajectory sensitivity. The reason why the TSBDEA is applied in this paper is that Chou (the third author of this paper) and his associates have shown that the TSBDEA may obtain both the better and more robust results than those existing differential evolution algorithms reported in the literatures . An illustrative example is given to demonstrate the applicability of the proposed new integrative method.…”

Section: Introductionmentioning

confidence: 99%

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Design of robust‐optimal controllers with low trajectory sensitivity for uncertain Takagi–Sugeno fuzzy model systems using differential evolution algorithm

Chen

Chou

et al. 2011

Optim Control Appl Methods

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SUMMARYBy integrating the robust stabilizability condition, the orthogonal-function approach (OFA) and the Taguchi-sliding-based differential evolution algorithm (TSBDEA), an integrative computational approach is presented in this paper to design the robust-optimal fuzzy parallel-distributed-compensation (PDC) controller with low trajectory sensitivity such that (i) the Takagi-Sugeno (TS) fuzzy model system with parametric uncertainties can be robustly stabilized, and (ii) a quadratic finite-horizon integral performance index for the nominal TS fuzzy model system can be minimized. In this paper, the robust stabilizability condition is proposed in terms of linear matrix inequalities (LMIs). Based on the OFA, an algebraic algorithm only involving the algebraic computation is derived for solving the nominal TS fuzzy feedback dynamic equations. By using the OFA and the LMI-based robust stabilizability condition, the robust-optimal fuzzy PDC control problem for the uncertain TS fuzzy dynamic systems is transformed into a static constrainedoptimization problem represented by the algebraic equations with constraint of LMI-based robust stabilizability condition; thus, greatly simplifying the robust-optimal PDC control design problem. Then, for the static constrained-optimization problem, the TSBDEA has been employed to find the robust-optimal PDC controllers with low trajectory sensitivity of the uncertain TS fuzzy model systems. A design example is given to demonstrate the applicability of the proposed new integrative approach.

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“…The detailed steps of the TSBDEA are described in the following. Besides, the additional details regarding the TSBDEA can be found in the work proposed by Chou and his associates .…”

Section: Robust‐optimal Pdc Controllers Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of robust‐optimal controllers with low trajectory sensitivity for uncertain Takagi–Sugeno fuzzy model systems using differential evolution algorithm

Chen

Chou

et al. 2011

Optim Control Appl Methods

Self Cite

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“…Noman and Iba [16] proposed a local search technique by adaptively adjusting the length of the search, using a hill-climbing heuristic. This study proposes a robust Taguchi-crossover operation for local search to enhance DE and to find improved offspring [29][30][31][32]. The Taguchicrossover differential evolution (TCDE) algorithm integrates a cosine similarity measure and an evaluation function to successfully find the best weights of document keywords for auto-reply accuracy in an e-learning system.…”

Section: Introductionmentioning

confidence: 99%

Optimized weights of document keywords for auto-reply accuracy

Tsai

2014

Neurocomputing

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“…For other population-based algorithms such as the GA [6], PSO [7], and DE [8] encountering the same problem, it has been observed that using the OA increases the convergence performance. On the other hand, to the best of our knowledge, the effect of the OA on the performance of the GSA has not been investigated yet.…”

Section: Introductionmentioning

confidence: 99%

Orthogonal array based performance improvement in the gravitational search algorithm

Altınöz¹,

Yilmaz²,

Weber³

2013

Turkish Journal of Electrical Engineering and Computer Sciences

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Optimal approximation of linear systems using Taguchi-sliding-based differential evolution algorithm

Cited by 16 publications

References 30 publications

Design of robust‐optimal controllers with low trajectory sensitivity for uncertain Takagi–Sugeno fuzzy model systems using differential evolution algorithm

Design of robust‐optimal controllers with low trajectory sensitivity for uncertain Takagi–Sugeno fuzzy model systems using differential evolution algorithm

Optimized weights of document keywords for auto-reply accuracy

Orthogonal array based performance improvement in the gravitational search algorithm

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