Numerical solutions of time-varying TS-fuzzy-model-based time-delay dynamic equations via orthogonal functions

Hsu, Ming-Ren; Ho, Wen-Hsien; Chou, Jyh–Horng

doi:10.1080/00207720701210720

Cited by 4 publications

(9 citation statements)

References 18 publications

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“…where k ¼ γ; γ þ 1; …; q À 1. Now, the attribute is obtained by using the following orthogonal function (Hsu et al, 2006) T ðt À τÞ ¼ HT ðtÞ (14)…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

“…where h bc denotes the elements of the time-delay operational matrix H given as described in Hsu et al (2006).…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

“…Application orthogonal functions have the following integrated property (Ho and Chou, 2006;Hsu et al, 2006) Z…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

“…where R is the m × m operational matrix of integration for the orthogonal functions given as described in Ho and Chou (2006) and Hsu et al (2006).…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

“…Now, the attribute is obtained by using the following orthogonal function (Hsu et al, 2006)…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

See 4 more Smart Citations

Optimal parallel-distributed-compensation controller design for a class of time-varying Takagi–Sugeno fuzzy model–based time-delay systems by using the orthogonal function approach–assisted genetic algorithm

Chou

Hsu

2020

Journal of Vibration and Control

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This study proposes a method of designing quadratic optimal fuzzy parallel-distributed-compensation controllers for a class of time-varying Takagi–Sugeno fuzzy model–based time-delay control systems used to solve the finite-horizon optimal control problem. The proposed method fuses the orthogonal function approach and the improved hybrid Taguchi-genetic algorithm. The Taguchi-genetic algorithm only requires algebraic computation to perform the algorithm used to solve time-varying Takagi–Sugeno fuzzy model–based time-delay feedback dynamic equations. The fuzzy parallel-distributed-compensation controller design problem is simplified by using the Taguchi-genetic algorithm to transform the static parameter optimization problem into an algebraic equation. The static optimization problem can then be solved easily by using the improved hybrid Taguchi-genetic algorithm to find the quadratic optimal parallel-distributed-compensation controllers of the time-varying Takagi–Sugeno fuzzy model–based time-delay control systems. The applicability of the proposed integrative method is demonstrated in a real-world design problem.

show abstract

“…where k ¼ γ; γ þ 1; …; q À 1. Now, the attribute is obtained by using the following orthogonal function (Hsu et al, 2006) T ðt À τÞ ¼ HT ðtÞ (14)…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

“…where h bc denotes the elements of the time-delay operational matrix H given as described in Hsu et al (2006).…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

“…Application orthogonal functions have the following integrated property (Ho and Chou, 2006;Hsu et al, 2006) Z…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

“…where R is the m × m operational matrix of integration for the orthogonal functions given as described in Ho and Chou (2006) and Hsu et al (2006).…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

“…Now, the attribute is obtained by using the following orthogonal function (Hsu et al, 2006)…”

Section: Quadratic Finite-horizon Optimal Pdc Controller Designmentioning

confidence: 99%

See 3 more Smart Citations

Optimal parallel-distributed-compensation controller design for a class of time-varying Takagi–Sugeno fuzzy model–based time-delay systems by using the orthogonal function approach–assisted genetic algorithm

Chou

Hsu

2020

Journal of Vibration and Control

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show abstract

Optimal Design of PDC Controllers for Time-Varying TS-Fuzzy-Model-Based Time-Delay Systems

Hsu

Chou

2007

2007 IEEE International Fuzzy Systems Conference

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Design of Robust Quadratic Finite-Horizon Optimal Static Output Feedback Controllers for Linear Uncertain Singular Systems

Chen

Chou

2009

IEEE Systems Journal

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Numerical solutions of time-varying TS-fuzzy-model-based time-delay dynamic equations via orthogonal functions

Cited by 4 publications

References 18 publications

Optimal parallel-distributed-compensation controller design for a class of time-varying Takagi–Sugeno fuzzy model–based time-delay systems by using the orthogonal function approach–assisted genetic algorithm

Optimal parallel-distributed-compensation controller design for a class of time-varying Takagi–Sugeno fuzzy model–based time-delay systems by using the orthogonal function approach–assisted genetic algorithm

Optimal Design of PDC Controllers for Time-Varying TS-Fuzzy-Model-Based Time-Delay Systems

Design of Robust Quadratic Finite-Horizon Optimal Static Output Feedback Controllers for Linear Uncertain Singular Systems

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