Design and Implementation of Hedge Algebra Controller using Recursive Semantic Values for Cart-pole System
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913556449984512 |
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| author | Dzoan, Nhat-Minh Mac, Thi-Thoa Ly, Hoang-Hiep Nguyen, Xuan-Thuan |
| author_facet | Dzoan, Nhat-Minh Mac, Thi-Thoa Ly, Hoang-Hiep Nguyen, Xuan-Thuan |
| contents | This paper presents a novel approach to designing a Hedge Algebra Controller named Hedge Algebra Controller with Recursive Semantic Values (RS-HAC). This approach incorporates several newly introduced concepts, including Semantically Quantifying Simplified Mapping (SQSM) featuring a recursive algorithm, Infinite General Semantization (IGS), and Infinite General De-semantization (IGDS). These innovations aim to enhance the optimizability, scalability, and flexibility of hedge algebra theory, allowing the design of a hedge algebra-based controller to be carried out more efficiently and straightforward. An application of stabilizing an inverted pendulum on a cart is conducted to illustrate the superiority of the proposed approach. Comparisons are made between RS-HAC and a fuzzy controller of Takagi-Sugeno type (FC), as well as a linear quadratic regulator (LQR). The results indicate that the RS-HAC surpasses the FC by up to 400\% in control efficiency and is marginally better than the LQR regarding transient time in balancing an inverted pendulum on a cart. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15058 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Design and Implementation of Hedge Algebra Controller using Recursive Semantic Values for Cart-pole System Dzoan, Nhat-Minh Mac, Thi-Thoa Ly, Hoang-Hiep Nguyen, Xuan-Thuan Systems and Control This paper presents a novel approach to designing a Hedge Algebra Controller named Hedge Algebra Controller with Recursive Semantic Values (RS-HAC). This approach incorporates several newly introduced concepts, including Semantically Quantifying Simplified Mapping (SQSM) featuring a recursive algorithm, Infinite General Semantization (IGS), and Infinite General De-semantization (IGDS). These innovations aim to enhance the optimizability, scalability, and flexibility of hedge algebra theory, allowing the design of a hedge algebra-based controller to be carried out more efficiently and straightforward. An application of stabilizing an inverted pendulum on a cart is conducted to illustrate the superiority of the proposed approach. Comparisons are made between RS-HAC and a fuzzy controller of Takagi-Sugeno type (FC), as well as a linear quadratic regulator (LQR). The results indicate that the RS-HAC surpasses the FC by up to 400\% in control efficiency and is marginally better than the LQR regarding transient time in balancing an inverted pendulum on a cart. |
| title | Design and Implementation of Hedge Algebra Controller using Recursive Semantic Values for Cart-pole System |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2410.15058 |