Design and Implementation of Hedge Algebra Controller using Recursive Semantic Values for Cart-pole System
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 algori...
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| creator | Dzoan, Nhat-Minh Mac, Thi-Thoa Ly, Hoang-Hiep Nguyen, Xuan-Thuan |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2410.15058 |
| format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.2410.15058</identifier><language>eng</language><subject>Computer Science - Systems and Control</subject><creationdate>2024-10</creationdate><rights>http://creativecommons.org/licenses/by-nc-sa/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2410.15058$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2410.15058$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dzoan, Nhat-Minh</creatorcontrib><creatorcontrib>Mac, Thi-Thoa</creatorcontrib><creatorcontrib>Ly, Hoang-Hiep</creatorcontrib><creatorcontrib>Nguyen, Xuan-Thuan</creatorcontrib><title>Design and Implementation of Hedge Algebra Controller using Recursive Semantic Values for Cart-pole System</title><description>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.</description><subject>Computer Science - Systems and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFzr0OgkAQBOBrLIz6AFbuC4CgXmJrUIOtGluywkLO3A_ZO4i-vUrsrSaZmeITYp4m8WYrZbJEfqo-Xm0-RSoTuR2Lx568aiygreBkWk2GbMCgnAVXQ05VQ7DTDd0ZIXM2sNOaGDqvbANnKjv2qie4kEEbVAk31B15qB1Dhhyi1unP-vKBzFSMatSeZr-ciMXxcM3yaFAVLSuD_Cq-umLQrf8_3kPjRhg</recordid><startdate>20241019</startdate><enddate>20241019</enddate><creator>Dzoan, Nhat-Minh</creator><creator>Mac, Thi-Thoa</creator><creator>Ly, Hoang-Hiep</creator><creator>Nguyen, Xuan-Thuan</creator><scope>AKY</scope><scope>GOX</scope></search><sort><creationdate>20241019</creationdate><title>Design and Implementation of Hedge Algebra Controller using Recursive Semantic Values for Cart-pole System</title><author>Dzoan, Nhat-Minh ; Mac, Thi-Thoa ; Ly, Hoang-Hiep ; Nguyen, Xuan-Thuan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2410_150583</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Computer Science - Systems and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Dzoan, Nhat-Minh</creatorcontrib><creatorcontrib>Mac, Thi-Thoa</creatorcontrib><creatorcontrib>Ly, Hoang-Hiep</creatorcontrib><creatorcontrib>Nguyen, Xuan-Thuan</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Dzoan, Nhat-Minh</au><au>Mac, Thi-Thoa</au><au>Ly, Hoang-Hiep</au><au>Nguyen, Xuan-Thuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design and Implementation of Hedge Algebra Controller using Recursive Semantic Values for Cart-pole System</atitle><date>2024-10-19</date><risdate>2024</risdate><abstract>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.</abstract><doi>10.48550/arxiv.2410.15058</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Systems and Control |
| title | Design and Implementation of Hedge Algebra Controller using Recursive Semantic Values for Cart-pole System |
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