A study on solution of matrix riccati differential equations using ant colony programming and simulink / Mohd Zahurin Mohamed Kamali
Swarm intelligence is a modern artificial intelligence discipline that is concerned with the design and optimization of multiagent systems with applications in robotics. This non-traditional approach is fundamentally different from the traditional approaches. In- stead of a sophisticated controll...
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| Format: | Thesis |
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2015
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| Online Access: | http://studentsrepo.um.edu.my/6503/ http://studentsrepo.um.edu.my/6503/1/MZMKPhD30Aug_Thesis.pdf |
| _version_ | 1848773182895423488 |
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| author | Mohamed Kamali, Mohd Zahurin |
| author_facet | Mohamed Kamali, Mohd Zahurin |
| author_sort | Mohamed Kamali, Mohd Zahurin |
| building | UM Research Repository |
| collection | Online Access |
| description | Swarm intelligence is a modern artificial intelligence discipline that is concerned with
the design and optimization of multiagent systems with applications in robotics. This
non-traditional approach is fundamentally different from the traditional approaches. In-
stead of a sophisticated controller that governs the global behavior of the system, the
swarm intelligence principle is based on many unsophisticated entities (for example such
as ants, termites, bees etc.) that cooperate and interact in order to exhibit a desired behav-
ior. In this thesis, we implement the modified ant colony programming (ACP) algorithm
for solving the matrix Riccati differential equation (MRDE). Solving MRDE, especially
nonlinear MRDE is the central issue in optimal control theory. It has been found that by
implementing the ACP algorithm, the solution predicted is approximately close or similar
to the exact solution. Besides that, we compared our present work with numerical solution
obtained by Runge-Kutta fourth order (RK4) and a non-traditional method such as the ge-
netic programming (GP). Furthermore, in this work, we also showed the implementation
of the Simulink, for solving the MRDE in order to get the optimal solutions. This add-on
Simulink package in the Matlab software can be used to create a block of diagrams which
can be translated into a system of ordinary differential equations.
Illustrative examples are shown to prove the effectiveness of the proposed algorithm.
Moreover, the proposed method have been well applied to biological and engineering
problems such as linear and nonlinear singular systems, human immunodeficiency virus
(HIV) models, microbial growth model and ethanol fermentation process.
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| first_indexed | 2025-11-14T13:38:21Z |
| format | Thesis |
| id | um-6503 |
| institution | University Malaya |
| institution_category | Local University |
| last_indexed | 2025-11-14T13:38:21Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | um-65032016-09-28T02:07:31Z A study on solution of matrix riccati differential equations using ant colony programming and simulink / Mohd Zahurin Mohamed Kamali Mohamed Kamali, Mohd Zahurin QA76 Computer software T Technology (General) Swarm intelligence is a modern artificial intelligence discipline that is concerned with the design and optimization of multiagent systems with applications in robotics. This non-traditional approach is fundamentally different from the traditional approaches. In- stead of a sophisticated controller that governs the global behavior of the system, the swarm intelligence principle is based on many unsophisticated entities (for example such as ants, termites, bees etc.) that cooperate and interact in order to exhibit a desired behav- ior. In this thesis, we implement the modified ant colony programming (ACP) algorithm for solving the matrix Riccati differential equation (MRDE). Solving MRDE, especially nonlinear MRDE is the central issue in optimal control theory. It has been found that by implementing the ACP algorithm, the solution predicted is approximately close or similar to the exact solution. Besides that, we compared our present work with numerical solution obtained by Runge-Kutta fourth order (RK4) and a non-traditional method such as the ge- netic programming (GP). Furthermore, in this work, we also showed the implementation of the Simulink, for solving the MRDE in order to get the optimal solutions. This add-on Simulink package in the Matlab software can be used to create a block of diagrams which can be translated into a system of ordinary differential equations. Illustrative examples are shown to prove the effectiveness of the proposed algorithm. Moreover, the proposed method have been well applied to biological and engineering problems such as linear and nonlinear singular systems, human immunodeficiency virus (HIV) models, microbial growth model and ethanol fermentation process. iii 2015 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/6503/1/MZMKPhD30Aug_Thesis.pdf Mohamed Kamali, Mohd Zahurin (2015) A study on solution of matrix riccati differential equations using ant colony programming and simulink / Mohd Zahurin Mohamed Kamali. PhD thesis, University of Malaya. http://studentsrepo.um.edu.my/6503/ |
| spellingShingle | QA76 Computer software T Technology (General) Mohamed Kamali, Mohd Zahurin A study on solution of matrix riccati differential equations using ant colony programming and simulink / Mohd Zahurin Mohamed Kamali |
| title | A study on solution of matrix riccati differential equations using ant colony programming and simulink
/ Mohd Zahurin Mohamed Kamali
|
| title_full | A study on solution of matrix riccati differential equations using ant colony programming and simulink
/ Mohd Zahurin Mohamed Kamali
|
| title_fullStr | A study on solution of matrix riccati differential equations using ant colony programming and simulink
/ Mohd Zahurin Mohamed Kamali
|
| title_full_unstemmed | A study on solution of matrix riccati differential equations using ant colony programming and simulink
/ Mohd Zahurin Mohamed Kamali
|
| title_short | A study on solution of matrix riccati differential equations using ant colony programming and simulink
/ Mohd Zahurin Mohamed Kamali
|
| title_sort | study on solution of matrix riccati differential equations using ant colony programming and simulink
/ mohd zahurin mohamed kamali |
| topic | QA76 Computer software T Technology (General) |
| url | http://studentsrepo.um.edu.my/6503/ http://studentsrepo.um.edu.my/6503/1/MZMKPhD30Aug_Thesis.pdf |