The primary aim of this paper is to devise an optimal regulator for stabilizing a distinct class of chaotic systems through a systematic two-step approach. Initially, the chaotic system undergoes transformation into state-dependent equations. Subsequently, the State Dependent Riccati Equation (SDRE) is tackled via the power series method, facilitating the determination of the optimal control law. Ensuring a suitable regulatory response involves the utilization of an intuitive optimization algorithm of a naturalistic nature, with a focus on optimizing the weight matrices within the SDRE equation. Employing the Artificial Bee Colony (ABC) algorithm, we derive the weighted matrices, leveraging the honey bee algorithm to fine-tune the gain coefficients by minimizing the chosen fitness function. The fitness function, represented as the sum of squares of system state errors, proves instrumental in achieving effective stabilization of the chaotic system, minimizing error, enhancing response speed, and reducing control costs. Through simulation, we scrutinize the effectiveness of regulators designed to stabilize and control chaotic systems, particularly comparing the regulatory performance of this algorithm against the SDRE method.
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Khoshhal Rudposhti, M. (2023). Design Of a New Optimal Controller for a Particular Class of Chaotic Systems Using the Artificial Bee Colony Algorithm (ABC). Transactions on Machine Intelligence, 6(4), 221-235. doi: 10.47176/TMI.2023.221
MLA
M. Khoshhal Rudposhti. "Design Of a New Optimal Controller for a Particular Class of Chaotic Systems Using the Artificial Bee Colony Algorithm (ABC)". Transactions on Machine Intelligence, 6, 4, 2023, 221-235. doi: 10.47176/TMI.2023.221
HARVARD
Khoshhal Rudposhti, M. (2023). 'Design Of a New Optimal Controller for a Particular Class of Chaotic Systems Using the Artificial Bee Colony Algorithm (ABC)', Transactions on Machine Intelligence, 6(4), pp. 221-235. doi: 10.47176/TMI.2023.221
VANCOUVER
Khoshhal Rudposhti, M. Design Of a New Optimal Controller for a Particular Class of Chaotic Systems Using the Artificial Bee Colony Algorithm (ABC). Transactions on Machine Intelligence, 2023; 6(4): 221-235. doi: 10.47176/TMI.2023.221
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