Advanced Control Algorithm - Adaptive Dynamic Programming with Iterative Design Approach

In this documentation, we provide comprehensive details on advanced control algorithms—specifically Adaptive Dynamic Programming (ADP), covering its core concepts, fundamental principles, and practical applications. ADP represents a model-based optimization methodology that employs iterative algorithms to continuously enhance controller design, achieving precise system control through successive approximation cycles. The implementation typically involves key functions such as value iteration or policy iteration algorithms, where value function approximation and policy improvement steps alternate until convergence criteria are met. Furthermore, this document explores ADP applications across industrial control systems, robotic control architectures, and other dynamic domains, along with future development trends and research directions. Through detailed algorithm explanations and implementation strategies presented herein, readers will gain deeper insights into adaptive dynamic programming, enabling more effective real-world applications with optimized performance outcomes.