Control theory has established itself as a fundamental discipline for the analysis and design of dynamical systems. From its classical foundations, including proportional–integral–derivative (PID) control, state–space representations, and stability analysis, it has progressively expanded toward advanced, robust, and predictive control frameworks. The increasing complexity of modern systems, characterized by large-scale integration, data-driven operations, and stringent safety requirements, is reshaping their methodological foundations. However, despite extensive progress, the field of control remains fragmented, and an integrative viewpoint connecting the different topics is still lacking. This survey provides a unified cross-domain perspective that consolidates established principles and emerging intelligent paradigms. Specifically, it addresses this research gap by synthesizing classical control theory with contemporary artificial intelligence (AI)-driven and cyber–physical systems (CPS) methodologies within a mathematically consistent framework. To the best of our knowledge, no prior survey has provided a unified analytical framework that jointly treats all the aforementioned topics. A distinctive contribution is the mathematically rigorous treatment of nonlinear observer design through Laguerre polynomial approximations, positioned in direct comparison with extended Kalman filters (EKF), high-gain observers (HGO), and hybrid estimation methods. Beyond the classical scope, this survey addresses the convergence of control with AI, machine learning (ML), deep learning (DL), Internet of Things (IoT) infrastructures, digital twins, and quantum-edge computing, emphasizing their implications for scalability, adaptability, and resilience. The novelty of this review lies in articulating an integrative framework that bridges robust analytical tools with intelligent, data-driven architectures, highlighting both methodological coherence and cross-domain applicability. Key challenges include managing nonlinear complexity, ensuring robustness under uncertainty, embedding ethical and governance-aware mechanisms, and bridging the gap between theoretical innovation and practical deployment. Future trends indicate a shift towards reinforcement learning (RL)-augmented control, hybrid physics–AI architectures, distributed CPS architectures, and sustainability-driven designs. By combining historical depth with forward-looking integration, this survey serves as both a consolidated reference and a roadmap for the next generation of intelligent and resilient control systems.
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