## Tags - Part of: - Related: - Includes: - Additional: ## Main resources - - <iframe src="https://en.wikipedia.org/wiki/Control_theory" allow="fullscreen" allowfullscreen="" style="height:100%;width:100%; aspect-ratio: 16 / 5; "></iframe> ## Written by AI (may include factually incorrect information) - Control theory is a branch of [[Engineering]] and [[Mathematics]] that deals with the behavior of [[dynamical systems]] with inputs, and how their behavior is modified by feedback. Here's a comprehensive list of various branches and sub-disciplines within control theory: ### 1. Classical Control Theory - PID Control (Proportional, Integral, Derivative) - Root Locus Methods - Frequency Response Methods - Bode Plots - Nyquist Criteria - State-Space Analysis - Stability Analysis (Routh-Hurwitz, etc.) ### 2. Modern Control Theory - State Space Representations - State Feedback Control - Observer Design - Optimal Control - LQR (Linear Quadratic Regulator) - Kalman Filters - Robust Control - Model Predictive Control (MPC) - H-infinity Control ### 3. Nonlinear Control - Lyapunov Stability Theory - Feedback Linearization - Sliding Mode Control - Backstepping - Bifurcation Theory - Chaos Control ### 4. Adaptive Control - Model Reference Adaptive Control (MRAC) - Self-Tuning Regulators - Gain Scheduling - Robust Adaptive Control ### 5. Stochastic Control - Stochastic Processes - Stochastic Estimation - Stochastic Optimal Control - Markov Decision Processes ### 6. Distributed Control Systems - Multi-Agent Systems - Decentralized Control - Networked Control Systems - Cooperative Control ### 7. Discrete-Time Control Systems - Digital Control - Sampled-Data Control Systems - Z-Transform Methods - Discrete-Time State Space Methods ### 8. Optimal Control - Dynamic Programming - Pontryagin's Maximum Principle - Variational Methods - Linear Quadratic Gaussian Control (LQG) ### 9. Predictive Control - Model Predictive Control (MPC) - Receding Horizon Control - Explicit Model Predictive Control ### 10. Robust Control - Uncertainty Modeling - H-infinity Methods - μ-Synthesis - Robust Adaptive Control ### 11. Intelligent Control - Fuzzy Logic Control - Neural Network Control - Expert Systems - Genetic Algorithms in Control ### 12. Feedback Control - Feedback Loop Design - Sensitivity and Stability Margins - Closed-Loop Control Systems ### 13. Process Control - Industrial Process Control - PID Tuning - Process Identification - Batch Process Control ### 14. Aerospace Control - Flight Control Systems - Spacecraft Attitude Control - Missile Guidance Systems - UAV (Unmanned Aerial Vehicle) Control ### 15. Automotive Control Systems - Engine Control - Vehicle Dynamics Control - Autonomous Vehicle Control ### 16. Biomedical Control Systems - Drug Delivery Systems - Biological Systems Control - Prosthetics and Orthotics Control ### 17. Energy Systems Control - Smart Grid Control - Renewable Energy Systems - Battery Management Systems ### 18. Quantum Control - Quantum Feedback Control - Quantum Error Correction - Control of Quantum Systems Control theory is a vital area of engineering and mathematics, with applications ranging from everyday appliances like air conditioners to advanced systems like autonomous vehicles and spacecraft. The field is continuously evolving, incorporating new technologies and methodologies to address increasingly complex control challenges.