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Everything about Nonlinear control
Control theory for nonlinear or time-variant systems
Nonlinear control theory is an area of control theory which deals with systems that are nonlinear, time-variant, or both. Control theory is an interdisciplinary branch of engineering and mathematics that is concerned with the behavior of dynamical systems with inputs, and how to modify the output by changes in the input using feedback, feedforward, or signal filtering. The system to be controlled is called the "plant". One way to make the output of a system follow a desired reference signal is to compare the output of the plant to the desired output, and provide feedback to the plant to modify the output to bring it closer to the desired output. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Nonlinear controlA 5-minute orientation
- Skim a recent paper: Observer-Based Neuro-Adaptive Optimized Control of Strict-Feedback Nonlinear Systems With State ConstraintsInfluential work since 2022
- Pick up a classic book: Nonlinear control systemsThe most-reprinted book on the subject
- Read the landmark paper: Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control SystemsCited 5,276 times
- Go sideways: Kalman's conjectureA closely related topic
- Go sideways: Aizerman's conjectureA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
NONLINEAR MODEL PREDICTIVE CONTROL
Nonlinear repetitive control
Tracking Control for Nonlinear Networked Control Systems
Vibration control combining nonlinear isolation and nonlinear absorption
Robust nonlinear integral control
Nonlinear inferential control
Nonlinear pH control
🆕 Influential since 2022
Observer-Based Neuro-Adaptive Optimized Control of Strict-Feedback Nonlinear Systems With State Constraints
Command Filter-Based Adaptive Fuzzy Finite-Time Output Feedback Control of Nonlinear Electrohydraulic Servo System
Security-Based Fuzzy Control for Nonlinear Networked Control Systems With DoS Attacks via a Resilient Event-Triggered Scheme
Event-Based Finite-Time Control for Nonlinear Multiagent Systems With Asymptotic Tracking
Nonlinear control of transcription through enhancer–promoter interactions
📚 Books worth reading
Nonlinear control systemsZoran Vukic · 2003
Stable adaptive control and estimation for nonlinear systemsJeffrey T. Spooner, Manfredi Maggiore · 2001- 📕Adaptive and Fault-Tolerant Control of Underactuated Nonlinear SystemsJiangshuai Huang, Yongduan Song · 2017
Autonomous underwater vehiclesSabiha Wadoo · 2010- 📕Adaptive Backstepping Control of Uncertain Systems with Actuator Failures, Subsystem Interactions, and Nonsmooth NonlinearitiesWang, Wei, Changyun Wen · 2017
Operator-Based Nonlinear Control SystemsMingcong Deng · 2014- 📕Taming Heterogeneity and Complexity of Embedded ControlFrançoise Lamnabhi-Lagarrigu, Antonio Loria · 2007
- 📕Nonlinear Stochastic Control and Filtering with Engineering-Oriented ComplexitiesGuoliang Wei, Zidong Wang · 2016
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Kalman's conjecture Kalman's conjecture or Kalman problem is a disproved conjecture on absolute stability of nonlinear control system with one scalar nonlinearity, which belongs…
- Aizerman's conjecture In nonlinear control, Aizerman's conjecture or Aizerman problem states that a linear system in feedback with a sector nonlinearity would be stable if the…
- Hidden attractor In the bifurcation theory, a bounded oscillation that is born without loss of stability of stationary set is called a hidden oscillation. In nonlinear…
- Describing function In control systems theory, the describing function (DF) method, developed by Nikolay Mitrofanovich Krylov and Nikolay Bogoliubov in the 1930s, and extended…
- Popov criterion In nonlinear control and stability theory, the Popov criterion is a stability criterion discovered by Vasile M. Popov for the absolute stability of a class…
- Nikolay V. Kuznetsov Nikolay Vladimirovich Kuznetsov (Russian: Николай Владимирович Кузнецов; born 13 May 1979 in Leningrad, USSR) is a specialist in nonlinear dynamics and…
- Lyapunov stability Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most…
- Control theory Control theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems. The aim is to develop a model…