Control Theory

From Ioannis Kourouklides
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This page contains resources about Control Theory, Automatic Control, Control Engineering, Control Systems, Dynamical Systems Theory and Dynamical Systems in general.

More specific information is included in each subfield.

Subfields and Concepts[edit]

See Category:Control Theory for some of its subfields.

  • Controllers
    • Proportional–Integral–Derivative (PID) controller (a lag-lead controller)
    • PI controller (a phase-lag controller)
    • PD controller (a phase-lead controller)
  • Open-loop system Vs Closed-loop system
  • Linear Dynamical Systems / Linear Systems Theory / Linear Control (i.e. systems that are governed by Linear Differential Equations)
    • Time Series Model
    • Linear Time-Invariant (LTI) system
  • Nonlinear Dynamical Systems / Nonlinear Systems Theory / Nonlinear Control (i.e. systems that are governed by Nonlinear Differential Equations)
    • Volterra Series Model
    • Nonlinear Autoregressive Moving Average (NARMA) Model
    • Recurrent Neural Network (RNN)
  • Random Dynamical Systems
  • Stochastic Dynamical Systems
  • Graph Dynamical Systems
    • Sequential Dynamical Systems (e.g. Boolean Network)
    • Stabilizer / Isotropy Group
    • Generalized Cellular Automata
  • Complex Networks and Graph Theory
    • Boolean Network
    • Small-World Network
    • Watts–Strogatz Model
    • Erdos–Renyi Model
    • Barabasi–Albert Model
  • Small World Index (SWI)
  • Rewiring Probability
  • Hamiltonian Dynamics
  • Lagrangian Dynamics
  • Langevin Dynamics
  • Brownian Dynamics
  • Relativistic Dynamics
  • Nonholonomic Dynamics/ Nonholonomic Dynamical System
  • Topological Dynamics
  • Optimal Control
  • Robust Control
  • Model Predictive Control
  • Complex Systems / Complexity Science
    • Complex Adaptive Systems
  • Cellular Automata
  • Chaos Theory / Chaotic Maps
    • Coupled Map Lattice
  • Ergodic Theory
  • Estimation Theory / System Identification / Adaptive Filter Theory / Adaptive Control
  • Filter Theory / Filter Design
  • Probability Theory
  • Measure Theory
  • Decision Theory
  • Stability Theory
    • Routh–Hurwitz stability criterion (for LTI systems)
    • Nyquist stability criterion (for LTI systems)
    • Nyquist diagram/plot
    • Bode diagram/plot
    • Lyapunov stability
    • Circle criterion (for Nonlinear Time-Varying systems)
  • Realization Theory
  • Variational Analysis‎
    • Calculus of variations
    • Lagrange multipliers
  • Controllability and Reachability
  • Observability / Constructibility

Online Courses[edit]

Video Lectures[edit]

Lecture Notes[edit]


See Further Reading for more books.

  • Dorf, R. C., & Bishop, R. H. (2016). Modern control systems. 13th Ed. Pearson.
  • Sayama, H. (2015). Introduction to the Modeling and Analysis of Complex Systems. Open SUNY Textbooks.
  • Franklin, G. F., Powell, J. D., & Emami-Naeini, A. (2014). Feedback control of dynamic systems. 7th Ed. Pearson.
  • Estrada, E. (2011). The Structure of Complex Networks: Theory and Applications. Oxford University Press.
  • Gros, C. (2010).Complex and Adaptive Dynamical Systems: A Primer. 4th Ed. Springer.
  • Boccara, N. (2010). Modeling Complex Systems. 2nd Ed. Springer.
  • Lewis, T. G. (2009). Network Science: Theory and Applications. John Wiley & Sons.
  • Doyle, J. C., Francis, B. A., & Tannenbaum, A. R. (2009). Feedback control theory. Dover.
  • Astrom, K. J., & Wittenmark, B. (2008). Adaptive control. Dover.
  • Mortveit, H., & Reidys, C. (2007). An introduction to sequential dynamical systems. Springer Science & Business Media.
  • Allouche, J. P., Courbage, M., & Skordev, G. (2000). Notes on cellular automata. (link)
  • Sastry, S. S. (1999). Nonlinear systems: analysis, stability, and control. Springer Science & Business Media.
  • Phillips, C. L., & Harbor, R. D. (1999). Feedback control systems. 4th Ed. Prentice Hall.
  • Shinners, S. M. (1998). Modern control system theory and design. 2nd Ed. John Wiley & Sons.
  • Henson, M. A., & Seborg, D. E. (1997). Nonlinear process control. Prentice Hall PTR.
  • Vaccaro, R. J. (1995). Digital control: a state-space approach. McGraw-Hill.
  • Isidori, A. (1995). Nonlinear control systems. Springer Science & Business Media.
  • Stengel, Robert F. (1994). Optimal control and estimation. Dover.
  • Stengel Robert, F. (1986). Stochastic optimal control: theory and application. Wiley-Interscience.
  • Luenberger, D. G. (1979). Introduction to dynamic systems. John Wiley & Sons.
  • Kirk, D. E. (1970). Optimal control theory: an introduction. Dover.


See also[edit]

Other Resources[edit]