Modeling, Identification, Control (A. Sala)

Educational videos plus PDF/source code for Engineering and Computer Science students in Modeling, identification, and Control topics from Antonio Sala, professor at Universitat Politecnica de Valencia (UPV), Spain.

This channel will collect my videos in English language on the above topics.
Emphasis is on basic concepts, intuition and application ideas, and Matlab code. The videos contain simplifications and omissions, so they may not be optimal for a specialized Mathematics audience or senior researchers, who will demand a more formal treatment.

I have a twin channel https://www.youtube.com/@asalacontrol , where videos in Spanish are uploaded.
There are a few videos in English there, but I will eventually migrate all non-Spanish materials to this channel.
Please subscribe to both !-) channels if you understand Spanish, of course!.

At http://personales.upv.es/asala/YT/indexEN.html you have all published videos in English, sorted by topic.

Теорема выборки Шеннона: формулы гауссовского процесса [2/2], теория, примеры [Обработка сигналов]

Теорема выборки Шеннона: формулы гауссовского процесса [1/2], предварительные сведения [Обработка...

Control with excess actuators (2): cascade extra actuator, gradual, double cascade (process control)

Control with excess actuators (1): load balancing, split range, override (practical process control)

SVD decoupling case study (6): manual subsets/fusion of controlled/manipulated variables

SVD decoupling case study (5): three controlled variable, four manipulated variables

Inrush current when energising an inductor, linear ODE case study

SVD decoupling case study (4): feasible/realizable reference instead of user-provided setpoint

Unstable inverted pendulum: modelling, linearization, free response (Laplace)

SVD decoupling case study (3): three controlled variable, one manipulated variable

$Matérn kernel regression (2): 2nd, 3rd, and fractional order; splines; Gaussian filter examples$

Matérn kernel regression (2): 2nd, 3rd, and fractional order; splines; Gaussian filter examples

SVD decoupling case study (2): one controlled variable, two manipulated variables [process control]

Matérn kernel regression (1): basic setup, 1st-order filter example, linear interpolation

SVD decoupling and principal maneuvers in multivariable process control: theory outline [1/7]

Matérn and squared-exponential kernels: intuition as filter with repeated real poles

LMI/SDP: largest ellipse inside other poliedra/ellipses (2), largest area (geomean YALMIP)

LMI/SDP: largest ellipse inside other poliedra/ellipses (1), semidefinite programming examples

N-body simulation of gravity interaction examples: ellipses, chaos, escape velocity

N-body simulation of gravity interaction: Matlab code/animation ode113, Newton's laws 2D

Linearization, function of 2 variables, Matlab: linearization error analysis, Hessian eigenvalues

Linearization, function of 2 variables: Matlab example (symbolic toolbox), Taylor series revision

Ellipsoid containing ellipsoids and polyhedra, Yalmip/Sedumi/Matlab (2): minimum volume (SDP/LMI)

2DoF dynamics, carousel: simulation and animation (Matlab, ode45)

LMIs: Ellipsoid containing ellipsoids/polyhedra, Yalmip/Sedumi/Matlab (1): minimum major axis

Euler-Lagrange equations dynamics of carousel (2): lateral motion, spherical pendulum, partic. cases

(5/5) Multi-output Gaussian Processes: latent factor estimation, hidden components

[7/7] Duality force/manipulability ellipsoids, robot arm (inverse matrices, dual ellipsoids)

carousel (rotational pendulum): Euler-Lagrange equations of motion, 2 DoF dynamics

(4/5) Multi-output Gaussian Processes: joint prediction

[6/7] Force ellipsoid, robot arm (2): principal maneuvers, Jacobian singular value decomposition