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Questions related from Ali Namadchian
By dynamical systems, I mean systems that can be modeled by ODEs. For linear ODEs, we can investigate the stability by eigenvalues, and for nonlinear systems as well as linear systems we can use...
28 August 2020 4,021 29 View
I know in the field of fluid mechanics, we mostly deal with PDEs such as Navier-Stokes equation. But what I want to do is to design a controller for flow control of a system consisting of a...
18 August 2020 6,453 4 View
Since the methods used in industry are more reliable than the ones presented in academic papers, I need to know the most commonly used adaptive PID control ( sometimes it is refered to as self...
26 May 2020 3,704 1 View
We know that mathematicians study different mathematical spaces such as Hilbert space, Banach space, Sobolev space, etc... but as engineers, is it necessary for us to understand the definition of...
14 October 2019 10,043 9 View
It is known that the FPE gives the time evolution of the probability density function of the stochastic differential equation. I could not see any reference that relates the PDF obtain by the FPE...
14 October 2019 1,287 8 View
for linear control systems x_dot=Ax+Bu the reachability set can be calculated using the Image of the controllability matrix, i.e R=([B AB A^2B,....,]) and reachability set=Im(R) when rank(R)=n,...
19 January 2019 5,979 3 View
In the well-known nonlinear system reference H.Khalil, Nonlinear Systems Third Edition in chapter 13.Feedback linearization, Khalil developed a theory for feedback linearization(Theorem...
12 January 2019 3,344 5 View
In control theory, when we can control the time-derivative of some state in the system, it means that we can control the state itself. consider the system x1_dot=x2 x2_dot=f(x,u) in the above...
09 January 2019 3,295 1 View
Imagine we have an ODE system x_dot=[f1(x,u), f2(x,u), f3(x,u),....fn(x,u)] where f1,..,fn are nonlinear functions of control input u and states x, x is member of R^n and u is member of...
07 January 2019 4,369 5 View
for deterministic systems, with defining proper terminal constraint , terminal cost and local controller we can prove the recursive feasibility and stability of nonlinear system under model...
11 November 2018 8,441 2 View
it seems that with solving the stationary form of forward Fokker Planck equation we can find the equilibrium solution of stochastic differential equation. is the above statement true?is it a...
11 November 2018 8,808 4 View
In the literature, most of the time, it is assumed that the system is slow enough and the time required for calculation of optimal control in each step of MPC can be neglected. it is a correct...
24 October 2018 9,039 1 View
what is the best method for constrained optimization ( in terms of the speed of the convergence an accuracy)? I want to train the parameters of the neural network with some constraints on the...
20 June 2018 6,591 15 View
for ODEs we can use the definition of stability, for example when the ODE is linear, by calculating the Eigenvalues or poles of the system the stability characteristic of the system can be...
20 June 2018 8,177 8 View
I am trying to train a complex system by neural net with Levenberg-Marquardt algorithm, it is faster than stochastic gradient descent, bot it is not fast enough. which training algorithm is the...
07 May 2018 9,397 7 View
in the literature, for solving an optimal control problem, most of the times we consider the system (ode equation) as a constraint and solve the optimal control problem, here is the question: if I...
02 March 2018 690 9 View
In most of the literature for Generalized MPC, it is assumed that D matrix in state space model of the system is zero, I have a system with non-zero D (not a strictly proper system), what should I do?
27 December 2017 3,215 1 View
for more practical simulation of an optimal control problem, I need to consider the computation time which is needed for solving optimization in optimal control (regardless of discretization and...
31 August 2017 4,482 3 View
