NDLI: Stepwise synthesis of constrained controls for single input nonlinear systems of special form

Please wait, while we are loading the content...

Nonlinear Differential Equations and Applications NoDEA : Volume 23

Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 5, October 2016

Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 4, August 2016

Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 3, June 2016

Center cyclicity of a family of quartic polynomial differential system

The one dimensional parabolic p(x)-Laplace equation

Large time behavior and Lyapunov functionals for a nonlocal differential equation

Infinitely many solutions for the spinorial Yamabe problem on the round sphere

Stability of ground-states for a system of M coupled semilinear Schrödinger equations

Symmetry for a general class of overdetermined elliptic problems

A note on the derivation of rigid-plastic models

Random extremal solutions of differential inclusions

Approximation of an optimal control problem in coefficient for variational inequality with anisotropic p-Laplacian

Vanishing dielectric constant regime for the Navier Stokes Maxwell equations

Symmetry of solutions to nonlocal nonlinear boundary value problems in radial sets

A class of history-dependent variational-hemivariational inequalities

Layered solutions for a fractional inhomogeneous Allen–Cahn equation

Stepwise synthesis of constrained controls for single input nonlinear systems of special form

Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems

Quasilinear parabolic problem with p(x)-laplacian: existence, uniqueness of weak solutions and stabilization

Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 2, April 2016

Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 1, February 2016

Nonlinear Differential Equations and Applications NoDEA : Volume 22

Nonlinear Differential Equations and Applications NoDEA : Volume 21

Nonlinear Differential Equations and Applications NoDEA : Volume 20

Nonlinear Differential Equations and Applications NoDEA : Volume 19

Nonlinear Differential Equations and Applications NoDEA : Volume 18

Nonlinear Differential Equations and Applications NoDEA : Volume 17

Nonlinear Differential Equations and Applications NoDEA : Volume 16

Nonlinear Differential Equations and Applications NoDEA : Volume 15

Nonlinear Differential Equations and Applications NoDEA : Volume 14

Nonlinear Differential Equations and Applications NoDEA : Volume 13

Nonlinear Differential Equations and Applications NoDEA : Volume 12

Nonlinear Differential Equations and Applications NoDEA : Volume 11

Nonlinear Differential Equations and Applications NoDEA : Volume 10

Nonlinear Differential Equations and Applications NoDEA : Volume 9

Nonlinear Differential Equations and Applications NoDEA : Volume 8

Nonlinear Differential Equations and Applications NoDEA : Volume 7

Nonlinear Differential Equations and Applications NoDEA : Volume 6

Nonlinear Differential Equations and Applications NoDEA : Volume 5

Nonlinear Differential Equations and Applications NoDEA : Volume 4

Stepwise synthesis of constrained controls for single input nonlinear systems of special form

Content Provider	Springer Nature Link
Author	Korobov, V. I. Skoryk, V. O. Sklyar, K. V.
Copyright Year	2016
Abstract	For control systems of the form $${dx/dt = a(x) + B(x)\beta(x, u)}$$ with one-dimensional control, where a(x) is an n-dimensional vector function, B(x) is an $${(n \times m)}$$ -matrix, and $${\beta(x, u)}$$ is an m-dimensional vector function, the method of constructing of stepwise synthesis control is proposed. At first, under certain conditions we reduce such system to a system consisting of m subsystems; in each subsystem all equations are linear except of the last one. Further we propose the method for construction of controls which transfer an arbitrary initial point to the equilibrium point in a certain finite time. Each such control is constructed as a concatenation of a finite number of positional controls (we call it a stepwise synthesis control). On each step of our method we choose a new synthesis control. In this connection, nonlinearity of a system with respect to a control is essentially used. The obtained results are illustrated by examples. In particular, the problem of the complete stoppage of a two-link pendulum with the help of non-linear forces is solved. Finally, we introduce the class of nonlinear systems which is called the class of staircase systems that provides the applicability of our method.
Ending Page	26
Page Count	26
Starting Page	1
File Format	PDF
ISSN	10219722
e-ISSN	14209004
Journal	Nonlinear Differential Equations and Applications NoDEA
Issue Number	3
Volume Number	23
Language	English
Publisher	Springer International Publishing
Publisher Date	2016-05-02
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Staircase systems Mappability Stepwise synthesis Analysis Nonlinear control system Feedback control Synthesis problems Nonlinear systems System structure simplification
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Stepwise synthesis of constrained controls for single input nonlinear systems of special form

STEPWISE SYNTHESIS OF CONSTRAINED CONTROLS FOR SINGLE INPUT NONLINEAR SYSTEMS OF SPECIAL FORM ∗

Stepwise synthesis of constrained controls for single input nonlinear systems of special form

Feedback Classification of Multi-Input Nonlinear Control Systems

Examples of nonclassical feedback control problems

Optimal saturated feedback laws for LQR problems with bounded controls

Feedback Classification of Nonlinear Single-Input Control Systems with Controllable Linearization: Normal Forms, Canonical Forms, and Invariants

Optimal-proximity controls

Almost disturbance decoupling for single-input single-output nonlinear systems

Stepwise synthesis of constrained controls for single input nonlinear systems of special form

Similar Documents

Stepwise synthesis of constrained controls for single input nonlinear systems of special form

STEPWISE SYNTHESIS OF CONSTRAINED CONTROLS FOR SINGLE INPUT NONLINEAR SYSTEMS OF SPECIAL FORM ∗

Stepwise synthesis of constrained controls for single input nonlinear systems of special form

Feedback Classification of Multi-Input Nonlinear Control Systems

Examples of nonclassical feedback control problems

Optimal saturated feedback laws for LQR problems with bounded controls

Feedback Classification of Nonlinear Single-Input Control Systems with Controllable Linearization: Normal Forms, Canonical Forms, and Invariants

Optimal-proximity controls

Almost disturbance decoupling for single-input single-output nonlinear systems

Stepwise synthesis of constrained controls for single input nonlinear systems of special form