Results 221 to 230 of about 1,281,214 (279)

The Boundary of an Integral Funnel of a Differential Inclusion

open access: yes, 1991
In the theory of differential inclusions of the form where Φ (q, t) is, for every q and t, a given non-empty convex set in the event space { q, t), the set of points of absolutey continuous integral curves q = q (t), t ≥ t’, of (1) originating from the point {q’, t’) is known as the integral funnel with vertex {q’, t’) for the differential inclusion (1)
A. Butkovskiy
semanticscholar   +3 more sources

Proportional-Integral Funnel Control of Unknown Lower-Triangular Nonlinear Systems

IEEE Transactions on Automatic Control
This article is concerned with the high-performance control problem for the nonlinear systems in the sense of not only fast accurate reference tracking but also active damping of error oscillations caused by disturbances and unmodeled dynamics.
Jin-Xi Zhang   +2 more
exaly   +3 more sources

Approximations of the set of trajectories and integral funnel of the non-linear control systems with Lp norm constraints on the control functions

open access: yesIMA Journal of Mathematical Control and Information, 2022
In this paper, approximations of the set of trajectories and integral funnel of the control system described by non-linear ordinary differential equation with integral constraint on the control functions are considered.
Nesir Huseyin   +2 more
exaly   +3 more sources

Proportional-Integral-Observer With Adaptive High-Gain Design Using Funnel Adjustment Concept

open access: yesVolume 6: 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, 2017
This paper focuses on a novel gain design approach of Proportional-Integral-Observer (known as PI-Observer) for unknown input estimation such as disturbances. Whereas estimation of the fast dynamical behavior requires large observer gains, the effect of measurement noise is not negligible.
Bakhshande, Fateme, Söffker, Dirk
semanticscholar   +4 more sources

Approximations of the set of trajectories, attainable sets and integral funnel of the control system with mixed constraints on the control functions

European Journal of Control
In this paper, the set of trajectories, attainable sets and integral funnel of a control system described by an ordinary differential equation are studied. The system is nonlinear with respect to the phase state vector and affine with respect to the control vector. It is assumed that the admissible control functions satisfy mixed constraints, including
Nesir Huseyin   +2 more
exaly   +4 more sources

Criteria of robust stability for time-varying 2D Wang–Mitchel differential systems: integral funnel method

International Journal of Control, 2016
ABSTRACTTwo-dimensional nonlinear systems with parametrical interval uncertainty are studied. Differential geometric extremal deviations method is developed. Its basic elements are integral funnels (IFs) and their boundaries. Extreme matrix-valued functions determining the branches of the boundaries of IFs are synthesised.
Alexander Poznyak
exaly   +3 more sources

Relationship of the Boundary of an Integral Funnel with the Hamilton-Jacobi Equation

open access: yes, 1991
We condiser a nonlinear scalar partial differential equation of first order of the form where (q, t) are independent variables in the space {q, t}, and, z (q, t) is an unknown scalar function. A large number of remarkable works are devoted to this equation (see, for example, [62, 63, 101, 104]).
A. Butkovskiy
semanticscholar   +3 more sources

On Integral Funnel of Control Systems, Changed at Several Small Time Interval

Прикладная математика и механика, 2023
A nonlinear control system in a finite-dimensional Euclidean space and on a finite time interval is considered, the dynamics of which changes significantly over several small sections from a given time interval. We study the degree of change in the reachable sets and integral funnels of the system under consideration when it varies in these sections ...
V. N. Ushakov   +2 more
openaire   +2 more sources

Approximation of the integral funnel of a nonlinear control system with limited control resources

open access: yes, 2020
Eskisehir Technical University Research Foundation [19ADP156]
Huseyin, Anar   +2 more
core   +5 more sources

Equations of attainable set dynamics, part 1: Integral funnel equations

Journal of Optimization Theory and Applications, 1990
In control theory, there is growing interest in the evolution of sets, especially attainable sets at timet. This is caused due to their applications to control under uncertainty, optimal control, and differential games. Recently, a new mathematical theory for attainable set evolution was developed. It is based on the concept of approximate localization,
A. Panasyuk
openaire   +2 more sources

Home - About - Disclaimer - Privacy