Results 221 to 230 of about 1,281,214 (279)
The Boundary of an Integral Funnel of a Differential Inclusion
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
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Proportional-Integral Funnel Control of Unknown Lower-Triangular Nonlinear Systems
IEEE Transactions on Automatic ControlThis 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
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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
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Proportional-Integral-Observer With Adaptive High-Gain Design Using Funnel Adjustment Concept
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
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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
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
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
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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
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Relationship of the Boundary of an Integral Funnel with the Hamilton-Jacobi Equation
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
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On Integral Funnel of Control Systems, Changed at Several Small Time Interval
Прикладная математика и механика, 2023A 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
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Approximation of the integral funnel of a nonlinear control system with limited control resources
Eskisehir Technical University Research Foundation [19ADP156]
Huseyin, Anar +2 more
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Equations of attainable set dynamics, part 1: Integral funnel equations
Journal of Optimization Theory and Applications, 1990In 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
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