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Adaptive sampled-data integral control of stable infinite-dimensional linear systems
In this paper, adaptive discrete-time low-gain integral control strategies are presented for tracking constant reference signals for infinite-dimensional discrete-time power-stable linear systems. The discrete-time results are...
Adaptive sampled-data integral control of stable infinite-dimensional linear systems
In this paper, adaptive discrete-time low-gain integral control strategies are presented for tracking constant reference signals for infinite-dimensional discrete-time power-stable linear systems. The discrete-time results are...
Stabilization of well-posed infinite-dimensional systems by dynamic sampled-data feedback
Hartmut Logemann
Jan 01, 0001
It is shown that a set of six natural conditions is necessary and sufficient for the existence
of a finite-dimensional stabilizing sampled-data controller for a well-posed infinite-dimensional
system. The underlying...
of a finite-dimensional stabilizing sampled-data controller for a well-posed infinite-dimensional
system. The underlying...
A circle criterion for strong integral input-to-state stability
We present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of the zero equilibrium pair of continuous-time forced Lur'e systems, where by strong iISS we mean the conjunction of iISS and...
Absolute stability and integral control for infinite-dimensional discrete-time systems
We derive absolute stability results of Popov and circle-criterion types for infinite-dimensional discrete-time systems in an input-output setting. Our results apply to feedback systems in which the linear part is the series...
Approximate tracking and disturbance rejection for stable infinite-dimensional systems using sampled-data low-gain control
In this paper we solve tracking and disturbance rejection problems for stable infinite-dimensional systems using a simple low-gain controller suggested by the internal model principle. For stable discrete-time systems, it is...
Infinite-dimensional Lur'e systems
We consider forced Lur'e systems in which the linear dynamic component is an infinite-dimensional well-posed system. Numerous physically motivated delay- and partial differential equations are known to belong to this class of...
Approximate tracking and disturbance rejection for stable infinite-dimensional systems using sampled-data low-gain control
In this paper we solve tracking and disturbance rejection problems for stable infinite-dimensional systems using a simple low-gain controller suggested by the internal model principle. For stable discrete-time systems, it is...
The Circle Criterion and Input-to-State Stability
This article provides an overview of the circle criterion and its connection with ISS. Classical absolute stability theory and the circle criterion in particular, is concerned with the analysis of a feedback interconnection of...
Input-to-state stability of discrete-time Lur'e systems
An input-to-state stability theory, which subsumes results of circle criterion type, is
developed in the context of discrete-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.
developed in the context of discrete-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.
Input-to-state stability of discrete-time Lur'e systems
An input-to-state stability theory, which subsumes results of circle criterion type, is
developed in the context of discrete-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.
developed in the context of discrete-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.
A circle criterion for strong integral input-to-state stability
We present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of the zero equilibrium pair of continuous-time forced Lur'e systems, where by strong iISS we mean the conjunction of iISS and...
A sampled-data servomechanism for stable well-posed systems
In this technical note, an approximate tracking and disturbance rejection problem is solved for the class of exponentially stable well-posed infinite-dimensional systems by invoking a simple sampled-data low-gain controller...
A sampled-data servomechanism for stable well-posed systems
In this technical note, an approximate tracking and disturbance rejection problem is solved for the class of exponentially stable well-posed infinite-dimensional systems by invoking a simple sampled-data low-gain controller...
Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems
Incremental stability and convergence properties for forced, infinite-dimensional, discrete-time Lur'e systems are addressed. Lur'e systems have a linear and nonlinear component and arise as the feedback interconnection of a...
Absolute stability and integral control for infinite-dimensional discrete-time systems
We derive absolute stability results of Popov and circle-criterion types for infinite-dimensional discrete-time systems in an input-output setting. Our results apply to feedback systems in which the linear part is the series...
Stabilization of well-posed infinite-dimensional systems by dynamic sampled-data feedback
Hartmut Logemann
Jan 01, 0001
It is shown that a set of six natural conditions is necessary and sufficient for the existence
of a finite-dimensional stabilizing sampled-data controller for a well-posed infinite-dimensional
system. The underlying...
of a finite-dimensional stabilizing sampled-data controller for a well-posed infinite-dimensional
system. The underlying...
Tracking with prescribed transient performance for hysteretic systems
Tracking of reference signals (assumed bounded with essentially bounded derivative) is considered for a class of single-input, single-output, nonlinear systems, described by a functional differential equation with a hysteresis...
Low-gain Integral Control for Multi-Input, Multi-Output Linear Systems with Input Nonlinearities
We consider the inclusion of a static anti-windup component in a continuous-time low-gain integral controller in feedback with a multi-input multi-output stable linear system subject to an input nonlinearity (from a class of...
The Circle Criterion and Input-to-State Stability
This article provides an overview of the circle criterion and its connection with ISS. Classical absolute stability theory and the circle criterion in particular, is concerned with the analysis of a feedback interconnection of...
Semi-global incremental input-to-state stability of discrete-time Lur’e systems
We present sufficient conditions for semi-global incremental input-to-state stability of a class of forced discrete-time Lur'e systems. The results derived are reminiscent of well-known absolute stability criteria such as the...
Indirect sampled-data control with sampling period adaptation
It is known that if a continuous-time feedback system is exponentially stable, then the corresponding sampled-data system obtained by sample-hold discretisation with constant sampling period is also exponentially stable...
Semi-global incremental input-to-state stability of discrete-time Lur’e systems
We present sufficient conditions for semi-global incremental input-to-state stability of a class of forced discrete-time Lur'e systems. The results derived are reminiscent of well-known absolute stability criteria such as the...
Semi-Global Persistence and Stability for a Class of Forced Discrete-Time Population Models
We consider persistence and stability properties for a class of forced discrete-time difference equations with three defining properties: the solution is constrained to evolve in the non-negative orthant, the forcing acts...
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