15,420 research outputs found
Optimal Control of Delay Systems with Differential and Algebraic Dynamic Constraints
This paper concerns constrained dynamic optimization problems governed by delay control systems whose dynamic constraints are described by both delay-differential inclusions and linear algebraic equations. This is a new class of optimal control systems that, on one hand, may be treated as a specific type of variational problems for neutral functional-differential inclusions while, on the other hand, is related to a special class of differential-algebraic systems with a general delay-differential inclusion and a linear constraint link between slow and fast variables. We pursue a two-hold goal: to study variational stability for this class of control systems with respect to discrete approximations and to derive necessary optimality conditions for both delayed differential-algebraic systems under consideration and their finite-difference counterparts using modern tools of variational analysis and generalized differentiation. The authors are not familiar with any results in these directions for such systems even in the delay-free case. In the first part of the paper we establish the value convergence of discrete approximations as well as the strong convergence of optimal arcs in the classical Sobolev space W^1,2 Then using discrete approximations as a vehicle, we derive necessary optimality conditions for the initial continuous-time systems in both Euler-Lagrange and Hamiltonian forms via basic generalized differential constructions of variational analysis
Finite-time extended state observer and fractional-order sliding mode controller for impulsive hybrid port-Hamiltonian systems with input delay and actuators saturation: Application to ball-juggler robots
This paper addresses the robust control problem of mechanical systems with hybrid dynamics in port-Hamiltonian form. It is assumed that only the position states are measurable, and time-delay and saturation constraint affect the control signal. An extended state observer is designed after a coordinate transformation. The effect of the time delay in the control signal is neutralized by applying Pade ́ approximant and augmenting the system states. An assistant system with faster convergence is developed to handle actuators saturation. Fractional-order sliding mode controller acts as a centralized controller and compensates for the undesired effects of unknown external disturbance and parameter uncertainties using the observer estimation results. Stability analysis shows that the closed-loop system states, such as the observer tracking error, and the position/velocity tracking errors, are finite-time stable. Simulation studies on a two ball-playing juggler robot with three degrees of freedom validate the theoretical results’ effectiveness
Transparency in Port-Hamiltonian-Based Telemanipulation
After stability, transparency is the major issue in the design of a telemanipulation system. In this paper, we exploit the behavioral approach in order to provide an index for the evaluation of transparency in port-Hamiltonian-based teleoperators. Furthermore, we provide a transparency analysis of packet switching scattering-based communication channels
Delay-dependent exponential stability of neutral stochastic delay systems (vol 54, pg 147, 2009)
In the above titled paper originally published in vol. 54, no. 1, pp. 147-152) of IEEE Transactions on Automatic Control, there were some typographical errors in inequalities. Corrections are presented here
Exponential stability of a class of boundary control systems
We study a class of partial differential equations (with variable coefficients) on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we provide simple tools to check exponential stability. This class is general enough to include models of flexible structures, traveling waves, heat exchangers, and bioreactors among others. The result is based on the use of a generating function (the energy for physical systems) and an inequality condition at the boundary. Furthermore, based on the port Hamiltonian approach, we give a constructive method to reduce this inequality to a simple matrix inequality
Rapid Steady State Convergence for Quantum Systems Using Time-Delayed Feedback Control
We propose a time-delayed feedback control scheme for open quantum systems
that can dramatically reduce the time to reach steady state. No measurement is
performed in the feedback loop, and we suggest a simple all-optical
implementation for a cavity QED system. We demonstrate the potential of the
scheme by applying it to a driven and dissipative Dicke model, as recently
realized in a quantum gas experiment. The time to reach steady state can then
reduced by two orders of magnitude for parameters taken from experiment, making
previously inaccessible long time attractors reachable within typical
experimental run times. The scheme also offers the possibility of slowing down
the dynamics, as well as qualitatively changing the phase diagram of the
corresponding physical system.Comment: 25 pages, 9 figures. Invited paper in "Focus on Coherent Control of
Complex Quantum Systems", Eds. B. Whaley and G. Milburn. PS: Preview on OSX
struggles with opening some of the figures with a lot of data in the
Wannier-Stark resonances in optical and semiconductor superlattices
In this work, we discuss the resonance states of a quantum particle in a
periodic potential plus a static force. Originally this problem was formulated
for a crystal electron subject to a static electric field and it is nowadays
known as the Wannier-Stark problem. We describe a novel approach to the
Wannier-Stark problem developed in recent years. This approach allows to
compute the complex energy spectrum of a Wannier-Stark system as the poles of a
rigorously constructed scattering matrix and solves the Wannier-Stark problem
without any approximation. The suggested method is very efficient from the
numerical point of view and has proven to be a powerful analytic tool for
Wannier-Stark resonances appearing in different physical systems such as
optical lattices or semiconductor superlattices.Comment: 94 pages, 41 figures, typos corrected, references adde
Effects of time delay in feedback control of linear quantum systems
We investigate feedback control of linear quantum systems subject to
feedback-loop time delays. In particular, we examine the relation between the
potentially achievable control performance and the time delays, and provide
theoretical guidelines for the future experimental setup in two physical
systems, which are typical in this research field. The evaluation criterion for
the analysis is given by the optimal control performance formula, the
derivation of which is from the classical control theoretic results about the
input-output delay systems.Comment: 6 pages, 4 figure
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