In this note we investigate what is the best L p -norm in order to describe the relation between the evolution of the state of a bilinear quantum system with the L p -norm of the external field. Although L 2 has a str...
详细信息
In this note we investigate what is the best L p -norm in order to describe the relation between the evolution of the state of a bilinear quantum system with the L p -norm of the external field. Although L 2 has a structure more easy to handle, the L 1 norm is more suitable for this purpose. Indeed for every p > 1 it is possible to steer, with arbitrary precision, a generic bilinear quantum system from any eigenstate of the free Hamiltonian to any other with a control of arbitrary small L p norm. Explicit optimal costs for the L 1 norm are computed on an example.
This paper aims at providing some synthesis between two alternative representations of systems of two conservation laws and interprets different conditions on stabilizing boundary control laws. The first is the repres...
详细信息
This paper aims at providing some synthesis between two alternative representations of systems of two conservation laws and interprets different conditions on stabilizing boundary control laws. The first is the representation in Riemann invariants coordinates whose representation has been applied successfully for the stabilization of linear and non-linear of such hyperbolic systems. The second representation is based on physical modelling and leads to port Hamiltonian systems which are extensions of infinite-dimensional Hamiltonian systems defined on Dirac structure. The stability conditions on the boundary feedback relations derived with respect to the Riemann invariants are interpreted in terms of the dissipation inequality of the Hamiltonian functional.
The goal of this article is to present an extension of the port-based modelling approach (bond graphs) which applies to systems subject to heat and mass transfer. The methodology is based on the first principle, conse...
详细信息
The goal of this article is to present an extension of the port-based modelling approach (bond graphs) which applies to systems subject to heat and mass transfer. The methodology is based on the first principle, conservation laws and constitutive closure relations. The latter are the phenomenological laws relating fluxes and thermodynamic forces. Then instantaneous power conservation appears naturally as a geometric interconnection structure called Dirac structure. The multi-level case (several macroscopic spatial scales) is investigated with the assumption that the spatial scales are separated and may be considered as two distinct phases. In this case, it is shown that both the interconnection coupling within a phase and the multi-level interconnection coupling are Dirac structures.
In this paper, we extend recent results on adaptive extrernum seeking control to a class of nonlinear distributed parameter systems. We address the real-time optimization of a chemical reaction that occurs in a tubula...
详细信息
In this paper, we extend recent results on adaptive extrernum seeking control to a class of nonlinear distributed parameter systems. We address the real-time optimization of a chemical reaction that occurs in a tubular reactor described by an hyperbolic set of partial differential equations. An estimation and a control algorithm that take into account temperature constraints are developed based on a Lyapunov functional. We apply the algorithm to the on-line optimization of the Williams-Otto reaction where the kinetics are assumed a priori unknown. The result of this algorithm is a feedback profile control that steers the system to its optimum. (c) 2004 Elsevier Ltd. All rights reserved.
A qualitative reasoning methodology for describing complex chemical process is proposed. It focuses particularly on distributed parameters systems (DPS). This requires a considerable development beyond the techniques ...
详细信息
A qualitative reasoning methodology for describing complex chemical process is proposed. It focuses particularly on distributed parameters systems (DPS). This requires a considerable development beyond the techniques currently available for lumped parameterssystems. The methodology extends the signed digraph approach due to Iri et al (1979) by incorporating functional weighting derived from estimates of relative sensitivity coefficients. Mass and energy accumulation terms from balance equations and temporal edges are used to capture the dynamic characteristics of the system. The methodology is illustrated by considering the qualitative simulation of two dynamic systems, a tank and a distillation column, when subject to disturbances in the feed flow rate. In general the procedure is able to provide a very satisfactory qualitative description of the dynamic trajectories of the systems and avoid ambiguous solutions. In particular it offers the prospect of being able to anticipate problems at the preliminary process design stage and points to ways of overcoming them.
In order to solve an inverse heat conduction problem, a shape identification method for an elliptic problem is devised: the shape of an isothermal part of the boundary of a solid material and the heat flux through thi...
详细信息
In order to solve an inverse heat conduction problem, a shape identification method for an elliptic problem is devised: the shape of an isothermal part of the boundary of a solid material and the heat flux through this boundary are determined from temperature measurements in the domain or on its boundary. The problem is formulated as a minimization problem; several descent methods are presented and the gradient is computed either by direct calculation or by using an adjoint state. Simulated data, noisy simulated data and experimental data allow a validation of the method and show its robustness. Dans le but de résoudre un problème inverse de conduction thermique, une méthode d'optimisation de forme pour une équation elliptique est développée : la forme d'une partie isotherme de la frontière d'un domaine est déterminée à partir de mesures de temperatures à l'intérieur ou sur la frontière du domaine. Le problème est formulé comme un problème de minimisation. Plusieurs méthodes de descente sont présentées, le gradient est calculé par une méthode directe ou en fonction d'un état adjoint. Des données issues de simulation, puis bruitées et enfin des données expérimentales permettent de valider la méthode et de montrer sa robustesse.
A new method for the design of finite-dimensional observer-based fault diagnosis for a class of distributed parameter systems is presented. The considered system is a set of parabolic equations with nonlinear boundary...
详细信息
A new method for the design of finite-dimensional observer-based fault diagnosis for a class of distributed parameter systems is presented. The considered system is a set of parabolic equations with nonlinear boundary conditions which is reduced to a set of ordinary differential equations by the use of generalized orthogonal polynomials. The simultaneous state and sensors fault estimation of a class of distributed parameter systems is transformed to the state observation of finite dimensional nonlinear descriptor system without assumptions about the dynamics of fault components. The proposed observer is a finite dimensional non singular system. The exponential convergence in the original coordinates is stated and a numerical example is given to illustrate the efficiency of the method.
Process of accelerated cooling of steel plates is under consideration. Control algorithm is developed taking into account temperature distribution wihin plate thickness and essential temperature dependence of the coef...
详细信息
Process of accelerated cooling of steel plates is under consideration. Control algorithm is developed taking into account temperature distribution wihin plate thickness and essential temperature dependence of the coefficients in the motion equation. The proposed control approach provides precise average temperature tracking in complete information case. The method is based on ordinary differential equation describing the dynamics of the scalar variable under control. For the reallife situation with entry and exit surface temperature measurements and uncertain plant parameters the developed method implies application of distributed state observer associated with adaptation loop.
An urban-scale computer model for short-term prediction of city air quality is presented. The physical process of pollutant dispersion is described by distributedparameters advection-diffusion equation. The model, ut...
详细信息
A large number of computing systems require very high levels of reliability, availability, or safety. A fault-avoidance approach is not practical in many eases, and is costly and difficult for software, if not impossi...
详细信息
A large number of computing systems require very high levels of reliability, availability, or safety. A fault-avoidance approach is not practical in many eases, and is costly and difficult for software, if not impossible. One way of reducing tiie effects of an error introduced during the design of a program is to use multiple versions of the program, independently designed from a common specification. If these versions are designed by independent programming teams, it is to be expected that a fault in one version will not have the same behavior as any fault in the other versions. Since the errors in the output of the versions will be different and uncorrclated, it is pos-sible to run the versions concurrently, cross-check their results at prespecified points, and mask errors. A Design Diversity experiments (DEDIX) testbed has been implemented at UCLA to study the influence of common mode errors which can result in a failure of the entire system. The layered design of DEDDC and its decision algorithm are described. The usage of the system and its application in an ongoing experiment are explained.
暂无评论