Toward Analytic Solution of Nonlinear Differential Difference Equations via Extended Sensitivity Approach

In this paper an efficient computational method based on extending the sensitivity approach(SA) is proposed to find an analytic exact solution of nonlinear differential difference equations.In this manner we avoid solving the nonlinear problem directly.By extension of sensitivity approach for differential difference equations(DDEs),the nonlinear original problem is transformed into infinite linear differential difference equations,which should be solved in a recursive manner.Then the exact solution is determined in the form of infinite terms series and by intercepting series an approximate solution is obtained.Numerical examples are employed to show the effectiveness of the proposed approach.

Passive Design and Building Renovation in the Mediterranean Area： New Sensitive Approach for Sustainability

The criteria of sustainable design have been already received for reducing heating energy consumption （i.e. Passivhaus standard and first fulfillment of the EPDB Directive）. Nowadays, many research are being involved to extend the passive standard to buildings in mild climate areas. Compared to building efficiency in the middle European area, the requirements for sustainable development of construction in the Mediterranean area imply an higher and more articulated passive control of outside/inside energy flows in order to extend energy efficiency measures to the whole year. This is based on an intense interaction between external climatic conditions and the building whole performance, with a dynamic behavior according to climate seasonal changes and inside comfort. Consequently, the integrated design of building fabrics, conceived not as separated components but as complex organism and system of interaction, increases its potential and strategic aim for reducing building consumptions of whole year in the mild climate. This paper demonstrates, both in new constructions and in the renovation of existing buildings, that the whole performance approach is the most suitable for sustainable design in a typical Mediterranean climate in order to increase the efficiency with controlled investments. The aim of this research is to show, through some case studies in Sardinia, that this sensitive and performance approach could optimize the ratio between economic costs and energy and environmental benefits. Only through an integrated and intelligent design of the architectural organism it is possible to achieve the new targets for sustainable building development, even for mild climate areas, required by European Directive 2002/91/EC.

Optimal tracking control for linear time-delay large-scale systems with persistent disturbances

An optimal tracking control （OTC） problem for linear time-delay large-scale systems affected by external persistent disturbances is investigated. Based on the internal model principle, a disturbance compensator is constructed. The system with persistent disturbances is transformed into an augmented system without persistent disturbances. The original OTC problem of linear time-delay system is transformed into a sequence of linear two- point boundary value （TPBV） problems by introducing a sensitivity parameter and expanding Maclaurin series around it. By solving an OTC law of the augmented system, the OTC law of the original system is obtained. A numerical simulation is provided to illustrate the effectiveness of the proposed method.

Optimal tracking control for nonlinear large-scale systems with persistent disturbances

This paper studies the optimal control with zero steady-state error problem for nonlinear large-scale systems affected by external persistent disturbances.The nonlinear large-scale system is transformed into N nonlinear subsystems with interconnect terms.Based on the internal model principle,a disturbance compensator is constructed such that the ith subsystem with external persistent disturbances is transformed into an augmented subsystem without disturbances.According to the sensitivity approach,the optimal tracking control law for the ith nonlinear subsystem can be obtained.The optimal tracking control law for the nonlinear large-scale systems can be obtained.A numerical simulation shows that the method is effective.

Suboptimal Control of Time-Varying Neutral Control Systems

In this paper,the optimal control of time-varying neutral control systems is investigated by means of the Maxmium Principle of time-delay systems.optimal control law is given. Then sub-optimal control of time-varying neutral control systems is studied by using sensitivity approach. Algorithm for suboptimal control is given.