D.C. Optimization Approach to Robust Control: Feasibility Problems

نویسنده

  • H. D. Tuan
چکیده

The feasibility problem for constant scaling in output feedback control is considered. This is an inherently di cult problem [20, 21] since the set of feasible solutions is nonconvex and may be disconnected. Nevertheless, we show that this problem can be reduced to the global maximization of a concave function over a convex set, or alternatively, to the global minimization of a convex program with an additional reverse convex constraint. Thus this feasiblity problem belongs to the realm of d.c. optimization [14, 15, 32, 33], a new eld which has recently emerged as an active promising research direction in nonconvex global optimization. By exploiting the speci c d.c. structure of the problem, several algorithms are proposed which at every iteration require solving only either convex or linear subproblems. Analogous algorithms with new characterizations are proposed for the Bilinear Matrix Inequality (BMI) feasibility problem.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ROBUST FUZZY CONTROL DESIGN USING GENETIC ALGORITHM OPTIMIZATION APPROACH: CASE STUDY OF SPARK IGNITION ENGINE TORQUE CONTROL

In the case of widely-uncertain non-linear system control design, it was very difficult to design a single controller to overcome control design specifications in all of its dynamical characteristics uncertainties. To resolve these problems, a new design method of robust fuzzy control proposed. The solution offered was by creating multiple soft-switching with Takagi-Sugeno fuzzy model for optim...

متن کامل

A Robust Optimization Approach for a p-Hub Covering Problem with Production Facilities, Time Horizons and Transporter

Hub location-allocation problems are currently a subject of keen interest in the research community. However, when this issue is considered in practice, significant difficulties such as traffic, commodity transportation and telecommunication tend to be overlooked. In this paper, a novel robust mathematical model for a p-hub covering problem, which tackles the intrinsic uncertainty of some param...

متن کامل

A harmony search-based approach for real-time volt & var control in distribution network by considering distributed generations units

In recent decade, development of telecommunications infrastructure has led to rapid exchange of data between the distribution network components and the control center in many developed countries. These changes, considering the numerous benefits of the Distributed Generators (DGs), have made more motivations for distribution companies to utilize these kinds of generators more than ever before. ...

متن کامل

Honey global supply chain network design using fuzzy optimization approach

From the past, honey has been known as a healthy product for human life. Iran has a suitable climate for beekeeping and is among the high-ranked countries in honey production. However, due to failure to comply with quality issues, export of honey from Iran is associated with many problems. According to this issue, this paper presents a robust possibilistic optimization network design model for ...

متن کامل

A Robust Desirability-based Approach to Optimizing Multiple Correlated Responses

There are many real problems in which multiple responses should be optimized simultaneously by setting of process variables. One of the common approaches for optimization of multi-response problems is desirability function. In most real cases, there is a correlation structure between responses so ignoring the correlation may lead to mistake results. Hence, in this paper a robust approach based ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997