A Nash Strategy Approach for Non-Uniform Multiple Pole Shifting

نویسندگان

  • Marc Jungers
  • Hisham Abou-Kandil
  • Eugênio B. Castelan
  • Edson R. De Pieri
چکیده

By defining a special differential Nash game with an open-loop information structure scheme, a simple and direct method to obtain non-uniform multiple pole shifting for linear multivariable systems is presented. The approach is based on exploiting some properties of nonsymmetric algebraic Riccati equations associated with the Nash game. Combining solutions of such equations gives, in a single step, a constant feedback gain matrix to position the closed loop poles of the controlled system at the desired locations.

برای دانلود 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

A gametheoretic approach for non-uniform pole shifting and pole homothety

This paper investigates the problems of non-uniform pole shifting or pole homothety in multivariable linear systems by using a gametheoretic approach and more specifically a particular Nash strategy with an open-loop information structure for a game including a time preference rate in the quadratic criteria. Such a result is possible due to properties of non–symmetric Algebraic Riccati equation...

متن کامل

Using and comparing metaheuristic algorithms for optimizing bidding strategy viewpoint of profit maximization of generators

With the formation of the competitive electricity markets in the world, optimization of bidding strategies has become one of the main discussions in studies related to market designing. Market design is challenged by multiple objectives that need to be satisfied. The solution of those multi-objective problems is searched often over the combined strategy space, and thus requires the simultaneous...

متن کامل

A study on the use of perturbation technique for analyzing the nonlinear forced response of piezoelectric microcantilevers

In this paper, a comparison is made between direct and indirect perturbation approaches to solve the non-linear vibration equations of a piezoelectrically actuated cantilever microbeam. In this comparison, the equation of motion is considered according to Euler-Bernoulli theory with considering the non-linear geometric and inertia terms resulted from shortening effect. In the direct perturbatio...

متن کامل

Vehicle Routing Problem in Competitive Environment: Two-Person Nonzero Sum Game Approach

Vehicle routing problem is one of the most important issues in transportation. Among VRP problems, the competitive VRP is more important because there is a tough competition between distributors and retailers. In this study we introduced new method for VRP in competitive environment. In these methods Two-Person Nonzero Sum games are defined to choose equilibrium solution. Therefore, revenue giv...

متن کامل

Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs

In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011