Semidefinite Programming Techniques for Reduced Order Systems with Guaranteed Stability Margins

نویسندگان

  • Belinda B. King
  • Ekkehard W. Sachs
چکیده

In this paper, the compensator based reduced order control design framework of 2] is modiied to yield low order systems with guaranteed stability margins. This result is achieved through use of a logarithmic barrier function. In addition, a reduced basis method is formulated in which the compensator equations are approximated on uneven grids; guaranteed stability margins are also included. The methods are tested numerically on a one dimensional, nonlinear, damped, hyperbolic structural control problem. Examples are provided to illustrate diierences between systems designed by both reduced basis methods.

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

Semideenite Programming Techniques for Reduced Order Systems with Guaranteed Stability Margins: a Numerical Study

In this paper, the compensator based reduced order control design framework of 2] is modiied to yield low order systems with guaranteed stability margins. This result is achieved through use of a logarithmic barrier function. In addition, a reduced basis method is formulated in which the compensator equations are approximated on uneven grids; guaranteed stability margins are also included. The ...

متن کامل

A Recurrent Neural Network Model for Solving Linear Semidefinite Programming

In this paper we solve a wide rang of Semidefinite Programming (SDP) Problem by using Recurrent Neural Networks (RNNs). SDP is an important numerical tool for analysis and synthesis in systems and control theory. First we reformulate the problem to a linear programming problem, second we reformulate it to a first order system of ordinary differential equations. Then a recurrent neural network...

متن کامل

Approximation of Subnetwork Models using Frequency-Domain Data

In this paper, we approximate models of interconnected systems that are to be used for decentralized control design. The suggested approach is based on approximation of so-called subnetwork models. A subnetwork model is a model of the interconnected system, as seen from one specific position in the network. The simplification is done by using weighted model reduction, and several approximation ...

متن کامل

Minimax design of 2-D IIR digital filters using sequential semidefinite programming

A method for the minimax design of quadrantally symmetric 2-D IIR filters with guaranteed stability is proposed. The design problem is solved by formulating an objective function in the semidefinite programming framework using a linear approximation for the transfer function. The issue of filter stability is addressed by converting the stability constraints into linear matrix inequalities based...

متن کامل

Cern – European Organization for Nuclear Research Analytic Robust Stability Analysis of Svd Orbit Feedback

Orbit feedback controllers are indispensable for the operation of modern particle accelerators. Many such controllers are based on the decoupling of the inputs and outputs of the system to be controlled with the help of the singular value decomposition (SVD controller). It is crucial to verify the stability of SVD controllers, also in the presence of mismatches between the used accelerator mode...

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:
  • Comp. Opt. and Appl.

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2000