Observer design for one-sided Lipschitz discrete-time systems

نویسندگان

  • Mohamed Benallouch
  • Mohamed Boutayeb
  • Michel Zasadzinski
چکیده

This note focuses on state observer design for a general class of nonlinear discrete-time systems that satisfies the one-sided Lipschitz condition. It has been shown that this condition may encompass a large class of nonlinearities. However, challenging problems arise such as relevant choice of the Lyapunov function or non convexity of the obtained stability conditions. Both full-order and reducedorder observer design are considered. In this work, the main contribution is to provide first some mathematical artifacts on the Lyapunov function to obtain simple and workable stability conditions, furthermore we show how to obtain LMIs conditions to assure asymptotic convergence. On the other hand, we extend the obtained results to n − p reduced order observer design. High performances are shown through simulation results.

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

Design of observer for one-sided Lipschitz nonlinear systems with interval time-varying delay

This paper deals with state observer design problem for a class of nonlinear dynamical systems with interval time-varying delay that satisfies the one-sided Lipschitz condition. The systems under consideration include the well-studied Lipschitz system as a special case and possess inherent advantages with respect to conservativeness. By constructing a novel Lyapunov-Krasovskii functional and ut...

متن کامل

Nonlinear Observer Design for One-Sided Lipschitz Generalized System

State estimation of systems satisfying some special nonlinearities have been important topics in nonlinear system theory. In this paper, we discuss the problem ofobserver design for one-sided Lipschitz nonlinear generalized systems basedon generalized quadratic stability and Lyapunov function, by using the linear matrix inequality (LMI) andlinear matrix equality (LME) approach, we propose some ...

متن کامل

Design and Implementation of Discrete Time Observer Based Backstepping Controller for a 2DOF Servomechanism

The two degrees of freedom servomechanism has many applications, including in gimbaled seekers. These mechanisms require closed-loop control to perform properly. In this paper, an observer-based multi-input-multi-output hybrid controller is designed for a two-degree-of-freedom servomechanism. Since in the model presented in this paper, disturbances on the mechanism are considered, so an extende...

متن کامل

Adaptive Observer Design for One-Sided Lipschitz Class of Nonlinear Systems

This paper addresses adaptive observer design problem for joint estimation of the states and unknown parameters for a class of nonlinear systems which satisfying one-sided Lipschitz and quadratic inner bounded conditions. It’s shown that the stability of the proposed observer is related to finding solutions to a quadratic inequality consists of state and parameter errors. A coordinate transform...

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:
  • Systems & Control Letters

دوره 61  شماره 

صفحات  -

تاریخ انتشار 2012