Observer-based control of fractional-order linear systems with norm-bounded uncertainties: New convex-optimization conditions ⋆

نویسندگان

  • S. Ibrir
  • M. Bettayeb
چکیده

New sufficient linear-matrix-inequality conditions are provided to ensure the stability of a class of fractional-order systems by means of asymptotic observer-based feedbacks. It is shown that the search of the observer and the controller gains can be obtained by decoupling the necessary matrix inequalities that involve coupled gains. The obtained numerically tractable conditions are formulated as a set of strict linear matrix inequalities and compared to other sufficient conditions with equality constraints. Numerical computations are provided to show the straightforwardness and the efficiency of the proposed control designs.

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

Local stabilization for a class of nonlinear impulsive switched system with non-vanishing uncertainties under a norm-bounded control input

Stability and stabilization of impulsive switched system have been considered in recent decades, but there are some issues that are not yet fully addressed such as actuator saturation. This paper deals with expo-nential stabilization for a class of nonlinear impulsive switched systems with different types of non-vanishing uncertainties under the norm-bounded control input. Due to the constraine...

متن کامل

Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties

*Correspondence: [email protected] Key Laboratory of Electronic Equipment Structure Design of Ministry of Education, Xidian University, Xi’an, China School of Civil & Environmental Engineering, University of New South Wales, Sydney, Australia Abstract This paper investigates the problems of robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded ...

متن کامل

A Min-max Predictive Control Algorithm for Uncertain Norm-bounded Linear Systems

A novel robust predictive control algorithm for input-saturated uncertain linear discrete-time systems with structured norm-bounded uncertainties is presented. The solution is based on the minimization, at each time instant, of a LMI convex optimization problem obtained by a recursive use of the S-procedure. The general case of N free moves is presented. Stability and feasibility are proved and...

متن کامل

State Feedback Guaranteed Cost Repetitive Control for Uncertain Discrete-Time Systems

This paper considers the problem of guaranteed cost repetitive control for uncertain discrete-time systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The objective is to develop a novel design method so that the closed-loop repetitive control system is quadratically stable and a certain bound of performance index is guaranteed for all admissible uncertainties...

متن کامل

State-feedback Control of Systems with Multiplicative Noise via Linear Matrix Inequalities

We consider LTI systems perturbed by parametric uncertainties, modeled as white noise disturbances. We show how to maximize, via state-feedback control, the smallest norm of the noise intensity vector producing instability in the mean square sense, using convex optimization over linear matrix inequalities. We also show how to maximize performance robustness, where performance is measured by exp...

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 2014