Robust H∞ control for linear discrete-time systems with norm-bounded nonlinear uncertainties

نویسندگان

  • Yoonsun Kim
  • Youngjin Park
چکیده

This note provides some corrections to the aforementioned paper. In [1, eq. (7)], C and aMkE1 cannot be added because the dimensions of the matrices are different. Therefore, the consequent derivations have to be adjusted. We propose two methods that can be used to correct this problem without harming the main idea of [1]. The first method is zero padding to zk 2 < to make zk 2 <. This can be written as follows:

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

Optimal discrete-time control of robot manipulators in repetitive tasks

Optimal discrete-time control of linear systems has been presented already. There are some difficulties to design an optimal discrete-time control of robot manipulator since the robot manipulator is highly nonlinear and uncertain. This paper presents a novel robust optimal discrete-time control of electrically driven robot manipulators for performing repetitive tasks. The robot performs repetit...

متن کامل

Admissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model

This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...

متن کامل

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 $H_{infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH

In this paper we consider the problem of delay-dependent robustH1 control for uncertain fuzzy systems with time-varying delay. The Takagi–Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay isassumed to have lower and upper bounds. Based on the Lyapunov-Krasovskiifunctional method, a sufficient condition for the existence of a robust $H_{infty}$controller is obtained. The fuzz...

متن کامل

Robust State-Feedback H-infinity Control For Discrete-Time Descriptor Systems With Norm-Bounded Parametric Uncertainties

This paper deals with a state feedback H∞ control problem for linear time-invariant discrete-time descriptor systems with norm-bounded parametric uncertainties. To this end, bounded real lemma (BRL) is extended on the class of uncertain descriptor systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical example is included to i...

متن کامل

A Robust H 2 Performance Problem forDiscrete - Time

A robust performance problem is studied for discrete-time systems with norm-bounded uncertainties. The control performance is characterized in a determin-istic setting as the average value of a quadratic cost with respect to disturbances in l 2. For linear time-invariant systems, the average cost deened in this way reduces to the H 2 norm of the system transfer function. A robust control proble...

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:
  • IEEE Trans. Automat. Contr.

دوره 48  شماره 

صفحات  -

تاریخ انتشار 2003