The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
Results on systematic methodologies for obtaining progressively greater invariant sets of nonlinear systems within a region of interest are reported in this work. As with recent results on the subject, algorithms are developed that iteratively prove stability for larger regions by subtracting those already proved to be stable; this task is performed by an easy-to-implement procedure for piecewise...
The problem of decentralized piecewise ℋ∞ control for discrete-time large-scale nonlinear systems with time-varying delay is studied. Each nonlinear subsystem in the large-scale system is represented by a Takagi-Sugeno (T-S) model, and the time-varying state delay of each subsystem is assumed to be of an interval-like type. We propose a two-term approximation method to transform the closed-loop fuzzy...
This paper addresses a new control design method for Takagi-Sugeno fuzzy systems subject to input nonlinearity, state constraints and also persistent disturbances bounded in amplitude. The proposed method aims at designing simultaneously a dynamic output feedback controller together with its associated anti-windup compensator. The design conditions are derived from Lyapunov stability theorem and expressed...
In this work, delay-independent stability conditions for discrete-time switched fuzzy TS time-delay systems described by delayed difference equations are presented. Vectorial norm approach and M-matrix properties are utilized for the stability analysis. The main benefit of this technique is that it avoids the problem of existence of Lyapunov functions. A numerical example is given to demonstrate the...
This paper presents two methodologies intended to address the problem of constructing the most adequate Takagi-Sugeno representation of a nonlinear system with respect to a performance goal: maximum decay rate. Both approaches are based on coordinate transformations: the first one uses the Hessian of the system in an attempt to represent nonlinearities as sum of squares of independent variables; the...
In this note, the problem of frequency weighted nonlinear model reduction is addressed. It consists in approximating a given nth-order nonlinear system by a kth-order nonlinear system, where k < n. The goal is to compute the reduced order system minimizing the L2-gain from the input to the difference between the outputs of the original and the reduced systems. For this purpose the nonlinear system...
This paper studies the input-to-state stability (ISS) of nonlinear systems in Takagi-Sugeno's form. Following the definitions and ISS properties proposed by Sontag and Wang [1], a condition in terms of Linear Matrix Inequalities (LMIs) and predefined norm-bounded inputs is derived. Due to the convex property of the weighted sum of input matrices, the input field is bounded and the ISS property holds...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.