In this paper, we present a further mathematical study on the report of existence of n-scroll chaotic attractors in a modified Chua’s circuit. A series of results based on mathematical theory are given. First, we show that the chaotic attractors of the modified Chua’s circuit are globally attractive, with estimations given for the globally attractive set and positive invariant set. Then, we stu...

Input-to-State Stability (ISS) and the ISSLyapunov function have proved to be useful tools for the analysis and design of nonlinear systems in a variety of contexts. Motivated by the fact that many feedback control laws, such as model predictive control or event-based control, lead to discontinuous discrete-time dynamics, we investigate ISS-Lyapunov functions for such systems. ISS-Lyapunov func...

In this paper, we discuss a method of auxiliary controlled models and its application to solving some robust control problems for a system described by differential equations. As an illustration, a system of nonlinear differential equations of the fourth order is used. A solution algorithm, which is stable with respect to informational noise and computational errors, is presented. The algorithm...

We assume, for a distributed parameter control system, that a linear stabilizing feedback is available. We then seek a stabilizing feedback, necessarily nonlinear, subject to an a priori bound on the control.

A robust feedback control is designed for mechanisms with backlash, where regulation problem is solved under the presence of external perturbation. Appealing the static deadzone model as a model for backlash, the nonlinear problem is posted in linear HH∞ framework. Experimental realization in an industrial emulator with backlash is carried out, evidencing an acceptable performance. Keywords– Ba...

This paper is concerned with the problems of global stabilization and restricted tracking for a multiple oscillator systembybounded feedback. A nonlinear feedback law consisting of nested saturation functions is proposed to achieve global stabilization. To improve the transient performance of the closed-loop system, the parameters in this feedback law can be tuned to assign the poles of the clo...

During the last decade a considerable progress has been made in the design of stabilizing controllers for nonlinear systems with known and unknown constant parameters. New design tools such as adaptive feedback linearization, adaptive backstepping, control Lyapunov functions (CLFs) and robust control Lyapunov functions (RCLFs), nonlinear damping and switching adaptive control have been introduc...

This paper considers a tracking problem of nonlinear feedback control systems with perturbations based on robust right coprime factorization. The proposed universal design scheme on the nonlinear control system can not only guarantee the robust stability of the perturbed systems but also realize the output tracking to the reference input. And the effectiveness of the proposed method is confirme...

The problem of exact linearization via feedback consists in transforming a nonlinear system into a linear one using a state feedback. In the multivariable case, the nonlinear control law achieves also decoupling. The use of feedback linearization requires the complete knowledge of the nonlinear system. In practice, there are many processes whose dynamics is very complex, highly nonlinear and us...

Abstract: Heating, Ventilating and Air Conditioning (HVAC) system is a nonlinear MIMO system which is very difficult to control. This paper presents adaptive fuzzy output feedback control based on observer for nonlinear HVAC System whose state variables are not available. Fuzzy systems are employed to approximate the unknown nonlinear functions of the HVAC system and the state observer is desig...