This paper is concerned with the quadratic stabilization for a class of switched nonlinear singular systems. For this class of switched systems, when each individual subsystem fails to be minimum-phase, the quadratic stabilization problem is solved via designing switching law. This extends available results for non-switched nonlinear singular systems.

Stability analysis for a class of switched nonlinear systems is addressed in this paper. Two linear matrix inequality (LMI) based sufficient conditions for asymptotic stability are proposed for switched nonlinear systems. These conditions are analogous counterparts for switched linear systems which are shown to be easily verifiable and suitable for design problems. The results are illustrated b...

In the present paper, we develop a modified pseudospectral scheme for solving an optimal control problem which is governed by a switched dynamical system. Many real-world processes such as chemical processes, automotive systems and manufacturing processes can be modeled as such systems. For this purpose, we replace the problem with an alternative optimal control problem in which the switching t...

A concept of generalized matrix measure for nonlinear systems is proposed to study the stability of switched nonlinear systems directly. Based on this concept, some sufficient conditions for robust stability of switched nonlinear systems are derived by using the methods of cycle analysis and contraction analysis.

This article addresses the invertibility problem for switched nonlinear systems affine in controls. The problem is concerned with reconstructing the input and switching signal uniquely from given output and initial state. We extend the concept of switch-singular pairs, introduced recently, to nonlinear systems and develop a formula for checking if the given state and output form a switch-singul...

A summarized study of the current state-of-the-art of the controlled intelligent systems based on the synergy of the potential of fuzzy logic in Takagy-Sugeno fuzzy systems with the structural flexibility and sustainability of switched nonlinear dynamic systems. In particular, following some of the fundamental theorems on quadratic stability of general nonlinear dynamic systems, due to Zhao and...

In the last decade, switched systems have gained much attention since a large class of practical systems can be modeled as switched systems (see e.g., (Dayawansa & Martin, 1999)) and there exist systems that cannot be asymptotically stabilized by a single continuous feedback control law (see e.g., (Brockett, 1983)). For stability analysis of switched systems, many interesting results have been ...

This paper presents a framework for control design of general nonlinear switched systems using passivity and two passivity indexes. Background material will be presented on traditional passivity for continuously varying systems, the concept of a passivity index, and passivity theory for switched systems. The passivity index concept will then be generalized to apply to switched systems to measur...