The paper reviews modeling of thyristor–controlled series capacitors (TCSC) which are highly nonlinear systems with continuous and discontinuous states, and proposes three nonlinear controllers for it: (1) An approximate feedback linearization control (FLC) (2) A sliding surface–like design (3) Control in transformed coordinates. Detailed (switched) time– domain simulations are used to verify t...

This paper studies time-delayed switched systems that include both stable and unstable modes. By using multiple Lyapunov functions technique and a dwell time approach, several criteria on exponential stability for both linear and nonlinear systems are established. It is shown that by suitably controlling the switching between the stable and unstable modes exponential stabilization of the switch...

This paper is concerned with the problem of designing switched state feedback H∞ controllers for discrete-time Takagi– Sugeno (T–S) fuzzy systems. New types of state feedback controllers, namely, switched parallel distributed compensation (PDC) controllers, are proposed, which are switched based on the values of membership functions. Switched quadratic Lyapunov functions are exploited to derive...

This paper is mainly concerned with the problem of global output feedback stabilization for a class of switched nonlinear systems with uncertain control coefficients. First of all, it is shown that the unknown control coefficients are lumped together via a common coordinate transformation, thus the original switched nonlinear system is transformed into a new switched system for which control de...

A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on excitability index a nonlinear counterpart of magnitude frequency response of linear system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolu...

This paper investigates robust finite-time H∞ control for a class of impulsive switched nonlinear systems with time-delay. Firstly, using piecewise Lyapunov function, sufficient conditions ensuring finite-time boundedness of the impulsive switched system are derived. Then, finite-time H∞ performance analysis for impulsive switched systems is developed, and a robust finite-time H∞ state feedback...

In this article, we study the uniform asymptotic stability of the switched system u′ = fν(t)(u), u ∈ Rn, where ν : R+ → {1, 2, . . . ,m} is an arbitrary piecewise constant function. We find criteria for the asymptotic stability of nonlinear systems. In particular, for slow and homogeneous systems, we prove that the asymptotic stability of each individual equation u′ = fp(u) (p ∈ {1, 2, . . . ,m...

Abstract: This paper deals with the design problem of reliable H� fuzzy switching controllers for continuoustime nonlinear systems with different actuator fault mode. First, the Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear system. Next, based on the fuzzy model, a faulty switched system is constructed to model various classes of faulty nonlinear systems. The objective is...

Switching system is very important in the fields of industrial manufacture, chemical process, intelligent control, which have attracted much attention in recent years. It is well known that the phenomenon of time delay and nonlinear disturbance exist in the actual switching system, so the research on nonlinear time delay switched systems has great theoretical significance and practical value. I...

The non-convex behavior presented by nonlinear systems limits the application of classical optimization techniques to solve optimal control problems for these kinds of systems. This paper proposes a hybrid algorithm, namely BA-SD, by combining Bee algorithm (BA) with steepest descent (SD) method for numerically solving nonlinear optimal control (NOC) problems. The proposed algorithm includes th...