In this paper, a novel approach for finite-time stabilization of uncertain affine systems is proposed. In the proposed approach, a fast terminal sliding mode (FTSM) controller is designed, based on the input-output feedback linearization of the nonlinear system with considering its internal dynamics. One of the main advantages of the proposed approach is that only the outputs and external state...

A comparative study of wavelet and polynomial models for nonlinear regime-switching (RS) systems is carried out. Regime-switching systems, considered in this study, are a class of severely nonlinear systems, which exhibit abrupt changes or dramatic breaks in behavior, due to regime switching caused by associated events. Both wavelet and polynomial models are used to describe discontinuous dynam...

A common method to study the dynamic behavior of macroeconomic variables is using linear time series models; however, they are unable to explain nonlinear behavior of the series. Given the dependency between stock market and derivatives, the behavior of the underlying asset price can be modeled using Markov switching process properties and the economic regime significance. In this paper, a two-...

Higher order numerical schemes for affine nonlinear control systems developed elsewhere by the authors are adapted to switching systems with prescribed switching times. In addition the calculation of the required multiple switching control integrals is discussed. These schemes are particularly useful in situations involving very rapid switching. AMS Subject Classification: 65L05, 93B40

This paper studies switching stabilization problems for general switched nonlinear systems. A piecewise smooth controlLyapunov function (PSCLF) approach is proposed and a constructive way to design a stabilizing switching law is developed. The switching law is constructed via the directional derivatives of the PSCLF with a careful discussion on various technical issues that may occur on the non...

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...

This paper discusses the applicability of a switching control scheme for a nonlinear system with ill-defined relative degree. The control scheme switches between exact and approximate input-output linearisation control laws. Unlike a linear system under a switching control scheme, the equilibria of a nonlinear system may change with the switching. It is pointed out that this is not sufficient t...

We study the problem of feedback stabilization of a family of nonlinear stochastic systems with switching mechanism modeled by a Markov chain. We introduce a novel notion of stability under switching, which guarantees a given probability that the trajectories of the system hit some target set in finite time and remaining thereinafter. Our main contribution is to prove that if the expectation of...

Saxén, John-Eric: Identification of Switching Systems – An On-line Algorithm. Master’s Thesis, Department of Information Technologies, Åbo Akademi University, 2010. 80 pages. This thesis focuses on the identification of special types of systems, hybrid systems with switching character, which present a new challenge for the research circulating around system identification. A switching identific...

Two phenomena can produce chattering: switching of input control signal and the large amplitude of this switching (switching gain). To remove the switching of input control signal, dynamic sliding mode control (DSMC) is used. In DSMC switching is removed due to the integrator which is placed before the plant. However, in DSMC the augmented system (system plus the integrator) is one dimension bi...