This paper presents the control of non-regular or singular nonlinear systems applying non-linear predictive controllers. The systems treated here have the relative degree not well defined thus feedback linearization is not applicable due to singularities in the input-output linearizing control law. An alternative controller capable of dealing with non-regular systems is the NCGPC (Nonlinear Con...

In this paper we deal with the problem of rendering hybrid/nonlinear systems into convergent closed-loop systems by means of a feedback law or switching rules. We illustrate our approach to this problem by means of two examples: the antiwindup design for a marginally stable system with input saturation, and the design of a switching rule for a piece-wise affine system operating in different modes.

Nonlinear control systems have undergone tremendous advances in the last two decades at the levels of theory and applications. Among those, a class of particular interest is that one resulting from the interaction of a control system with a system governed by different dynamics. This class of system lies in the hybrid and nonlinear control systems field. In the last decade, the study of such hy...

This paper studies theuncertain nonlinear dynamics of a MEMS optical switch addressing electrical, mechanical and optical subsystems. Recently, MEMS optical switch has had significant merits in reliability, control voltage requirements and power consumption. However, an inherent weakness in designing control for such systems is unavailability of switch position information at all times due to t...

In this paper, a fuzzy control scheme, which employs the output feedback control approach, is suggested for the stabilization of nonlinear systems with uncertainties. The uncertain nonlinear system can be represented by uncertain Takagi-Sugeno (TS) fuzzy model structure, which is further rearranged to give a set of uncertain linear systems. A switching-type fuzzy-model-based controller, which u...

We address nonlinear reachability computation for uncertain monotone systems, those for which flows preserve a suitable partial orderings on initial conditions. In a previous work [1], we introduced a nonlinear hybridization approach to nonlinear continuous reachability computation. By analysing the signs of off-diagonal elements of system’s Jacobian matrix, a hybrid automaton can be obtained, ...

This paper focuses on analyzing the finite-time convergence of a nonlinear consensus algorithm for multi-agent networks with unknown inherent nonlinear dynamics. Due to the existence of the unknown inherent nonlinear dynamics, the stability analysis and the finite-time convergence analysis of the closed-loop system under the proposed consensus algorithm are more challenging than those under the...

We investigate the properties of nonlinear excitations in different types of soliton bearing systems with long-range dispersive interaction. We show that length-scale competition in such systems universally results in a multi-component structure of nonlinear excitations and can lead to a new type of multistability: coexistence of different nonlinear excitations at the same value of the spectral...

This paper studies the exponential stability of a class of periodically time-switched nonlinear systems. Three cases of such systems which are composed, respectively, of a pair of unstable subsystems, of both stable and unstable subsystems, and of a pair of stable systems, are considered. For the first case, the proposed result shows that there exists periodically switching rule guaranteeing th...

We consider here the problem of statistical filtering and smoothing in nonlinear non-Gaussian systems. The novelty consists in approximating the nonlinear system by a recent switching system, in which exact fast optimal filtering and smoothing are workable. Our methods are applied to an asymetric stochastic volatility model and some experiments show their efficiency.