In this article we study integral-input-to-state stability (iISS) of nonlinear switched systems with jumps. We demonstrate by examples that iISS is not always preserved under slow enough dwell time switching, and then present sufficient conditions for to be switching. These involve, besides a sufficiently large time, some additional properties comparison functions characterizing the individual ...

We focus on the development of a Lyapunov-based economic model predictive control (LEMPC) method for a class of switched nonlinear systems for which the mode transitions take place according to a prescribed switching schedule. In contrast to steady-state operation of conventional model predictive control (MPC) methods which use a quadratic objective function in their formulations, LEMPC utilize...

this paper undertakes the synthesis of a logic-based switching h2/h∞ state-feedback controller for continuous-time lti singular perturbation systems. our solution achieves a minimum bound on the h2 performance level, while also satisfying the h∞ performance requirements. the proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. a convex lmi-b...

Given a family of linear systems which admit an asymptotically stable convex combination, the existence of stabilizing time-dependent switching rules can be proved by using the Baker-Campbell-Hausdorff formula for exponentials. The control laws obtained in this way are periodic, fast switching and independent of the initial state. We prove that under a similar assumption, the approach can be ex...

Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and their stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, considering a given infi...

Certain classes of essentially nonlinear switched mechanical systems with one degree of freedom are investigated. The conditions are obtained under which, for the families of subsystems corresponding to switched systems, there exist common Lyapunov functions of the prescribed form. The fulfilment of these conditions provides the asymptotic stability of equilibrium positions of switched systems ...

We propose an algebraic model for hybrid systems and illustrate its usefulness by proving theorems in realization theory using this viewpoint. By a hybrid system, we mean a collection of continuous nonlinear control systems associated with a discrete finite state automaton. The automaton switches between the continuous control systems, and this switching is a function of the discrete input symb...

The composite nonlinear feedback control tec hnique is developed for a class of linear systems with actuator saturation, which consists of a linear and a nonlinear feedback parts without any switching element. The linear part is to yield a quick response in face of the actuator limits for the desired input levels. The nonlinear part is to reduce the overshoot caused by the linear part as the sy...

The nonlinear air vehicles can be linearized about desired equilibrium points and a linear controller can be designed which stabilizes the aircraft about that equilibrium point. A mission planning is considered as taking the nonlinear system through different equilibrium points. Thus there will be different linear systems for each equilibrium point. To design a controller that drives the system...

In this paper we investigate some analysis and control problems for discrete-time hybrid systems in the piece-wise affine form. By using arguments from the dissipativity theory for nonlinear systems, we show that H∞ analysis and synthesis problems can be formulated and solved via Linear Matrix Inequalities by taking into account the switching structure of the considered system. In this paper we...