A unified graphical modeling technique, “Switching Flow-Graph” is developed to study the nonlinear dynamic behavior of pulse-width-modulated (PWM) switching converters. Switching converters are variable structure systems with linear subsystems. Each subsystem can be represented by a flow-graph. The Switching Flow-Graph is obtained by combining the flowgraphs of the subsystems through the use of...

For a class of uncertain nonlinear multivariable discrete time dynamic systems, an adaptive decoupling controller (ADC) is presented, which can deal with the case that the zero dynamics (ZD) of the system is not asymptotically stable. The ADC developed is composed of a linear robust ADC, a neural network (NN) nonlinear ADC and a switching mechanism. The linear robust ADC can assure the bounded-...

The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By the method of multiple Lyapunov function, a sufficient ISS condition is given based on a quantitative relation of the input and the values of the Lyapunov functions of the subsystems before and after the switching instants. In terms of the average dwell-time of the switching laws, some suffic...

The predicted growth of broadband services, has led to extensive research for high capacity systems and networks. Current efforts are concentrated on the investigation of optical time-division multiplexing (OTDM) techniques combined with wavelength-division multiplexing (WDM) in order to fully utilize the potential of the installed fibers. All-optical switches, which can route a signal spatiall...

Two novel approaches to stable legged locomotion control (neural-oscillator based control and switching control) are studied for achieving bipedal locomotion stability. Postural stability is realized by structural dynamics shaping, and gait stability is achieved by synchronization with neural oscillators and switching control. A biologically inspired control with neural oscillators (central pat...

This article deals with input-to-state stability (ISS) of discretetime switched systems. Given a family of nonlinear systems with exogenous inputs, we present a class of switching signals under which the resulting switched system is ISS. We allow non-ISS systems in the family and our analysis involves graph-theoretic arguments. A weighted digraph is associated to the switched system, and a swit...

Switching max-plus-linear (SMPL) systems are discrete event systems that can switch between different modes of operation. In each mode the system is described by a max-pluslinear state equation and a max-plus-linear output equation, with different system matrices for each mode. The switching may depend on input and state, or it may be a stochastic process. We derive a stabilizing model predicti...

This paper studies the output-feedback control for stochastic feedforward nonlinear systems with Markovian switching and unknown measurement sensitivity. By developing a dual-domination design approach, state observer an output feedback law are designed. using generalized Itô formula Dynkin systems, it is shown that closed-loop system has unique solution of almost surely asymptoti...