ANALYSIS AND DESIGN OF SWITCHING AND FUZZY SYSTEMS Murat Akgül Ph.D. in Department of Electrical and Electronics Engineering Supervisor: Prof. Dr. Ömer Morgül September 2002 In this thesis we consider the controller design problems for switching and fuzzy systems. In switching systems, the system dynamics and/or control input take different forms in different parts of the underlying state space...

In recent years, based on the growing importance of clean energy in comparison with conventional energy production from fossil fuels, DG systems are gradually becoming more popular all over the world. These resources solve many problem of system. However, these resources create some other problems too. One of the most problem of DGs is unwanted islanding. This paper addresses reliable passive i...

This paper considers the consensus problem for multi-agent systems with inherent nonlinear dynamics under directed topologies. A variable transformation method is used to convert the consensus problem to a partial stability problem. Both first-order and second-order systems are investigated under fixed and switching topologies, respectively. It is assumed that the inherent nonlinear terms satis...

This paper considers the consensus problem of nonlinear multi-agent systems under switching directed topologies. Specifically, the dynamics of each agent incorporates an intrinsic nonlinear term and the interaction topology may not contain a spanning tree at any time. By designing a state-controlled switching law, we show that the multi-agent system with the neighbor-based protocol can achieve ...

For input nonaffine nonlinear control systems, the minimum phase property of the system in general depends on the control law. Switching or discontinuous controllers may offer advantages in this context. In particular, there may not exist a continuous control law which would keep the output identically equal to zero and for which the zero output constrained dynamics are locally stable, whereas ...

In this paper we prove that a switched nonlinear system has several useful input-to-state stable (ISS)-type properties under average dwelltime switching signals if each constituent dynamical system is ISS. This extends available results for switched linear systems. We apply our result to stabilization of uncertain nonlinear systems via switching supervisory control, and show that the plant stat...

This paper presents a novel optimal adaptive feedback control concept for nonlinear switched autonomous systems. Our proposed controller implements a closed-loop switching law, which is represented by a parametrized switching plane in the state space. During the plant operation, the plane parameters are incrementally adapted to state measurements in real time by iteratively solving an associate...

This paper addresses the stabilization issues for a class of uncertain switched neutral systems with nonlinear perturbations. Based on new classes of piecewise Lyapunov functionals, the stability assumption on all the main operators or the convex combination of coefficient matrices is avoid, and a new switching rule is introduced to stabilize the neutral systems. The switching rule is designed ...

Using analytical modeling and detailed numerical simulations, we investigate properties of hybrid systems of photonic crystal microcavities which incorporate a highly nonlinear ultraSlow light medium. We demonstrate that such systems, while being miniature in size sorder wavelengthd, and integrable, could enable ultrafast nonlinear all-optical switching at ultralow seven single photond energy l...

In this paper, finite phase semi-Markov processes are introduced. By introducing variables and a simple transformation, every finite phase semi-Markov process can be transformed to a finite Markov chain which is called its associated Markov chain. A consequence of this is that every phase semi-Markovian switching system may be equivalently expressed as its associated Markovian switching system....