It is demonstrated that neural networks can be used effectively for the identification and control of nonlinear dynamical systems. The emphasis is on models for both identification and control. Static and dynamic backpropagation methods for the adjustment of parameters are discussed. In the models that are introduced, multilayer and recurrent networks are interconnected in novel configurations, and hence there is a real need to study them in a unified fashion. Simulation results reveal that the identification and adaptive control schemes suggested are practically feasible. Basic concepts and definitions are introduced throughout, and theoretical questions that have to be addressed are also described. >

Identification and control of dynamical systems using neural networks

Networked control systems (NCSs) are spatially distributed systems for which the communication between sensors, actuators, and controllers is supported by a shared communication network. We review several recent results on estimation, analysis, and controller synthesis for NCSs. The results surveyed address channel limitations in terms of packet-rates, sampling, network delay, and packet dropouts. The results are presented in a tutorial fashion, comparing alternative methodologies

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A Survey of Recent Results in Networked Control Systems

By a switched system, we mean a hybrid dynamical system consisting of a family of continuous-time subsystems and a rule that orchestrates the switching between them. The article surveys developments in three basic problems regarding stability and design of switched systems. These problems are: stability for arbitrary switching sequences, stability for certain useful classes of switching sequences, and construction of stabilizing switching sequences. We also provide motivation for studying these problems by discussing how they arise in connection with various questions of interest in control theory and applications.

Basic problems in stability and design of switched systems

关于Semigroups of Linear Operators and Applications to Partial Differential Equations的两个注解

During the past several years, there have been increasing research activities in the field of stability analysis and switching stabilization for switched systems. This paper aims to briefly survey recent results in this field. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After a brief review of the stability analysis under restricted switching and the multiple Lyapunov function theory, the switching stabilization problem is studied, and a variety of switching stabilization methods found in the literature are outlined. Then the switching stabilizability problem is investigated, that is under what condition it is possible to stabilize a switched system by properly designing switching control laws. Note that the switching stabilizability problem has been one of the most elusive problems in the switched systems literature. A necessary and sufficient condition for asymptotic stabilizability of switched linear systems is described here.

Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results

We utilize the second method of Lyapunov to establish sufficient conditions for the global asymptotic stability of the trivial solution of percent nonlinear, shift-invariant 2-D (two-dimensional) systems. We apply this result in the stability analysis of 2-D quarter plane state-space digital filters, which are endowed with a general class of overflow nonlinearities. Utilizing the l/sub /spl infin// vector norm and the p/sup th/ power of the l/sub p/ vector norm for 1/spl les/p >

Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities

Robust stabilizing control laws for a class of second-order switched systems

Brief Stability analysis of digital feedback control systems with time-varying sampling periods

The authors consider sampled-data control systems which consist of an interconnection of a continuous-time nonlinear plant and a digital controller which has quantizers (but is otherwise linear), along with the required interface elements (A/D and D/A converters). In the present paper the authors study the qualitative effects of the quantizers and the plant nonlinearities of these systems.

Some qualitative properties of sampled-data control systems

An important class of hybrid dynamical systems are switched systems which include multimodal systems or systems with variable structure. In the present paper we build on our earlier work on qualitative theory of discontinuous dynamical systems to establish new results for the stability and asymptotic stability of an equilibrium of such systems (defined on finite dimensional spaces). The results presented herein are less conservative than existing stability results for switched systems.

Anthony N. Michel

Papers

Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities

Robust stabilizing control laws for a class of second-order switched systems

Brief Stability analysis of digital feedback control systems with time-varying sampling periods

Some qualitative properties of sampled-data control systems

Stability analysis of switched systems