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Recently the control of hybrid system has attracted many research efforts. However, few studies have been made on hybrid systems with unknown parameters. In this paper, adaptive controller design is explored for a class of hybrid systems called piecewise linear systems, based on the concept of the polynomial constraints which can decouple the model parameters from the inference of the discrete state...
This article discusses the Lyapunov-Krasovskii functional method for the stability problem of coupled differential-functional equations with distributed delays and one discrete delay. However, systems with distributed delays and multiple commensurate discrete delays can be easily transformed to the standard form treated in this article. This standard form represents a very general class of time-delay...
The paper discusses the H∞ preview control problem. We apply simple tools such as completion of square to solve the problem. The sufficient and necessary condition under which the finite-horizon problem is solvable is provided and is actually the inertia condition reflecting the aftereffect from the disturbance. Different from existing results, the proposed controller is given by a Riccati equation...
This paper discusses the distributed connected coverage problem for a group of mobile agents in 3-dimensional space and with limited-range interactions. A self-deployment algorithm is proposed, which spreads out the agent group while preserving some special core structures of the time-variant communication topologies. It should be pointed out that the core structure keeps the connectivity of the communication...
In this paper, we present a robust recursive filtering algorithm for discrete time-varying systems with sensor failures and uncertain parameters in their state space models. The exiting results are generalized to the case where each sensor may fail at any sample time independently of the others. For robust performance, stochastic parameter uncertainties are included in the system matrix. The design...
Uncertainty almost exists in the measurements of sensors because of the influence of environment and communication. The uncertainties can be reflected in the loss of measurement data and in the unknown disturbance added on the sensor measurements. In this paper, a linear unbiased minimum variance state filter is designed for discrete-time linear stochastic systems with data loss and unknown disturbance,...
This paper is concerned with the robust Hinfin filtering problem for a class of uncertain nonlinear networked systems with both multiple stochastic time-varying communication delays and multiple packet dropouts. The discrete-time system under consideration is also subject to parameter uncertainties, state-dependent stochastic disturbances and sector-bounded nonlinearities. Sufficient conditions are...
The Hinfin control problem is studied in this paper for networked control systems (NCSs) with short time-varying delays. By considering state feedback controllers, the closed-loop NCS is described as a discrete-time linear uncertain system model, and the uncertain part reflects the effect of the variation nature of the network-induced delays on the system dynamics. Then, a sufficient condition is...
This paper studies the Hinfin filtering problem for a class of discrete-time network-based systems with communication constraints and packet dropouts. The plant has multiple sensor nodes and only one of them is allowed to communicate with the filter at each transmission instant, and the packet dropouts occur randomly. The filtering error system is modeled as a switched system with a stochastic parameter...
In this paper, we deal with the problem of quantized control strategy design for a class of discrete time Markovian jump linear systems with limited communication capacity. We generalize the static Quantizer design method of Elia and Mitter to stochastic system with Markovian jump parameter. The concept of mode-dependent logarithmic quantizer is presented firstly in this paper, which is employed to...
The problem of joint input and state estimation is addressed in this paper for linear discrete-time stochastic systems without direct feedthrough from unknown inputs to outputs. With the weighted least squares estimation for an extended state vector including unknown inputs and states, a recursive filter approach referred to as Kalman filter with unknown inputs without direct feedthrough (KF-UI-WDF)...
In practical applications, it is often encountered that the jump modes of a Markovian jump linear system may not be fully accessible to the filter, and thus designing a filter which partially or totally independent of the jump modes becomes significant. In this paper, by virtue of a new stability and Hinfin performance characterization, a novel necessary and sufficient condition for the existence...
This paper is concerned with consensus control of undirected networks of discrete time first order agents under quantized communication. A distributed protocol is proposed based on dynamic encoding and decoding with finite level uniform quantizers. It is shown that under the protocol designed, for a connected network, average-consensus can be achieved with an exponential convergence rate based on...
This paper studies the tracking performance of linear time-invariant (LTI) single-input single-output (SISO) discrete-time networked feedback systems. We take the system's reference input as a step signal, and assume that the controller output is first quantized and next transmitted over a communication network to the plant, whereas the quantization error is modeled as a white noise. We are interested...
A model reduction method to match the coefficient of the transfer function G(s) of descriptor system is presented to obtain reduced order descriptor system. By projecting G(s) to the transfer function of discrete time system, the model reduction problem for the descriptor system is transformed to Markov parameters matching model reduction problem of the corresponding discrete time normal systems....
In this paper we develop a general discrete-time adaptive control approach suitable for nonlinear systems with periodic parametric uncertainties. The underlying idea of the new approach is to convert the periodic parameters into an augmented constant parametric vector by a lifting technique. As such, the well-established discrete-time adaptive control schemes can be easily applied to various control...
This paper discusses robust stability and stabilization of uncertain discrete-time fuzzy systems that have time-varying delay in state. There have been only a few results on stability and stabilization for discrete-time fuzzy time-delay systems. Especially, few results on robust stability and stabilization for a class of uncertain discrete-time fuzzy time-delay systems have appeared in the literature...
A nonlinear multivariable adaptive decoupling PID control strategy based on multiple models and neural network is proposed for a class of uncertain discrete time nonlinear dynamical systems. The adaptive decoupling PID controller is composed of a linear adaptive PID decoupling controller, a neural network nonlinear adaptive PID decoupling controller and a switch mechanism. The PID parameters of such...
In this paper, stabilization problem of parametric strict feedback class of discrete time chaotic systems is addressed. The methodology followed here utilizes recursive procedure based on contraction framework and explicit structure of controller is derived for a class of nonlinear discrete time systems. Recursive design of controller using Lyapunov based analysis are well established but contraction...
This paper discusses the synthesis problem for a class of discrete time complex-valued Hopfield neural network. To be an associative memory, each memory pattern of the network should be stable and attractive. For this reason, this paper firstly analysis the stability of network, where a generalized Hamming distance defined in complex-valued domain is used to be Lyapunov function. Thus a stable criterion...
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