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A class of large-scale systems with decentralized information structures such as multi-agent systems can be represented by a linear system with a generalized frequency variable. In this paper, we investigate stability of such systems, which is the most fundamental property from the view point of control. Specifically, we first present a systematic way of deriving a Hurwitz type stability criterion...
This paper is concerned with the estimation of the domain of attraction for a class of linear continuous-time systems subject to both interval time-varying delay and actuator saturation. A new type of delay-range-dependent condition is firstly proposed using the free-weighting matrix technique to derive a tighter upper bound on the derivative of a Lyapunov-Krasovskii functional. Based on it, a state...
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...
This paper investigates the tracking performance of continuous-time, multi-input multi-output, linear time-invariant systems in which the output feedback is subject to an additive white Gaussian noise corruption. The problem under consideration amounts to determining the minimal error in tracking a Brownian motion random process, which emulates a step reference signal in the deterministic setting...
This paper studies the best achievable tracking performance of multiple-input multiple-output (MIMO), finite dimensional, linear and time-invariant (FDLTI) system over a additive white noise (AWN) channel in the feedback path. The plant under consideration is assumed to be minimum phase but unstable. The reference input is a vector valued wide-sense stationary (WSS) random process. The power of the...
In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems...
This paper investigates the problem of delay dependent robust stability analysis and Hinfin filtering design for a class of uncertain continuous-time nonlinear systems with time-varying state delay represented by T-S fuzzy models. Based on a newly developed Lyapunov-Krasovskii functional combined with an improved free-weighting matrix technique, a new sufficient condition for robust stability analysis...
In this paper, the problems of passivity analysis and passive control of continuous-time Takagi-Sugeno (T-S) fuzzy time-varying delayed systems are studied. The analysis is based on the concept of very-strict passivity which is shown to be restrictive than the usual passivity. Novel techniques are applied to derive delay-dependent conditions for the solvability of the problem of designing a state-feedback...
Networked control system (NCS) is a newly emerging topic within control theory community. In this paper we pay particular attention to the problem concerning data rate constraint. Motivated by many successful results in related research, we study the lowest data rate needed to stabilize an LTI system when the controller structure is limited to be a static state feedback and the channel is modeled...
This paper presents an application of the continuous-time deadbeat control, which is proposed recently based on the finite pole assignment for linear systems with time delay. The control object used here is a carriage, which is build with LEGO MINDSTORMS NXT as a model of crane for LCD manufacturing line. The implementation includes modeling, design, and implementation for a cheap microprocessor for...
In order to give an information theoretic interpretation to Bode integral of continuous time linear systems, the epsilon-entropy rate is adopted to measure time average uncertainty of continuous time stationary processes. The variety of system sensitivity function defined as the difference between epsilon-entropy rates of disturbance input and system output formulates how does the uncertainty of disturbance...
The physical parameters of controlled systems are uncertain and are accompanied by nonlinearity. The transfer function and the characteristic polynomial should, therefore, be expressed by interval (polytopic) polynomials, regardless of whether the input-output signals are continuous or discrete in time. This paper evaluates the robust stability of discrete-time control systems based on the existing...
Parametric optimization techniques is an established practice for designing controllers. It was used, for example, to obtain the parameters of PI and PID controllers in several works. An important criticism to this technique is the dependence of the design from a parametric model of the plant, which have to be very accurate. In the current work, the problem of designing a continuous-time PID controller...
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