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Black box modeling of diffusion processes can be performed by fractional systems. The simulation of these particular systems is based on a special integrator, with limited spectral range for non integer order. Parameter estimation of this class of systems is performed by an OE identification technique. This paper presents the application of this methodology to the modeling of the dynamics of heat...
In this paper we propose classical control theory to look at the end-to-end congestion control algorithm used by the Transmission Control Protocol/Internet Protocol (TCP/IP). By using this approach we show that classical control modeling using Laplace transforms and Smith's principle give a simple and rigorous model of the role played by congestion window and advertised window variables in today's...
The new approach of robust control systems synthesis, both linear, and nonlinear and non-stationary is offered. The control is carried out, providing the given phase constrains varied in acceptable limits, in view of constrains on its value and incompleteness of the information about functioning disturbances. The approach is based on introduction of auxiliary integral surfaces, on which the initial...
This paper is concerned with the selection of optimal Laguerre bases for the orthonormal series expansion of discrete-time Volterra models. The aim is to minimize the number of functions needed to provide a given approximation accuracy, thus simplifying the modeling and control problems associated with these models. This issue was addressed by Fu and Dumont [8] focusing on linear systems, which are...
In this article we present, in a tutorial fashion, an introduction to the links between flatness, generalized PID control and sliding mode control of linear systems. Several simple illustrative examples are presented including computer simulations and experimental results.
The problem of observer design for robust residual generation in nonlinear discrete-time systems is considered. The method is proposed to solve this problem involving nonlinear time-dependent transformation of state-space system model into strict feedback form. To make this transformation practicable, algebra of time-dependent functions is developed.
This paper addresses the problem of scheduling commodities in a multi-product pipeline. It is developed an auxiliary model for the operational decision-making process. It is considered a study upon a tank farm and a pipeline connecting a refinery to a harbour. The objective is the operating cost minimisation. This cost is determined by storage tank changeovers, by seguencing of activities, by plug...
A class of complex control systems, modelled as a finite family of stochastic differential equations with state-dependent noise is considered. Each individual equation of this family describes the plant state variable in individual regime of the system composed of a set of interconnected subsystems. The transitions between these regimes are discontinuous and are modelled by a homogeneous Markov chain...
In this paper a control algorithm for the reduced port-Controlled Hamiltonian model (PCH) of the shallow water equations (PDEs) is developed. This control is developed using the Interconnection and Damping Assignment Passivity Based Control (IDA-PBC) method on the reduced PCH model without the natural dissipation. It allows to assign desired structure and energy function to the closed loop system...
This paper discusses the state feedback stabilization problem of a deterministic finite automaton (DFA), based on its state equation representation recently proposed by the authors. First, a linear state equation representation of the DFA is briefly explained. Next, after the notion of equilibrium points and stabilizability of the DFA are defined, a necessary and sufficient condition for the DFA to...
This paper proposes a method for increasing the throughput of recursive least squares (RLS) adaptive filters when only a few processing elements (PEs) are available. Throughput can be traded against the rate of convergence by varying a parameter. Because the conventional methods for improving the throughput of an RLS filter require the use of more or faster PEs, the proposed technique will expand...
The optimal pole conditions for Laguerre models are available in the literature for the || • ||2 norms (for continuous-time or discrete-time systems, with or without an impulsive input signal, and in the time or frequency domains). Recently, the author was able to extend the available results i) to other || • ||p norms, and ii) to models whose responses to known input signals satisfy, in the time...
Piezoelectric tube scanners are typically used in atomic force microscopy (AFM) to provide the scanning motion of the sample. Excitation of the weakly damped fundamental resonance of the tube scanner leads to oscillations that can cause severe image distortion. This paper presents self-sensing actuation of a piezoelectric tube scanner in order to actively damp the fundamental resonance. By electrically...
Parametric roll resonance on a ship is a condition where large roll motion develops rapidly in moderate head or following seas. The phenomenon is caused by bifurcation in the nonlinear equations of motion when a restoring moment is subject to periodic variation. This paper analyzes the stability of the nonlinear system and suggests active control of both ship speed and fin stabilizers to stabilise...
A recursive/adaptive least squares algorithm (MLRA) is proposed to solve the joint blind channel identification and blind symbol estimation problem. It is based on Deterministic Maximum Likelihood methods (DML) which are pertinent in this field. We prove that when the MLRA converges then it converges towards the global minimum. The MLRA is able to track variations of the system by the introduction...
The paper presents a method for decentralized global formation stabilization of a group of several autonomous vehicles described by the standard kinematics equation with hard constraints on the vehicles' linear and angular velocities.
In classification problems, it is preferred to attack the discrimination problem directly rather than indirectly by first estimating the class densities and by then estimating the discrimination function from the generative models through Bayes's rule. Sometimes, however, it is convenient to express the models as probabilistic models, since they are generative in nature and can handle the representation...
This paper presents a sliding mode controller for a wound rotor synchronous machine, acting as a generator for an isolated load. The standard dq-model of the machine is connected to a resistive load. A sliding surface is defined in order to fulfill control objectives, and the Ideal Sliding Dynamics is proved to be stable. From the desired surface, the standard sliding methodology is applied, and a...
An output feedback robust controller based on sliding modes and indirect adaptive control called Indirect Variable Structure Model Reference Adaptive Control (IVS-MRAC) was recently proposed for relative degree one LTI plants, suggesting to be globally asymptotically stable with superior transient behavior and disturbance rejection properties. In this paper, some remarkable simplifications are carried...
The paper considers an example of mechanical system with high relative degree: a fully actuated robot with elastic joints and the related control problem. The considered system is characterized by a uniform relative degree five, assuming as available output only the joints' angles. Two different strategies can be exploited to address this control problem. A first possibility is to use a full order...
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