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The prevention of windup due to a saturation of the input signal can be regarded as a solved problem. The results concerning the prevention of windup in the presence of output constraints are not so numerous and they only solve special aspects. Lately a new solution to the prevention of windup in the presence of output saturation has been presented. It uses a two degrees of freedom control structure...
In this paper, the problem of linearization of discrete-time nonlinear control systems by dynamic state feedback is considered. Two different methods for finding certain polynomial matrix are compared. This polynomial matrix is necessary to compute linearizing (or flat) outputs of the system. Finally, a necessary and sufficient condition to check unimodularity of certain polynomial matrices, is given.
The paper deals with the problem of constrained H∞ fuzzy control for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. On the basis of the Lyapunov stability criterion and H∞ norm performances, the sufficient conditions of stabilization are outlined and adjusted for systems operating in a forced mode. Numerical simulation is given to illustrate the design procedure...
The paper presents recently introduced algorithm for PID controller tuning using pole assignment technique and piecewise-linear neural network. After the technique introduction, there is performed control simulation which proves, that this technique can be used to control of oscillative nonlinear systems.
This article describes a Projection Equivalent Method (PEM) as a new approach for modeling of aircraft. PEM is a method [20] by which it is possible to obtain a mathematical model of the aerodynamic forces and moments acting on the flying machine during flight. For PEM, it is characteristic that in principle it provides an acceptable regression model of aerodynamic forces and moments, which possesses...
This paper describes a possible way to build a simulation model of the most important part of a power plant - the turbine with reheating section. The turbine is a key part of the power plant that allows the conversion of the heat energy to electricity via mechanical energy. The paper describes the usual construction of the steam reheater and the turbine connection. The mathematical analysis for all...
The paper presents a novel concept of the anisotropy-based analysis for the stochastic sequences with nonzero mean. The formulas for the anisotropy of random vector and mean anisotropy of sequence are obtained. Basic types of shaping filter connections are presented.
The paper presents a possibility of application a hybrid algorithm compound of a global algorithm Interpolated Ant Colony Optimization and local Directional Derivatives Simplex (IACO-DDS) to identification of the time delays in the linear plant. The Interpolated Ant Colony Optimization algorithm (IACO) can be used to continuous problems. The Derivatives Simplex belongs to the class of a modified Nelder...
We consider a circular track and a platoon of vehicles driving on it. Our goal is to design a distributed (onboard) control system that will keep uniform spacing between any car and its predecessor without knowing the length of the track. Quite naturally the distributed control problem is posed as a double consensus task, wherein individual cars have to agree on the cruising velocity and the gaps...
We present an application of the well-known frequency-domain modulus optimum criterion for obtaining settings of PID controller for the first order systems with dead time. The settings are obtained analytically for any value of the dead time parameter. Although the method usually gives very favourable closed-loop behaviour, in the case of large dead time the stability margin gets reduced and even...
For linear discrete-time descriptor systems bounded real lemma in terms of anisotropic norm was formulated and proved. This lemma connects boundedness of anisotropic norm by a given nonnegative parameter with existence of solution of specified generalized Riccati equation. Numerical example is given.
Industrial induction heating represents the environmentally clean, contactless method of steel heating. Same time it has high energy consumption, so in recent years, more efficient modular topology of heaters were introduced. Due to its multiple power modules, there is a possibility to apply the distributed parameter system control theory. By the usage of COMSOL Multiphysics solution, the model in...
The paper addresses the problem of constrained pole placement control for discrete-time linear systems. Sufficient conditions for feasibility are outlined in terms of linear matrix inequalities for a D-stable circular region in the complex ś plain. In addition, in the case of state-space control, it is proven that by this way formulated pole placement problem is equivalently uttered using an quadratic...
Modeling, simulation and investigation of Active Magnetic Levitation Systems (AMLS) is the aim of this article. We designed the effective control law for the stable operation in the levitation mode because these devices are essentially unstable in nature. The stabilizing controller has to generate the appropriate value of electromagnetic force to levitate an object. It is very important to choose...
The paper deals with identification of electromechanical systems with oscillatory dynamics. Swept sine signal is chosen for excitation of the system and time-varying observer is used for estimation of its frequency response. Practical implementation issues for various mechanical configurations typical for industrial applications are analyzed and concept of frequency-separated semi-closed loop identification...
Type 1 Diabetes Mellitus (T1DM) subject model is presented in this paper. The model consists of two parts. A glucose and insulin plasma kinetics is inferred from a minimal model of glucose kinetics commonly used to analyze the results of an intravenous glucose tolerance test (IVGTT). A subcutaneous insulin and a subcutaneous glucose kinetics are modeled as a time-delay. A meal announcement information...
The paper is devoted to the problem of fault detection in analog electrical circuits described by linear or nonlinear polynomial models. So-called data-driven method for fault detection is considered. This method assumes that parameters of the circuit under consideration may be unknown. It does not use methods of identification and allows checking whether or not parameters of some elements deviate...
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