The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
In this paper the control problem of a nonlinear chemical reactor using a free offset state feedback controller using linear matrix inequalities (LMI) is presented. The performance of the control system is verified throughout the operating range by numerical simulations. A performance comparison between the control system with a controller adjusted based on a nominal model and other with a robust...
Methods from machine learning have successfully been used to improve the performance of control systems in cases when accurate models of the system or the environment are not available. These methods require the use of data generated from physical trials. Transfer Learning (TL) allows for this data to come from a different, similar system. This paper studies a simplified TL scenario with the goal...
We study feedback stabilization of a Bernoulli jump nonlinear system. First, the relationship between stochastic passivity and stochastic stability is established. A state feedback controller that stabilizes a wide class of Bernoulli jump nonlinear systems is then designed using passivity-based tools. The advantage of our approach is that the nonlinear dynamics can be non-affine in the control input.
In this paper a concept of application of polynomial matrix σ-inverse in multivariable state-space perfect control is presented. The new inverse is derived from perfect control of systems described by the input-output approach. Rather surprisingly, the σ-inverse clearly outperforms some other inverses of nonsquare parameter matrices, including the classical minimumnorm right one. A minimum-energy...
Sufficient conditions are presented for a system with input delays having finite ℒ2-gain. The bounded real lemma conditions are infeasible when the actual and the delayed values of the input act on the system simultaneously. Considering the actual and delayed inputs as two independent inputs is shown to lead to very high upper-bound of the true ℒ2-gain. Several approaches are presented involving a...
This report is concerned with discrete-time systems that are derived for continuous-time LTI systems by the pulse-width-modulation (PWM) -hold. The input term of the difference equation describing the discrete-time system is a nonlinear map of the control parameter of the PWM signal, i.e., duty ratio. It is shown that for two-dimensional systems, the nonlinearity of the PWM-hold systems can be exactly...
The first step toward development a “nonsmooth” version of Speed-Gradient (SG) method is made. As a basis for formal approach the Hadamard subdifferential and set-valued analysis are chosen. Nonsmooth versions of SG-algorithm in differential and finite form are formulated. Conditions for the control goal achievement are proposed. The results are illustrated by an example of asymptotic minimization...
Here we use polynomial chaos framework to design controllers for linear parameter varying (LPV) dynamical systems. We assume the scheduling variable to be random and use polynomial chaos approach to synthesize the controller for the resulting linear stochastic dynamical system. The stability of the LPV system is formulated as an exponential mean-square (EMS) stability problem. Two algorithms are presented...
In this paper we present a robust self-triggered model predictive control (MPC) scheme for discrete-time linear time-invariant systems subject to input and state constraints and additive disturbances. In self-triggered model predictive control, at every sampling instant an optimization problem based on the current state of the system is solved in order to determine the input applied to the system...
This paper extends some recent results about linear quadratic control (LQC) using linear matrix inequalities (LMIs) to linear parameter varying (LPV) systems. At first, static specifications, where the weighting matrices are constant, are considered. Later, the concept of shifting linear quadratic control (SLQC), where some varying parameters are introduced and used to schedule not only the controller,...
In this paper we propose a tube-based robust model predictive control scheme for fractional-order discretetime systems of the Grünwald-Letnikov type with state and input constraints. We first approximate the infinite-dimensional fractional-order system by a finite-dimensional linear system and we show that the actual dynamics can be approximated arbitrarily tight. We use the approximate dynamics to...
This paper considers reduced-order dynamic quantizer synthesis for discrete-valued input systems. Our approach is based on the ellipsoidal invariant set analysis and the slack variable approach of linear matrix inequality. We consider the tractable numerical design, which covers the full-order design result of the current authors. In the numerical examples, the effectiveness of the slack variable...
The problem of simultaneously squaring down and cancelling a specified part of the zeros of a completely general linear system by an invertible transformation is investigated from different standpoints. Various classes of solutions featuring minimal McMillan degree, unitary or J -- inner symmetry, either with respect to the imaginary axis or the unit circle are characterized in a realisation -- based...
A particular Mobius transformation mapping a completely general discrete-time algebraic dynamical system into a standard (proper) continuous-time one is introduced and studied. The freedom in choosing ab ante the exclusion point (in which the transformation is not defined) different from any point of interest makes this transformation a powerful universal tool for solving virtually any optimal/robust...
In this research, we study on improving the ride comfort of vehicle for semi-active suspension model with MR damper including its hysteresis behavior which causes complexity for calculating process. There are two main objectives that are concerned in this research. One is that the controller must be able to have fast response and guarantee robustness. The latter is that the control scheme must be...
Extentions of the RGA (relative gain array) technique to nonlinear systems are considered. The steady-state properties are given by an array of nonlinear functions. The high frequency properties are characterized by forming the conventional RGA of the decoupling matrix.
This paper presents a solution to the sampled-data H2 control problem where the sampling function, the discrete-time controller and the hold function are all available for design. In contrast to previous works, the generalized sampling and hold functions are constrained to have piece-wise impulse and piecewise constant waveforms, respectively. The resulting sampling and hold devices improve the control...
We suggest an approximation method for nonlinear dynamical systems known as multi regional state space systems. This attempt can be regarded as a Sugeno-Takagi fuzzy modeling. A design procedure for a state space controller of the local state space systems is proposed and a sufficient condition for the stability of the multi regional state space system is given. The method is applied to a chemical...
We introduce non-autonomous well-posed and (absolutely) regular linear systems as quadrupels consisting of an evolution family and output, input and input-output maps subject to natural hypotheses. In the spirit of G. Weiss' work these maps are represented in terms of admissible observation and control operators (the latter in an approximative sense) in the time domain. In this setting the closed-loop...
The paper addresses tracking of a piecewise constant reference for a nonlinear system subject to control and/or state constraints. The proposed controller, called dual-mode, extends to the nonlinear case an approach formerly introduced for linear systems. The dual-mode controller is based on the knowledge of the set of feasible state-setpoint pairs and operates in two different modes: as a regulator...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.