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.
We consider the control of impulsive systems with independent and identically distributed intervals between jumps. The control action and output measurement are assumed to take place only at jump times. We give necessary and sufficient conditions, in the form of LMIs, for mean square stabilizability and detectability and solve an infinite horizon quadratic optimal control problem, under appropriate...
This paper proposes a novel stability analysis of linear systems with sampled-data inputs. Inspired by the input-delay approach and the stability of impulsive systems, this method provides novel sufficient stability conditions. The stability analysis concerns both constant and time-varying sampling periods. The delay-dependent conditions are expressed using computable linear matrix inequalities. Several...
This paper proposes a method to estimate the region of attraction of nonlinear polynomial systems. Based on quadratic Lyapunov functions, stability analysis conditions in a ??quasi??-LMI form are stated in a regional (local) context. An LMI-based optimization problem is then derived for computing the Lyapunov matrix maximizing the estimate of the region of attraction of the origin.
This paper presents a method of designing a modified repetitive control system (MRCS) based on a two-dimensional (2D) continuous-discrete hybrid model. First, a 2D continuous-discrete hybrid model of MRCS is established. Next, the design of the feedback controller of the MRCS is converted to the stabilization problem of the 2D hybrid system with a static-state feedback. Then, by using a 2D Lyapunov...
This paper proposes a method for frequency-weighted discrete-time linear parameter varying (LPV) model reduction with bounded rate of parameter variation, using structurally balanced truncation with a priori (non-tight) upper error bounds for each fixed parameter. For systems with both input and output weighting filters, guaranteed stability of the reduced-order model is proved as well as existence...
This paper considers interval time-varying delay systems with delayed estimation of the delay. This case is often encountered in the Networked Control Systems (NCS) field. Based on Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, a switching state feedback controller is designed to guarantee the exponential stability. The controller switches according to the measured...
We propose a compositional stability analysis framework for verifying properties of systems that are interconnections of multiple subsystems. The proposed method assembles stability certificates for the interconnected system based on the certificates for the input-output properties of the subsystems. The decomposition in the analysis is achieved by utilizing dual decomposition ideas from optimization...
In this note, we investigate exponential mean-square stability for a class of time-delay Markovian jump linear systems with state-dependant switching. By solving a set of linear matrix inequalities (LMIs), a state-feedback nonlinear controller is obtained, which guarantees globally exponential stability of such systems in the mean-square sense. Based on this, an adaptive state-feedback control law...
This paper deals with Takagi-Sugeno (T-S) systems stabilization based on a static output feedback (SOF) non-PDC control law. To investigate SOF stabilization, the closed loop dynamics is written using a descriptor redundancy formulation. This approach allows avoiding appearance of crossing terms between the controller's and the T-S system's matrices. Thus, based on a fuzzy Lyapunov candidate function...
This paper is concerned with the stochastic stabilizability problem of time-delayed Markovian jump bilinear systems with saturating actuators. Based on the reduction method, sufficient conditions are proposed to guarantee local exponential stochastic stability of the closed-loop systems with delayed feedback control. A numerical example is provided to demonstrate the effectiveness of the proposed...
Iterative Learning Control (ILC) is now well established for linear and nonlinear dynamics in terms of both the underlying theory and experimental application. This approach is specifically targeted at applications where the same operation is repeated over a finite duration with resetting between successive executions. Each execution is known as a trial and the novel principle behind ILC is to suitably...
A full-order sliding-mode state observer for a class of nonlinear continuous-time dynamic systems is proposed and conditions for the stability of the estimation error in the absence of noises are provided. If the system is affected by bounded disturbances, under such conditions the existence of an attractive invariant set for the estimation error is ensured. The design of the observer can be made...
This paper addresses the robust stability and stabilization of continuous-time linear systems with Markov jump parameters taking values in a finite set. It is shown how each of the robust analysis and synthesis problems can be expressed in terms of two alternative linear matrix inequalities, in which the scaling parameters appear as decision variables. As a by-product, new contributions to the theory...
Linear Matrix Inequalities (LMIs) provide a powerful analysis and synthesis framework for linear systems. In this paper, we use LMIs to develop positive observers for positive linear discrete-time (PLDT) systems with both parameter uncertainties and time delay. Specifically, we first present some equivalent conditions for the asymptotic stability of positive linear discrete-time delay systems, which...
This paper studies the stabilization problem for a class of networked control systems (NCSs) with communication constraints and random packet dropouts. The considered plant is equipped with multiple sensor nodes and actuator nodes. Only one of them can communicate with the controller at each transmission instant due to the communication constraints, and packet dropouts may occur at each transmission...
This paper presents a sum of squares (SOS, for brevity) approach to polynomial fuzzy observer design for polynomial fuzzy systems. First, we briefly summarize previous results with respect to a polynomial fuzzy system and controller that are more general representation of the well-known Takagi-Sugeno (T-S) fuzzy system and controller, respectively. Secondly, we propose a polynomial fuzzy observer...
This paper provides synchronization conditions for networks of nonlinear systems, where each component of the network itself consists of subsystems represented as operators in the extended L2 space. The synchronization conditions are provided by combining the input-output properties of the subsystems with information about the structure of network. The work is motivated by cellular networks where...
The symmetric control systems have some interesting properties. This paper studies a class of symmetric system consists of a collocated second-order plant and a static output feedback controller. For the system, it is known that the internal stability and the robustness of the closed-loop system are guaranteed based only on the non-parametric structure condition. Our objective is to propose an optimal...
In this paper a 2D systems setting is used to develop new results on iterative learning control for linear plants in the case when there are multiple reference signals. The algorithms for control law design are developed using a strong form of stability for discrete linear repetitive processes known as stability along the pass. The resulting design computations are in terms of linear matrix inequalities...
This paper is concerned with the stabilization problem of networked control systems where the main focus are the packet-loss, time delays and unmeasured system states. Here a state observer is designed for estimating the states and compensating for time delay and data dropout, then the whole closed system is modeled as asynchronous dynamical system constrained by configuration event rate. By using...
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.