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This paper considers the problem of observer design for a class of nonlinear descriptor systems whose nonlinear terms are time-varying and satisfy a quadratic inequality. The error system is firstly represented by a Lur'e descriptor system (LDS). Then, motivated by the basic idea of absolute stability theory, both types of full-order and reduced-order observers are constructed by a unified approach...
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 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...
When designing robust controllers, H∞ synthesis is a common tool to use. The controllers that result from these algorithms are typically of very high order, which complicates implementation. However, if a constraint on the maximum order of the controller is set, that is lower than the order of the (augmented) system, the problem becomes nonconvex and it is relatively hard to solve. These problems...
This paper considered the non-fragile control problem of networked control systems with both fast-varying network-induces delay and data dropout. Using Lyapunov stability theory and the linear matrix inequality (LMI) approach, new criteria are proposed for the non-fragile controller design. The new criteria are irrelevant to the bound of the derivative of the delay, no constrain is imposed to the...
The issue of the stability of linear systems with time-varying delays is considered in this paper. The time-delay considered in this paper belongs to a given interval and its derivative also belongs to a given interval. By constructing a new type of Lyapunov functional where some triple-integral terms are contained and the information of the lower bound on the delay is considered sufficiently, new...
This paper is focused on the problem of uncertain process control by using RMPC (robust model predictive control). A relevant class of RMPC algorithms is the one characterized by the use of the LMI framework. This field started in the middle of nineties and since then several works applying LMIs in the context of RMPC have been proposed. Most of them assume a polytopic representation of the process...
In this paper we study the problem of robust discrete-time H2 filtering using a Linear Matrix Inequality approach. By assuming that the number of samples available for the identification of the system is large enough, we describe the filter design problem as a semidefinite program. Afterwards, the problem of designing an input signal for the identification of the system, to improve the performance...
This paper addresses the problem of computing the worst-case expected value of a polynomial function, over a class of admissible distributions. It is shown that this problem, for the class of distributions considered, is equivalent to a convex optimization problem for which efficient linear matrix inequality (LMI) relaxations are available. In case that the performance function is continuous (not...
This paper deals with the robust H∞ filtering problem for discrete-time linear systems with polytopic uncertainties. Differently from existing results, we assume that not only the Lyapunov functions are parameter-dependent in the whole polytope domain, but also the filter is dependent of the parameters which belong to a polytope. Our results contain no constant matrix variable for the entire polytope...
In this paper, we enhance the quality of our preceding results on periodically time-varying memory state-feedback controller (PTVMSFC) synthesis for discrete-time linear periodic/time-invariant systems. We firstly revisit PTVMSFC synthesis for certain systems and derive a necessary and sufficient LMI condition for the existence of the desired H??-PTVMSFCs. Based on these LMIs, we next consider robust...
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...
We propose an underactuated mechanical system named inverted pendulum on a cart beam system. The proposed system has three degrees-of-freedom and one control input. The mathematical model is derived using Lagrangian method and the stabilization is achieved with constraints using a linear controller designed based on linear matrix inequality approach. Simulation results are presented to validate the...
This paper deals with the chaos synchronization problem for a class of nonlinear pendulum-like systems with multiple equilibria. Based on the method of periodic Lyapunov functions, linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of both master and slave pendulum-like systems by feedback control technique. Finally, a concrete application to phase-locked...
This paper presents a new approach for coupling control problems for norm bounded continuous-time uncertain systems. Firstly, a design of the state feedback decoupling controller is presented. The nominal model could be decoupled completely and the coupling of the actual system would be reduced. Secondly, based on the linear matrix inequality (LMI), combining the guaranteed cost control law with the...
Recently, interior permanent magnet synchronous motor (IPMSM) is widely used in various applications, such as electric vehicles and compressors. It has a high requirement in wide load variations, high speed condition, stability, providing a fast response and most important thing is that it can be applied easily and efficiently. However, the control of IPMSM is more difficult than surface permanent...
This brief provides new stability criteria for a class of uncertain singular systems with multiple-state delays. By introducing the state transformation, the study of the robust stability for original systems is changed into the study of robust stability for the equivalent systems. Based on Lyapunov-Krasovskii functionals combining with LMI techniques, the robust stability problem of equivalent systems...
This paper focuses on the designing of the robust non-fragile controller based on observer for a class of non-linear uncertain time-delay systems. The uncertainties exist in the controller. Under the assumption that the uncertainty is time-varying and norm-bounded, based on linear matrix inequality, by constructing Lyapunov functions and selecting proper observer, we bring forward an approach for...
The problem of dynamic output feedback control stabilization is considered for a class of multi-time delays uncertain nonlinear systems. Based on LMI and proper Lyapunov functions, a sufficient condition for the existence of robust output feedback controller is proposed, which ensures that the closed-loop system is robust stable. The dynamic output feedback controller is designed by the feasible solution...
This paper deals with the problem of exponential stability for a class of neutral-type networks with interval time-varying delays. An approach combining the Lyapunov-Krasovskii functional with linear matrix inequality (LMI) is taken in our study. The theoretical analysis and numerical simulations show that our results are effectiveness. It is interested that there is a relationship between the exponential...
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