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This paper is concerned with the problems of H∞ static output feedback (SOF) control synthesis for discrete-time systems. New linear matrix inequality (LMI) characterizations are derived, which enable one SOF controller by using parameter-dependent Lyapunov function. The relationship between the proposed methods include and the existing ones are clarified, which shows that our new results include...
In this paper, the problem of designing a robust L2 - Linfin filter for networked control systems is investigated. A model is considered that take into account the network-induced delay and data dropout. Aim at the systems' uncertainty, the uncertainty correlated with the states of plant is joined. Through the approach of Lyapunov-Krasovskii, the performance of L2 - Linfin is transformed to a set...
A Kind of networked control system with packet dropout is modeled as asynchronous dynamical systems, and the integrity design of the networked control system with actuators failures is analyzed using hybrid systems technique based on fault-tolerant control theory. Parametric expression of controller is given based on feasible solution of linear matrix inequality. After detailed theoretical analysis,...
Packet dropout is one of the key issues which degrade performances of Internet-based Control System(ICS). An integrated strategy composed of active part and passive part to solve this problem is proposed in this paper. In the active part, the priority of control packets in ICS can be improved through differentiated services which decrease probability of control packet dropout. While in the passive...
This paper deals with the problem of state feedback H2/Hinfin control for fast sample singularly perturbed systems. In terms of fast sampling model, a necessary and sufficient condition for the solution to this problem is obtained, and suitable state feedback control law and upper bound of parameter epsiv are also given by linear matrix inequality method. The proposed results can be applied to slow...
This paper proposes an off-line procedure which enables the robustification of an initial stabilizing controller for multivariable systems using the convex optimization of a Youla parameter. This robustification must provide stability robustness towards unstructured uncertainties for the nominal system, while guaranteeing stability properties over a specified polytopic domain of uncertainties. Solving...
Reformulated principle for designing a fault residual filter for continuous-time linear MIMO system, based on computational mathematics methods, is treated in this paper. The problem addressed can be indicated as an approach given sufficient conditions for stable residual filter design based on Lyapunov function. Two linear matrix inequalities are outlined to posses stable residual filter structure...
This paper is concerned with the design problem of network-based controller for systems with both the network-induced delays and data packet dropouts. A new Lyapunov-Krasovskii functional candidate is proposed to drive a new stabilization criterion. The sufficient condition on the existence of the controller is obtained in terms of a matrix inequality. And a feasible solution of the proposed matrix...
This paper presents a stochastic control method for networked control systems (NCSs) with time-varying sampling periods and random delay. The random delay of the NCS is modelled as intervals governed by a Markov chain. With the switching of the sampling periods, a discrete-time Markovian jump system with parameter uncertainties is presented to model the NCS. By introducing a delay-compensating control...
In this paper, we propose an output feedback variable structure control for discrete-time systems with uncertainties and time-delay. The output feedback control doesnpsilat need full observability. An asymptotically stable sliding surface is designed by means of linear matrix inequality (LMI). The sliding surface can compensate for the effect of mismatched parameter uncertainties in system state....
This paper addresses positive observer design problem for discrete-time positive systems with multi-delays. Both the positive observer and the positive systems share the nonnegativity of their states. The observer is of Luenberguer-type, which is an extension of the classical linear observer. A set of equivalent necessary and sufficient conditions is proposed for the existence of the Luenberguer-type...
This paper concerns the reliable guaranteed cost control problem of nonlinear systems with time-varying state delays and actuator failures for a given quadratic cost function. The problem is to design a delay-dependent reliable guaranteed cost state feedback control law which can tolerate actuator failures, such that the closed-loop cost function value is not more than a specified upper bound. Based...
This paper presents a preliminary result for the problem of robust Hinfin control for linear uncertain switched systems with time-varying delay. Based on multi-Lyapunov function method and linear matrix inequality method, a sufficient condition for switched systems with robust stability and Hinfin criteria gamma using a state-based switching law is proposed.
In this paper, we consider the problems of robust stability and stabilization by static state feedback of discrete time-delay systems under non-linear perturbations. The delay in the system state may be time-varying. Firstly, by making use of some techniques, delay-dependent robust stability of the system is presented. Then, a sufficient condition on the existence of the state feedback controller...
A discrete time fault tolerant control system (DTFTCS) with static output feedback controller is developed. The proposed model consider the case of DTFTCS with limited accessibility for system states. The stochastic behavior of the proposed DTFTCS is to be investigated for the case of actuating signal being feedback over noisy channels. Second moment stability is defined, and necessary and sufficient...
In this paper, an optimization method of low order multivariable controllers for Hinfin control is proposed. Starting from a low order stabilizing controller, our proposed method gives a sequence of controllers for which the Hinfin norm performance index is monotonically non-increasing where the tuning parameters are the coefficient matrices C and D of the low order controller with the matrices A...
The delay-dependent H∞ control for switched systems with time-delay is discussed in this paper. Based on linear matrix inequalities (LMI), a new delay-dependent condition is then derived by employing Lyapunov-Razumikhin functional method, which can ensure that the switched system is asymptotically stable with a prescribed Hinfin performance. Moreover, a switching state feedback strategy is proposed...
A linear matrix inequality (LMI) approach to robust stability for a class of general Lurie indirect type control systems with time delay and norm-bounded parameter uncertainty is developed. Based on Lyapunov stability theory, some new delay-dependent robust absolute stability criteria are derived by introducing some free-weighting matrices. Numerical example is presented to illustrate the effectiveness...
Robust Hinfin controller design is considered for uncertain Delta operator systems. Based on the bounded real lemma of Delta operator systems, the existence conditions of robust Hinfin controllers are presented in the form of a linear matrix inequality (LMI). The robust controller is then designed via solving the given inequality. Thus, with the aid of Matlab LMI Toolbox, the design procedure can...
According to the unknown control direction strict feedback nonlinear systems, this paper introduced a design process for time-varying nonlinear adaptive controller by introducing the Nussbaum increasing and the dead area revision algorithm. Its stability is proved and analyzed, and its simulation is designed with the LMI MATLAB toolbox, the result shows that the controller has a good performance.
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