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Recently the control of hybrid system has attracted many research efforts. However, few studies have been made on hybrid systems with unknown parameters. In this paper, adaptive controller design is explored for a class of hybrid systems called piecewise linear systems, based on the concept of the polynomial constraints which can decouple the model parameters from the inference of the discrete state...
In this paper, we present a robust recursive filtering algorithm for discrete time-varying systems with sensor failures and uncertain parameters in their state space models. The exiting results are generalized to the case where each sensor may fail at any sample time independently of the others. For robust performance, stochastic parameter uncertainties are included in the system matrix. The design...
This paper investigates the stability of switched linear systems with the perturbed switching. In premises of introducing the notions of common child-path and parent-path, we define distance between switching paths. A constructive procedure is proposed for finding common child-paths, then we reveal a relationship between common child-path and parent-path, and subsequently formulate the distance. Finally,...
The robust sliding mode control for Markov jump systems with parameter uncertainties and an unknown nonlinear function is discussed. Based on a descriptor system approach and linear matrix inequality (LMI), a sufficient condition which guarantees the existence of linear switching surface and the stochastic stability of sliding mode dynamics is given. A sliding mode controller is designed such that...
In this work, we focus on the stability analysis of normal switching systems with bounded disturbance. Using the Lyapunov function, the bound of disturbance is given. This paper mainly study the analysis of normal switching systems with disturbance, When the disturbance in the system satisfies some conditions, the trajectory of switching system is asymptotic stability under arbitrary switch. We also...
This paper studies the guaranteed cost control for a class of uncertain switched singular systems based on the guaranteed cost control theories and other related theories about switched systems. Firstly by using the common Lyapunov functions method, a sufficient condition on the existence of state feedback guaranteed cost controller is derived under arbitrary switching laws. Secondly a sufficient...
In this paper, the problem of Hinfin control for a class of Markov jump linear system (MJLS) with timevarying transition rates (TRs) is investigated. The time-varying character of TRs is considered as finite piecewise homogeneous and the variations of TR matrices in the finite set are considered as two types: arbitrary variation and stochastic variation. The latter means that the variations are subject...
This paper is concerned with the robust Hinfin filtering problem for a class of uncertain nonlinear networked systems with both multiple stochastic time-varying communication delays and multiple packet dropouts. The discrete-time system under consideration is also subject to parameter uncertainties, state-dependent stochastic disturbances and sector-bounded nonlinearities. Sufficient conditions are...
The Hinfin control problem is studied in this paper for networked control systems (NCSs) with short time-varying delays. By considering state feedback controllers, the closed-loop NCS is described as a discrete-time linear uncertain system model, and the uncertain part reflects the effect of the variation nature of the network-induced delays on the system dynamics. Then, a sufficient condition is...
This paper presents a new switching adaptive control strategy for a class of uncertain linear time-varying systems. Small-gain theorem is used for stability of the system without uncertainties. The uncertainties in the system are considered on discrete sets. The switching logic is designed based on the relationship between passivity and the adaptive systems, such that in the process of switching control,...
This paper is concerned with the estimation of the domain of attraction for a class of linear continuous-time systems subject to both interval time-varying delay and actuator saturation. A new type of delay-range-dependent condition is firstly proposed using the free-weighting matrix technique to derive a tighter upper bound on the derivative of a Lyapunov-Krasovskii functional. Based on it, a state...
In this paper, we maximize the allowable delay bounds that guarantee the stability of Takagi-Sugeno (T-S) fuzzy systems with time-varying delays, by adopting fuzzy weighting-dependent variables for the system dynamics elimination and the integral inequality lemma. The resulting quadratic Parameterized Linear Matrix Inequalities (PLMIs) are further relaxed by introducing some free variables to exploit...
We propose a globally convergent observer for three-state nonlinear systems verifying the uniform complete observability condition. By constructing a time-varying differentiator, we are then able to reproduce the first and the second derivatives of the system output without imposing the boundedness of the states or the output. By exploiting the algebraic observability of the system, we show that the...
This paper is concerned with robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and the derivative of the time-varying delay is upper bounded but otherwise arbitrary. The uncertainties under consideration include polytopic-type uncertainty and linear fractional norm-bounded uncertainty. In order to obtain much less...
In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems...
In this paper, a hybrid control strategy, variable universe adaptive fuzzy sliding mode control, is proposed to realize the chaos synchronization of two gap junction coupled FitzHugh-Nagumo (FHN) neurons under external electrical stimulation. According to the Lyapunov stability theory, the stability of the closed error system is guaranteed. The control scheme is robust to the uncertainties such as...
Hinfin filter design for systems with time-varying interval delay is investigated in this paper. Improved delay dependent Hinfin performance condition is presented by using the free-weighting matrix approach and considering the relationship among the time-varying delay, its upper bound and their difference. As a result, a modified cone complementary linearisation (CCL) algorithm with a new stopping...
In this paper, we deal with the problem of delay-range-dependent robust Hinfin filtering for uncertain linear systems with time-varying delays in a range, which are subject to norm-bounded parameter uncertainties. Both the state dynamics and measurement of the system are with time-varying delays belonging to a given range. The aim of this problem is to design a full-order linear filter, such that...
In this paper, interconnected iterative learning control loops are used to drive the output of general multi-input-multi-output nonlinear systems with general input uncertainties to the desired output. New convergence conditions are obtained to ensure the convergence of the overall system. A simulation example shows the effectiveness of the proposed method.
Nowadays congestion control problem of the intermediate nodes in the Internet has received extensively attention in networking and control community. In this paper, a novel adaptive PID (Proportional-Integral-Differential) controller based on neural networks for the problem of AQM with ECN marks is presented. Considering a previously developed nonlinear dynamic model of TCP/AQM system and the queue...
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