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In this paper, the H2 control for discrete-time Markovian jump fuzzy system (MJFS) with partly known transition probabilities is considered. To deal with unknown transition probabilities, convex property of the normalized unknown transition probabilities and lower bound lemma for the inversion of the matrix summation are used. Then, using the properties of fuzzy weights, quadratic condition of stochastic...
This paper concentrate on the study of the synthesis of regional anti-windup compensator (RAWC) for saturated nonlinear control system, by using quadratic Lyapunov functional, an estimate region of convergence, regional modified sector condition and Lipschitz condition. Further L2 gain minimization is employed to minimize L2 gain of the decoupled nonlinear component. Based on linear matrix inequality...
This paper addresses the problem of robust control for a class of nonlinear dynamical systems in the continuous time domain. We deal with nonlinear models described by differential algebraic equations (DAEs) in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear sampling-type outputs. Main contribution of present manuscript is the...
In this paper, we study the stability, instability and (sustained) oscillatory trajectories of cooperative systems where in addition to the existence of communication and input delays, the agents may also have access to non-delayed local feedback information to themselves. Specifically, we analyze the relation between the portion of non-delayed local feedback information and the size of delay together...
A state-dependent jump linear system (SDJLS) is a particular type of stochastic switching system, where the transition rates or probabilities of the underlying random jump process depend on the state variable. In this paper, a continuous-time SDJLS subject to external disturbances with finite energy is considered. Regarding the underlying random jump process, the transition rates are assumed to have...
The problem of arbitrary references output tracking for linear systems is solved through an approximate required steady state. This estimate is obtained using a dynamic estimator based on a state observer. The state-feedback control law is proposed using this estimate and the closed-loop system is then analyzed. The simulations show the effectiveness of the proposed technique.
Stochastic stabilization of discrete-time inhomogeneous Markov jump linear system is addressed for the case of transition probability matrix considered as an interval matrix. The approach involves representing the interval transition probability matrix as a convex combination of stochastic matrices, where stochastic stabilization can be addressed using stochastic version of Lyapunov's second method...
The aim of this paper is to propose a least mean squares (LMS) strategy for adaptive estimation of signals defined over graphs. Assuming the graph signal to be band-limited, over a known bandwidth, the method enables reconstruction, with guaranteed performance in terms of mean-square error, and tracking from a limited number of observations sampled over a subset of vertices. A detailed mean square...
This paper uses a convex optimization setting to design iterative learning control laws for discrete-time systems with a static nonlinearity. The nonlinearity is assumed to be sector bounded, where such nonlinearities often arise in applications. For systems with such nonlinearities the repetitive process setting is exploited to develop a linear matrix inequality based conditions for computing the...
Discrete linear repetitive processes operate over a subset of the upper-right quadrant of the 2D plane. They arise in the modeling of physical processes and also the existing systems theory for them can be used to effect in solving control problems for other classes of systems, including iterative learning control design. This paper uses a version of the Kaiman-YakubovichPopov (KYP) Lemma to develop...
This technical note introduces a non-quadratic function that is defined in terms of multiple Laplacian quadratics, called the function of composite Laplacian quadratics. The function is mainly used for control synthesis and analysis of multi-agent systems. Some important properties of the function are studied. In particular, the one-level-set dissipation property is established, and the gradient of...
Stochastic stability results for the extended Kalman filter and some other non-linear filters have been available for some time now. In this context stochastic stability refers to mean square boundedness of the estimation error. In this article we use Fourier-Hermite series expansion to derive novel stability results for general discrete-time non-linear Kalman filters that can be interpreted as numerical...
In this paper, the problem of robust H∞ filter design for uncertain time-invariant discrete-time linear systems is addressed. The filter makes use of an arbitrary number of past output measurements. The filter stores the measurements in a buffer and is therefore of order higher than the system being filtered. The robust filtering design conditions are based on Lyapunov matrices with polynomial parameter...
This paper presents a novel approach to incorporating soft constraints into the robust MPC design in the LMI framework. As soft constraints are frequently used in industrial applications, using the proposed approach leads to improved control performance and enables implementing the robust MPC for more complex control problems. The main advantage of the strategy is preserved structure of the optimization...
The problem of stabilization of large-scale fractional order interconnected system with norm-bounded uncertainties by output feedback control is investigated. On the basis of the stability criterion of fractional order system, sufficient conditions on robust stabilization of large-scale fractional order interconnected system with a commensurate order in both cases of 0 < α < 1 and 1 < α <...
This paper presents a new method to asymptotical stabilize the one-area Load Frequency Control system via the methods of Port-Hamiltonian system and cascade system. Due to the proposed method, the structural features of Load Frequency Control system have been deeply studied, that is, it can be represented as two cascade system. The asymptotical stability of one cascade system can be assured via the...
This paper is concerned with the disturbance attenuation property of discrete-time stochastic systems with infinite Markov jump and multiplicative noises. Above all, the finite horizon H∞ performance is analyzed by means of a group of coupled difference Riccati equations, and a finite horizon bounded real lemma is obtained. Further, two versions of infinite horizon bounded real lemmas are presented...
This paper studies the well-posedness, stochastic stability and performance of the spatially interconnected discrete-time Markovian jump time-delay systems. By using the strict linear matrix inequalities (LMIs), a sufficient condition is obtained to guarantee the desired properties, which gives a theoretical foundation for the further research. In addition, the transition of the jumping parameters...
The finite-time H∞ control problem for a class of nonlinear continuous-time descriptor semi-Markov jump systems is discussed in this paper. Firstly, sufficient conditions on singular stochastic finite-time boundness for nonlinear continuous-time descriptor semi-Markov jump systems are established, then the results are extended to singular stochastic H∞ finite-time boundness for such systems. Secondly,...
This paper deals with the finite-time stability analysis and design problems for Linear Parameter Varying (LPV) systems. First, we extend the concept of the finite-time stability to LPV systems. Then, sufficient conditions for finite-time stability are presented by using Lyapunov-like functions. Moreover, based on the previous finite-time stability analysis, we explore to find the sufficient conditions...
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