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The reduced order H∞ observer design problem for one-sided Lipschitz nonlinear continuous-time singular Markov jump systems is discussed in this paper. With the assumptions that the nonlinear term satisfies the one-sided Lipschitz condition and the quadratic inner-bounded condition, a sufficient condition is given to guarantee both the stochastic stability and a prescribed H∞ performance of the error...
Positive observer design of interval switched positive systems is considered in this paper. The multiple quadratic co-positive Lyapunov functions technique and the method of augmented systems are adopted. The sufficient conditions of insuring stabilization of augmented systems are obtained under the state-dependent and time-dependent switching law, respectively. In the end, a numerical example is...
This paper deals with the issues of both robust state estimation and actuator fault detection for a class of uncertain switched linear systems under average dwell time (ADT). A robust switched observer is proposed to estimate the states of switched system even if it is subject to simultaneous disturbance inputs and actuator faults, where the disturbance inputs are decoupled and the actuator faults...
Switched nonlinear systems are control systems that involve both continuous and discrete dynamics. In this paper, we consider the problem of global stabilization of switched nonlinear systems under arbitrary switchings. A nonconventional method of immersion and invariance (I&I) which does not require the Lyapunov function of the plant is extended to stabilization of general switched nonlinear...
This paper is concerned with the stability and stabilization analysis for another usual class of Markov jump linear systems(MJLSs). In this paper, some of the system's regimes are difficult or unable to classify accurately, and this problem can be solved via recombined the probability space of the system. As a result, the necessary and sufficient conditions for stochastic stability of the system are...
This paper investigates the stability and stabilization for switched systems with all modes unstable. Firstly, a class of periodic switching signal is proposed to ensure that the considered system is global asymptotical stability (GAS) on continuous-time interval. The quadratic Lyapunov function is permitted to increase on the part of a complete switching period. Secondly, the state feedback controllers...
This paper is concerned with the issue of feedback passification for switched fuzzy systems through the multiple Lyapunov functions method. Since the system state is often unavailable, we design observers and observer-based controllers for each fuzzy subsystem of such a switched fuzzy system. A switching law depending on the observer state is designed which, together with the control law can render...
This paper investigates the stabilizability of linear impulsive systems. The fact that some linear impulsive systems may be asymptotically stabilizable even though they are not stable under any consistent impulsive law is indicated by a numerical example. A sufficient condition for the asymptotical stabilizability of linear impulsive systems is presented and then the state-dependent impulsive law...
An intermittent control scheme is presented for consensus of the multi-agent system, in term of the pulse function, which is introduce to describe the constraints of the actuator. The proposed scheme is a general framework covering the impulsive control, and (zero-order hold) sampled control by choosing special functions as the pulse function. By using graph theory and the property of stochastic matrices,...
In this paper, we have proposed a sliding mode control law with gain-scheduled and improved boundary layer for leader-follower based formation control. The switching gains of sliding mode controller are required to change with the absolute value of sliding mode function. Specifically, a larger switching gain should be adopted in order to ensure rapid convergence, while a smaller one should be adopted...
In the present work, the H∞ output tracking problem for a class of cascade switched nonlinear systems was studied under asynchronous switching. Sufficient conditions of the solvability of the asynchronous output tracking problem are developed using average dwell time method. The controllers are designed to achieve the tracking performances. At last, a simulation example was performed to validate our...
This paper investigates finite-time stability (FTS) for discrete-time switched delay systems with nonlinear disturbances, where the disturbances may have stronger nonlinearities. Based on novel inequality technique and average dwell time approach, several new stability criteria are obtained which guarantee that the state trajectory does not exceed a certain threshold over a pre-specified finite-time...
This paper considers the L2 gain analysis problem for switched linear parameter-varying (LPV) systems in the presence of actuator saturation. The multiple parameter-dependent Lyapunov functions approach is used to design a state feedback law and parameter mode-dependent switching law without requiring the stability of each subsystem. A sufficient condition is obtained by a matrix optimization to guarantee...
In this paper, finite-time stability (FTS) and finite-time boundedness (FTB) are investigated for a class of switched linear systems with large delay period and input disturbances. The limitation of the frequent and length of large delay period (LDP) are used to guarantee the properties of the FTS and FTB. By constructing a piecewise Lyapunov functional with large delay integral terms, the sufficient...
In this paper, we will investigate the finite-time stability and finite-time stabilization of stochastic nonlinear (SNL) systems with Markovian switching. Firstly, some proper criteria on finite-time globally asymptotically stable in probability (FGSP) are provided. Then, by adding a power integrator technique, a state-feedback finite-time controller is explicitly constructed. It is proven that, the...
This paper studies the problem of the non-fragile decentralized control for a class of discrete-time switched interconnected systems with time delay. By utilizing of the S-procedure lemma and Abel-based finite sum inequality method, a sufficient condition for the asymptotical stability of the switched interconnected time-delay systems is presented. Then, the non-fragile switched decentralized controller...
Coordinated animal behavior is abundant in nature, such as the uniform moving phenomenon among bird flocks, the collective evasion maneuvers of fish schools. To explore the appealing inter-individual interaction mechanism governing the abundant biological grouping behaviors, more and more efforts have been devoted to collective motion investigation in recent years. Previous research claims the existence...
This paper investigates the algebraic formulation for a class of dynamic games with random entrance by using the semi-tensor product method, and presents a number of new results. The given dynamic game is considered as a kind of networked evolutionary games defined on finite networks, based on which, it is formulated as an Markov processes to analyze. Then, an illustrative example is studied to support...
In this paper, we study a class of one-sided Lipschitz conditions switched nonlinear time delay systems based on observer design. According to the theory of linear matrix inequalities, the one-sided Lipschitz condition switch the matrix inequality conditions, and we go a step further that a sufficient condition is obtain for the asymptotic stability with perturbations of nonlinear switched systems...
In this paper, we construct a nonlinear extended state observer (ESO) through nonlinear functions switching between sub-linear and linear regions. The convergence is proved with explicit error estimation. The numerical simulations are carried out for comparing the performance of different ESOs. The simulation visualization shows that the proposed ESO in this paper takes advantages of low peaking value...
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