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The problem of L1-induced performance analysis for continuous positive systems with time-delay is investigated in this paper. At first, we propose a integral method to compute the value of the system L1-induced norm, and the relationship between the transfer function and L1-induced norm of such systems is obtained. Then, the necessary and sufficient condition is given to ensure that such systems are...
This paper addresses a constrained robust output regulation problem for a class of output feedback systems with unknown control direction. The problem is firstly transformed into a constrained stabilization problem by introducing the internal model principle. Then a robust adaptive feedback control law for the system is proposed to solve the constrained stabilization problem by incorporating the techniques...
This paper studies the exponential input-to-state stability (e-ISS) for hybrid dynamical networks (HDNs) consisting of flow and jumping subsystems. Concepts of input-to-state exponent (IS-E) and event-ISS are proposed. By using the IS-E estimates of subsystems and the method of multiple Lyapunov functions and M-matrix theory, the e-ISS including event-e-ISS criteria are established for HDNs. The small-gain...
For the obvious characteristics of time-varying nonlinear controlled object, in order to improve the control performance, the appropriate adaptive control strategy could be used. Based on the research object system of a certain amount of input to control variables, according to Lyapunov stability theory, the research object system input/output variable a model reference adaptive control system was...
The finite-time stabilization problem for a class of neutral time-delay systems is considered. For the energy-bounded disturbance input, the designed state feedback controller can makes the concerned neutral systems finite-time stabilization. By using the constructed Lyapunov functional and linear matrix inequalities techniques, the sufficient condition for the finite-time stabilization is derived...
A kind of membership function, called as generalized linear membership function(GLMF), is designed in the paper, and the triangular and trapezoid ones are as its special cases. It is derived that the fuzzy-PID Controller with GLMF is equivalent to the sum of a nonlinear PID controller and a compensation value, based on the analytical structure of the controller. With the definition of fuzzy Lyapunov...
The problem of reducing conservatism of observer design of discrete-time Takagi-Sugeno fuzzy systems is addressed via a new kind of fuzzy observer. The so-called multi-instant fuzzy observer is parameter-dependent on both past-time and current-time normalized fuzzy weighting functions. Since more information about the underlying fuzzy systems could be involved into observer design, the conservatism...
For a class of linear time-varying system with non-uniform sample, we discrete the system by combination of both norm invariant and step invariant transformation, taking the problem of non-uniform sample transformed into discrete time varying system problem. Based on designed the fault estimator, we construct Lyapunov function, to get the essential condition of the error equation asymptotic stability...
In this paper, the set invariance condition and disturbance rejection problem of actuator saturation linear systems with disturbance are discussed. Under the control of linear state feedback, the new set invariance condition and new optimal approach to enlarge the invariant ellipsoid are given by using composite quadratic Lyapunov functions method. It is proved that the convex hull of some invariant...
By exploring some geometric properties of the logarithmic quantizer and using the fact that the logarithmic quantizer is sector bounded and nondecreasing, this paper presents a new approach to the stability analysis of quantized feedback control systems. Our method is based on Tsypkin-type Lyapunov functions that have been widely used in absolute stability analysis problems. The results are expressed...
This paper investigates the impulsive synchronization problem of complex dynamical network system (CDNs) with uncertainty and coupling time-varying delay. The aim is to design distributed impulsive controllers with minimum necessary coupling strength. A time-varying Lyapunov function based method is proposed to find the synchronization condition for the impulsively controlled CDNs. By utilizing a...
The paper investigates the output-feedback control problem for a more general class of stochastic nonlinear systems with stochastic integral input-state stability (SiISS) inverse dynamics driven by noise of unknown covariance. With the aid of stochastic LaSalle theorem, small-gain type conditions and backstepping technique, an adaptive output-feedback controller is successfully constructed to render...
This paper investigates the decentralized output-feedback control for a class of large-scale high-order stochastic nonlinear systems with unknown control coefficients. By developing a decentralized high gain homogeneous domination approach, it is shown that under some general conditions, the closed-loop system can be proved to be globally asymptotically stable (GAS) in probability. The efficiency...
This paper studies the problem of synchronization on a complex dynamical network where the nodes' dynamics are nonlinear time-invariant systems and share a directed communication network. Firstly, we study the problem of synchronization on a directed network with physical links. An explicit Lyapunov function is constructed by using an appropriate matrix to derive the threshold of event generator....
Antiskid is an important factor that directly impacts safe operation of high-speed trains (HST). However, if the antiskid control is designed independently from the traction/braking unit, as usually the case in most existing methods, the traction/braking control performance might be degraded. In this work, the antiskid constraint is directly linked with the development of traction/braking control...
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