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This paper studies the problem of H∞ filter design for continuous-time nonhomogeneous Markov jump systems. The time-varying transition probabilities in continuous-time domain are considered to be in a polytopic type. By constructing a Lyapunov function and fully considering the information of filter parameters, the stochastic stability and a prescribed H∞ performance index are guaranteed in terms...
Continuity of the polytope generated by a set of matrices is dealt with in this paper. We have defined a norm for the polytope, and verified when these matrices belong to a compact set in Rn×n the norm is bounded and the polytope is compact. Moreover, we have verified if the polytope is treated as a set-valued mapping from Rn to Rn, it is continuous and with convex and compact values.
The great challenge posed by unmanned surface vehicle is to improve the automation level in practical application. In this paper, an unmanned surface vehicle course tracking controller is designed to overcome the input saturation caused by the limitation of the steering engine. The feedback control law is developed based on backstepping design method with the Lyapunov stability theory. An auxiliary...
For a class of high order uncertain linear system affected by parameter variations and disturbance, a reduced order observer is considered. A set-valued observer is designed for the main part of reduced-order observer, which estimates a convex cone containing the real states and fault states. The theoretical foundation of design of set-valued observer is uniformly boundness theory. By constructing...
This paper deals with the stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions(HPD-QLF). Using the homogeneous parameter-dependent quadratic Lyapunov functions, a new method about estimation of stability regions is obtained. Through formulating the problem as LMIs optimization problem, the new method can get less conservative...
This paper presents a new type of Lyapunov function which is called composite homogeneous parameter dependent quadratic Lyapunov function. By using this function, a condition is derived in terms of an auxiliary feedback matrix for determining if a given convex hull is an estimation of attractive region for a system under a saturated linear feedback. Most of the cases, the shape of attractive region...
The time-delay in state variables can impacts the stability of power system. The problem about stability analysis of linear systems with time-varying delays is concerned. A general criterion of the system asymptotic stability is established by segmenting delay intervals. Corollaries under different conditions are given. The three delay intervals with delay information are segmented finitely based...
The problem on the existence of a common quadratic Lyapunov function for switched unified chaotic systems is investigated in this paper. Switched unified chaotic systems with a varying parameter are constructed. A sufficient condition on the existence of a common quadratic Lyapunov function is derived in view of the solution to a group of matrix inequalities. By designing linear state feedback controllers,...
This paper is concerned with a finite time control law design to suppress flutter in an alaeroelastic system. Firstly, we design a terminal sliding surface for the alaeroelastic system. Based on Lyapunov stability theory, the stability of the closed-loop system is established. The corresponding numerical simulations are demonstrated to verify the effectiveness of proposed method.
This paper is devoted to the semiglobal finite-time stabilization via output-feedback for a class of high-order uncertain nonlinear systems. This problem can hardly be solved by the existing schemes, mainly since the systems under investigation contain unknown control coefficients which are dominated by the known functions of system states, and possess more serious nonlinearities which allow arbitrary-high-order...
In this paper, an adaptive dynamic surface output feedback control scheme is proposed for a class of nonlinear systems with unmodeled dynamics and output constraint. A description based on Lyapunov function for unmodeled dynamics is proposed to handle dynamic uncertainties. An one to one nonlinear mapping is introduced to solve output constrained problem. K-filters is introduced to estimate the unmeasured...
This paper proposes a nonsmooth control scheme for high-order nonlinear time-delay systems without extra assumptions, which can be regarded as an expansion of the backstepping method based on dynamic gains. With the help of the Lyapunov-Krasovskii theorem, a continuous and memoryless controller is explicitly constructed, which guarantees that all the closed-loop signals are globally uniformly ultimately...
An adaptive neural control method is developed for a class of full state constrained nonlinear systems with unmodeled dynamics and time-varying delays in this paper. An integral barrier Lyapunov function (iBLF) is used to every step in the backstepping procedure to ensure that the full state constraints are not violated. The unmodeled dynamics is dealt with by introducing a dynamic signal and the...
Using modified dynamic surface control (DSC) method and the approximation capability of neural networks, decentralized adaptive DSC is developed for a class of pure-feedback nonlinear interconnected systems with state unmodeled dynamics and output constraints. Dynamic signal is introduced to deal with the dynamic uncertainty produced by unmodeled dynamics. The integral barrier Lyapunov function (iBLF)...
This paper fucuses on the global control problem for a class of upper-triangular nonlinear systems whose linearization around the origin is not guaranteed to be controllable. Assuming that the nonlinearities satisfy the homogeneous growth conditions, a nonsmooth state-feedback controller is elaborately constructed based on the adding a power integrator technique and the homogeneous domination approach...
This paper considers the practical output tracking problem for a class of switched uncertain nonlinear systems with unstable subsystems. A new approach combining the single Lyapunov function (SLF) method and a dynamic gain based strategy is first proposed. Then the dynamic controllers of individual subsystems and a proper switching law are constructed to guarantee that all the signals of the resulting...
This paper studies the flocking problem for flying robots in three-dimensional space. Each robot's attitude dynamics is considered. Motivated by consensus algorithms, we propose a distributed control law to achieve the flocking of flying robots. The convergence is proved by Lyapunov function and LaSalle's invariance principle. And the simulation results are given to demonstrate the effectiveness of...
This paper studies the sampled-data control problem for a class of nonlinear systems. A multi-rate digital controller is designed by combining the input-Lyapunov matching approach and the multi-rate approach. The proposed control scheme ensures the stability of the closed-loop sampled-data system. Compared with emulated strategies, our controller has the form of series in power of sampling period,...
In this paper, the problem of finite-time stabilization for a class of memristor-based neural networks with time-varying delays is investigated by using hybrid impulsive and nonlinear feedback controllers. Based on the theory of the differential equations with discontinuous right and Lyapunov function approach, several sufficient conditions are derived to guarantee the finite-time stabilization of...
This paper considers the consensus control problem for a class of non-holonomic chained systems. A smooth static distributed control algorithm is proposed with the aid of the Lyapunov direct method and LaSalle invariance principle. Strict stability analysis for the closed-loop system is presented, proving the global asymptotic convergence of the consensus errors to zero under the undirected connected...
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