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The Phase-Locked Loop(PLL) is a key component of modern electronic communication and control systems. PLL is designed to extract signals from transmission channels. It plays an important role in systems where it is required to estimate the phase of a received signal, such as carrier tracking from global positioning system (GPS) satellites. In order to robustly provide centimeter-level accuracy, it...
Based on convex combination technique and LMI (linear matrix inequality) method, the problem of state observers design for a class of switched interconnected large-scale nonlinear systems is studied. Interconnected terms are composed of linear part and nonlinear part. By using single Lyapunov function technique, a sufficient condition of stabilization for error systems is obtained and expressed as...
The robust synchronization of a class of uncertain chaotic neural networks with parameters perturbation and external disturbances is investigated in this paper. The time-delay feedback control term is introduced in the synchronization controller to achieve the robust synchronization of the drive-response structure of neural networks. Based on the Lyapunov stability theory and linear matrix inequality...
The stabilization of switched nonlinear systems with pre-specified average dwell time is studied in this paper. An approach to controllers design using control Lyapunov function is proposed, the proposed switched controllers can stabilize the switched nonlinear systems with the pre-specified average dwell time. Furthermore, if there exists disturbances in switched systems, the proposed approach can...
The notions of the practical stability in probability and in the pth mean, and the practical controllability in probability and in the pth mean, are introduced for some stochastic systems with Markovian jump parameters and time-varying delays. Sufficient conditions on such practical properties are obtained by using the comparison principle and the Lyapunov function methods. Besides, for a class of...
This work develops a robust fault detection and isolation (FDI) and fault-tolerant control (FTC) structure for distributed processes modeled by nonlinear parabolic PDEs with control constraints, time-varying uncertain variables and a finite number of output measurements with limited accuracy. To facilitate the controller synthesis and fault diagnosis tasks, a finite-dimensional system that approximates...
In this work, we study the implementation of magnetorheological fluid (MRF) to the semi-active suspension. Owing to the nonlinear hysteretic phenomenon, the analysis and synthesis of a controller is not trivial. The kinematic energy and spring potential function of the suspension system plus an integral term of the hysteretic component of an MR damper is chosen as the Lyaupnov function to verify the...
This paper proposes a nonlinear adaptive back-stepping controller to damp the oscillations and improve the transient stability in multi-machine power systems. The designed controller is adaptive to unknown generator parameters. The proposed controller is designed based on a fourth order nonlinear model of a synchronous generator and the automatic voltage regulator model is considered so as to decrease...
This work considers the problem of predictive control of nonlinear process systems subject to input constraints. Lyapunov-based tools are used to develop control- law independent characterizations of the stability region and this characterization is exploited via the constraints handling capabilities of model predicative controllers to expand on the set of initial conditions for which closed-loop...
A nonlinear feedback controller is designed to make the first two state of a chaotic system called Josephson-circuits-coupled quantum cellular neural network track an arbitrary two-dimensional smooth reference signal. It is proved by means of Lyapunov function that this method can make the system approach to any two desired smooth orbits at an exponent rate. The synchronizations with Duffingpsilas...
The paper presents a design technique using adaptive backstepping method for the aircraft longitudinal flight path control laws. This control method constructs the Lyapunov function using backstepping loops, and designs on-line GCMAC neural networks used to study and compensate the unknown aerodynamic uncertainties in the plant model. Then, the neural network weights turn laws are designed based on...
This paper concerns the adaptive fast finite time control of a class of nonlinear uncertain systems of which the upper bounds of the system uncertainties are unknown. By using the fast non-smooth control Lyapunov function and the method of so-called adding a power integrator merging with adaptive technique, a recursive design procedure is provided, which guarantees the fast finite time stability of...
This paper is concerned with the Hinfin control problem for a class of non-minimum phase cascade switched nonlinear systems. The system under consideration is composed of two cascade-connected parts which are also switched systems. Sufficient conditions under which the Hinfin control problem is solvable under an arbitrary switching law are presented. The common Lyapunov function and the switched state...
This paper presents development of nonlinear model and nonlinear control strategy for a 6-DOF quadrotor aerial robot. The nonlinear model of quadrotor aerial robot is based on Newton-Euler formalism. Model derivation comprises determining equations of motion of the quadrotor in three dimensions and seeking to approximate actuation forces through modeling of the aerodynamic coefficients and electric...
A new method is proposed to design delay-dependent stability controller for nonlinear systems with time-varying delay in this paper. It is presented by introducing a new type of Lyapunov function. Different from the general processing method, no any term is ignored during the process of analyzing. The controller is obtained by considering the additional useful terms, which were ignored in previous...
In this paper, a nonlinear adaptive robust control method is presented for a single-rod electro-hydraulic actuator with unknown nonlinear parameters. Previous adaptive control methods of hydraulic systems always assume that the system's unknown parameters occur linearly, but, in a practical hydraulic system, unknown nonlinear parameters, which enter the system equations in a nonlinear way, are common;...
In this paper, by the Lyapunov function method, based on the nonlinear dynamical coupled model of string of vehicles, the problem of stability of a vehicle string in the presence of parametric uncertainty and time delays is studied, the decentralized adaptive algorithm to compensate for parametric variations is investigated and the variable structure longitudinal control laws for each vehicle in the...
A fuzzy cerebellar model articulation control system is presented for multi-input multi-output (MIMO) nonlinear systems. The proposed control system contains of a fuzzy CMAC (FCMAC) and a robust controller. FCMAC is a main tracking controller utilized to approximate an ideal controller and the parameters of FCMAC are on-line tuned by the derived adaptive laws from the Lyapunov function. The robust...
In this paper, the fault tolerant control problem of nonlinear systems against actuator failures is considered. By representing the open-loop nonlinear systems in a state dependent linear-like polynomial form and implementing a special class of Lyapunov functions, the above problem can be formulated in terms of state dependent linear polynomial inequalities. Semidefinite programming relaxations based...
A novel reinforcement-learning based output-adaptive neural network (NN) controller, also referred as the adaptive-critic NN controller, is developed to track a desired trajectory for a class of complex feedback nonlinear discrete-time systems in the presence of bounded and unknown disturbances. This nonlinear discrete-time system consists of a second order system in nonstrict form and an affine nonlinear...
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