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This paper investigates the coupling of three nonlinear fractional differential equations, which analyzes the dynamic characteristics of the system and uses the modified DTM method to solve the nonlinear fractional differential equation of it. We use the method of ‘0–1 test’ to verify chaotic of the system, compute Lyapunov exponents to verify the regimes of chaotic dynamics, and design a nonlinear...
A tail-controlled BTT missile with flaps control is presented. First, we derive the nonlinear system model of the six-degree-of-freedom with two inputs. Based on choosing the angle-of-attack and roll angle as output variables, the internal dynamics of the system are analyzed by using differential geometry method, and are proved to be stabilized. An autopilot is designed by using the feedback linearization...
Sloshing is a complex nonlinear dynamic phenomenon. It is difficult and challenging to model the coupling between the sloshing and the motion of the tank body. The sloshing has significant influence on the stability of the system. Hence, it is essential and necessary to study the dynamic characteristics of sloshing system. In this study, a wave height function and a potential function are used to...
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...
In modern space missions, such as space rendezvous and docking, actuator switching, booster stage separation for carrier rockets, the instantaneous mass or structure variations are exist. A Hamilton system based spacecraft attitude switching control scheme is proposed. The passivity control law is designed based on the Hamilton system model of spacecraft. A dynamic inversion method is used to compensate...
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...
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 addresses a new nonlinear gain feedback based neural adaptive dynamic surface control (DSC) method for a class of strict feedback nonlinear systems in the presence of uncertainties and external disturbances. Besides circumventing the problem of complexity explosion, the nonlinear gain feedback technique brings a self-regulation ability into the pioneering DSC method to improve the dynamic...
Modeling and control methods for systems with dynamic hysteresis are proposed in this paper based on a type of Hammerstein models. Experiments are conducted on a typical dynamic hysteresis system, i.e., a giant magnetostrictive actuator. The modeling, real-time tracking, and real-time active vibration control results are presented. These results verify the effectiveness and accuracy of the modeling...
Supercavitating vehicle in high speed is covered by supercavity substantially or wholly. The collision between fin of vehicle and supercavity always results in the generation of nonlinear planning force, which brings vibration and shock. To ensure stable movement of underwater supercavitating vehicle, the effects of cavitation number on the motion characteristics of a supercavitating vehicle are analyzed...
This paper presents a robust control scheme for the tracking control of singularly perturbed uncertain systems. The design problem is divided into two parts: tracking the reference trajectory and enhancing the robustness of the dynamic systems. By using the time-scale techniques, dynamic inversion approach and linear parameter-varying methods, a set of singularly perturbed state feedback controllers...
This paper investigates the problem of full state constrained control based on event triggered for a class of high-order nonlinear systems. Compared with the previous designs, the reduced order dynamic gain observer (RDGO) is constructed to estimate the state variables unmeasured. By introducing a barrier Lyapunov function (BLF) to every step in the backstepping procedure, an adaptive backstepping...
In this paper, we investigate the Bayesian filtering problem for discrete nonlinear dynamical systems which contain random parameters. An augmented cubature Kalman filter (CKF) is developed to deal with the random parameters, where the state vector is enlarged by incorporating the random parameters. The corresponding number of cubature points is increased, so the augmented CKF method requires more...
Commercial piezoelectric actuated stages usually has been decoupling designed from the mechanical structure. This paper develops a piezoelectric actuated stage (P-563.3CD) experiment platform. Observed cross-coupling effect in the piezo-stage is below 1%. In order to improve the performance of piezo-stage in a further step, a multi-channel Hammerstein model is developed to describe the cross-coupling...
In this paper, we consider the consensus problem for a class of uncertain nonlinear systems under an undirected communication topology via event-triggered approaches. The centralized and distributed event-triggered control schemes are presented utilizing neural networks (NNs) and event-driven mechanisms, where the advantages of the proposed control laws lie that they remove the requirement for exact...
In this paper, a new method is presented for identification of single-input single-output (SISO) nonlinear systems with long time delay. The proposed dynamic extreme learning machine (DELM) is different from extreme learning machine in that it adds adaptive delay parameters in the output layer of the network, and the delay parameter is optimized by use of particle swarm algorithm. The dynamic extreme...
For parameter dependent nonlinear system, once the parameter reaches a critical point, the equivalent relationship of the system trajectory will be destroyed and further lead to structural instability of the whole system. This is the dynamic bifurcation phenomenon and is also the fundamental cause of instability oscillations and dynamic failures for most practical systems. In this research, Hopf bifurcation,...
An adaptive output feedback dynamic surface control (DSC) scheme is proposed for a class of nonlinear systems with time-varying output constraint and input saturation. The unknown nonlinear continuous functions are approximated by radial basis function neural networks (RBFNNs). An asymmetric barrier Lyapunov function (ABLF) is employed to cope with time-varying output constraint and design the adaptive...
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