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This paper addresses the robust non-fragile leader-following consensus problem for multi-agent systems against state-dependent uncertainties and controller coefficient variations. Without the requirement of knowledge of uncertainties of agents and controllers, adaptive distributed controllers are constructed to guarantee the follower agents tracking the leader agent. Asymptotic consensus results of...
A robust model predictive control approach for a class of uncertain continuous systems with nonlinear disturbance and state-delay is proposed. The designed robust controller guarantees the closed-loop system asymptotically stable and the receding horizon performance index online minimum. Based on receding optimization principle of predictive control, the infinite time domain optimization problem is...
Recently, the fire-rescue ladder is towards to the direction of faster operation, lighter, extended length and larger outreach. The lightweight of the fire-rescue ladder and the limited stiffness of the ladder structure directly lead to different bending vibration problems in different modes. In this paper, the fire-rescue ladder is modeled as segmented Euler-Bemoulli beam with gravity and tip mass...
This paper deal with the problem of H∞ robust fault estimation for discrete time nonlinear system with a sector bounded nonlinear additive terms and multiple bounded state delay using the Takagi-Sugeno (T-S) fuzzy model. A fuzzy-fault estimation observer (FFEO) design is proposed to achieve fault estimation of T-S state delay models using fuzzy Lyapunov functions (FLF) with actuator and sensor faults...
In this paper, the design of a switched non-PDC controller, for a class of switched nonlinear systems subject to external disturbances is investigated for the purpose of satisfying robust H∞ output-feedback tracking performances. Based on multiple switched non quadratic-like Lyapunov functions, sufficient conditions for the existence of a switched non-PDC controller are formulated in terms of Linear...
We investigate the filter design problem for discretetime interval uncertain positive systems under the ℓ1 performance in this paper. First, we propose some conditions expressed by linear programming to ensure the asymptotic stability and the ℓ1 performance for given positive systems. Then, we establish a novel filter design approach and an iterative algorithm to obtain the desired filter for interval...
This paper is concerned with the problem of stabilization and tracking for a class of underactuated systems subjected to external disturbances. Based on the mathematical model of a 4 degrees of freedom (4DOF) ball and plate system, a robust backstepping controller with disturbance rejection is developed. The proposed controller is capable of handling bounded uncertainties with unknown periodicity...
This paper proposed a novel sensor based backstepping control mthod for hypersonic vehicle with actuator compensator. The novel sensor based backstepping control method will apply the so-called “approximate dynamic inversion” to design the virtual control law for each subsystem, not just for the last subsystem. Compared with the traditional method, it does not need all of the precise aerodynamic parameters...
Lately, it has been developed many studies related to the control of uncertain systems, one reason for this studies is because it is hard to precisely describe a system, therefore the process is expressed as uncertain systems. One way to represent an uncertain system is by describing the model as a convex combination of several knownmodels. In this paper a state feedback controller is designed for...
This article investigates the problem of fault detection for a class of uncertain systems by a new method. Based on the system's own uncertainty and external disturbances, a more effective fault detection method is designed by the method of homogeneous polynomial function. This detection method not only suppresses the effects of disturbances and uncertainties on the residual signal but also makes...
This paper presents a novel integral sliding mode control (ISMC) for singularly perturbed systems (SPSs) with matched disturbances. Firstly, a linear state feedback control law for the fast subsystem of SPS is designed, and the slow subsystem can be obtained. Secondly, an ISMC incorporating the disturbance estimate provided by a disturbance observer is designed. In order to attenuate matched disturbances,...
This paper considers the robust consensus problem of Lipschitz nonlinear multi-agent systems with matched disturbances and time-delay dynamics. By LMI approach based on Lyapunov function, distributed adaptive protocols are proposed, which rely on the state information of neighbor agents. Theoretical analysis indicates that the proposed protocol achieve both the leaderless and leader-following consensus...
Backstepping-based, robust stabilization procedure for nonlinear systems with time-varying parameters is presented. First a general approach for nonlinear parameter dependence is developed, then the special case of a linear-in-parameters system is considered. Possible simplifications of the design and benefits of this system structure are discussed and illustrated by examples.
This paper proposes a systematic approach to derive analytical and explicit certificates for transient stability analysis of inverter-based microgrids. We first derive a line-based model of microgrids with general mesh structure. Then by employing Lyapunov stability theory with a quadratic Lyapunov function, the region of attraction of any post-fault stable equilibrium point (EP) is estimated by a...
For low hitting precision, bad robustness and high normal acceleration of traditional torpedo guidance law, the paper designed anti-torpedo torpedo(ATT) guidance law based on variable structure control. State equation of line of sight angle between ATT and target can be achieved from mathematical model of moving relation between ATT and target torpedo, and designed a variable structure controller...
This paper addresses robust consensus for a class of linear multi-agent systems (MASs) with uncertainty in communication network. It is suppose that the weighted adjacency matrix of the MAS is known to lie within an uncertainty polytope. Base on the Lyapunov stability theory combining with homogeneous parameter-dependent (HPD) Lyapunov functions, necessary and sufficient conditions for ensuring robust...
To achieve steering angle tracking performance of a novel steering-by-wire (SbW) system, a sliding mode-based learning control (SMLC) is developed. It features that the bounds information of disturbances isn't required in advance and the chattering phenomenon will be reduced. Simulation results show that the proposed SMLC has excellent steering angle tracking performance, robust performance and energy...
This paper aims to study the robust nonfragile H∞ controller design problem for a class of uncertain discrete-time nonlinear singular systems. A Takagi-Sugeno (T-S) fuzzy singular model with norm-bounded uncertainties is employed to represent a nonlinear plant. Basing on observers for the fuzzy model, we can construct a fuzzy controller with uncertainties existing in the implementation process. A...
A methodology of designing adaptive sliding mode controllers for a class of nonlinear systems with matched and mismatched perturbations is proposed in this paper. Firstly, A specific designed sliding surface function is presented, and the controller with adaptive mechanisms embedded is also designed in accordance with the designated sliding surface function. Secondly, the coefficients of designated...
This paper is concerned with the problem of stochastic stabilization and H∞ control for a class of continuous-time nonlinear Markovian jump systems (MJSs) described by Takagi-Sugeno (T-S) fuzzy models. Based on a mode-dependent fuzzy Lyapunov function and by introducing slack matrix variables, we propose a new less conservative sufficient condition for the mode-dependent fuzzy controller in terms...
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