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This paper is concerned with robust stochastic stabilization problem for a class of uncertain stochastic fuzzy systems. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is robustly stochastically asymptotically stable. Sufficient conditions for the solvability of this problem are obtained by using matrix operations and stochastic Lyapunov approach...
This paper investigates robust static output feedback (SOF) control problem for the linear systems with parameter uncertainties. Based on the structure of the uncertainties, the systems are separated into linear time invariant (LTI) systems and linear parameter varying (LPV) systems. Then, a class of uncertain systems with norm-bounded perturbations is discussed for both LTI systems and LPV systems...
The state observer and H∞ control via output feedback for time-delay neutral systems are studied in this paper. A sufficient condition is given for the existence of the H∞ state observer of the system first. And then a new criterion of the stability for the closed loop system via output feedback is presented by two linear matrix inequalities. Finally a numerical example is given to demonstrate the...
For a biologically inspired mechanical system consisting of multiple segments, its natural oscillation is defined as a periodic body movement pattern conforming to the dynamics inherent to the body-environment interaction, leading to an effective locomotion of the system. In the literature, a central pattern generator based controller has been designed to approximately achieve entrainment to a natural...
This paper investigates delay-dependent passive analysis and control for stochastic differential systems with time delay. The condition for delay-dependent passive control of stochastic differential systems with time delay is obtained by constructing Lyapunov-Krasovskii function, employing model transformation and Newton-Leibniz equality and slack matrix technique. Based on this condition, a delay-dependent...
This paper investigates the robust control problem of nonholonomic dynamic systems with unknown inertia parameters, dynamic and static friction terms, and other disturbances. Based on the ideas of H∞ control and homogeneous feedback, the controller proposed can stabilize the closed loop systems when there is no exotic disturbance. In addition, it can realize the desired disturbance attenuation according...
In this paper, robust model predictive control approach is proposed for time-delay systems with structured uncertainty, which has rarely been addressed in the literature. Using the control invariant set and linear matrix inequalities (LMIs), the control approach could stabilized the time-delay systems with structured uncertainty. The effectiveness of the proposed approach is verified by simulation...
In this paper, we investigate the robust weighted H∞ filtering problem for networked systems with multiple sensor faults under the discrete-time framework. The multiple outputs of the plant are measured by separate sensors and each sensor has certain failure rate. Network-induced delay, packet dropouts and network-induced disorder phenomena are all characterized in the modeling of the network link...
Serving as a great supplement for stochastic stability and stabilization, new notions called essential instability and essential destabilization are introduced. In this way, according to the spectral distribution of an uncontrolled linear time-invariant stochastic system in the complex plane, we distinguish three kinds of stabilities: asymptotical mean square stability, critical stability and essential...
This paper addresses the position control of robot manipulators in general task space with a model-free controller. A simple proportional-integral-derivative (PID) control is developed. The closed-loop system formed by the proposed PID control and the robot system is shown to be global asymptotically stable. Conditions on controller gains ensuring global asymptotic stability are obtained herein in...
This paper studies the stabilization, L2-disturbance attenuation control and adaptive L2-disturbance attenuation control of a class of nonlinear descriptor systems, and presents a number of new results on the control designs. First, under a suitable state feedback, two sufficient conditions of impulse-free are given for the resulted closed-loop system. Then, the stabilization problem is discussed...
Many problems in system and control areas are in the form of Linear matrix inequalities (LMIs). Methods such as interior point methods have been applied to solve these problems. However, for problems with large numbers of LMIs, these algorithms involving high dimensional matrixes can be inefficient. In this paper, the subgradient-simplex based cutting plane method is used to solve the LMI feasibility...
In this paper, the robust stability is investigated for neural networks of neutral-type with both discrete and distributed time-varying delays. Based on Lyapunov-Krasovskii stability theory and stochastic analysis approaches, several new criteria are derived to guarantee the robust stability of the system. Some numerical examples are given to demonstrate the applicability of our proposed stability...
This paper concerns with robust stability of networked control systems (NCSs) by considering the effects of both the time-varying network-induced delay and data packet dropout simultaneously. A less conservative delay-dependent stability condition is formulated in the form of linear matrix inequalities based on a new delay bisection approach to time-varying delay. No slack matrix variable is introduced...
A guidance control method is proposed for the mission of autonomous rendezvous and docking with non-cooperative target spacecraft. Firstly, the relative motion equations of state are described in a line of sight coordinate frame. Then artificial potential function guidance is used for chaser to approach non-cooperative target. Moreover, this guidance method is based on fuzzy logic system which satisfies...
This paper addresses the problem of mean-square exponential stability of stochastic neutral systems with nonlinear stochastic perturbations. By introducing an auxiliary vector, it is shown that the deterministic Lyapunov-Krasovskii functionals can be extended to stochastic time-delay systems. Then new delay-dependent criteria are established in this paper in terms of linear matrix inequalities (LMIs)...
An observer-based robust H∞ control for a class of linear uncertain neutral-type systems is presented in this paper. Based on Lyapunov-Krasovskii theory, a delay-dependent condition for the existence of a linear full-order robust H∞ controller is constructed. By the singular value decomposition (SVD) approach, the result can be expressed in terms of a set of strict linear matrix inequalities (LMIs)...
In this paper, we investigate the design problem of the sliding mode control for uncertain singular time-delay systems. Based on the dependent-delay robust stability criterion, we give an integral-type surface and propose a delay-dependent sufficient condition such that the sliding mode dynamics restricted to the surface is regular, impulse free, robustly asymptotically stable for all admissible uncertainties...
The problem of robust H∞ stability analysis for a class of uncertain singular time-delay systems with Markovian jumping parameters is addressed in this paper. The considered Markovian jump singular systems involve constant time delay and norm-bounded uncertainties. Based on linear matrix inequality (LMI) approach, a delay dependent condition is proposed, which ensures the Markovian jump singular system...
This paper investigates the guaranteed cost control and optimization design for a class of nonlinear neutral systems. Using a descriptor system model transformation approach, a sufficient condition for the existence of guaranteed cost controller is given in terms of linear matrix inequalities(LMIs). In this method, the nonlinear parameter perturbation is viewed as effective information. Further, the...
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