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In this work, we focus on the stability analysis of normal switching systems with bounded disturbance. Using the Lyapunov function, the bound of disturbance is given. This paper mainly study the analysis of normal switching systems with disturbance, When the disturbance in the system satisfies some conditions, the trajectory of switching system is asymptotic stability under arbitrary switch. We also...
In this paper, the problem of Hinfin control for a class of Markov jump linear system (MJLS) with timevarying transition rates (TRs) is investigated. The time-varying character of TRs is considered as finite piecewise homogeneous and the variations of TR matrices in the finite set are considered as two types: arbitrary variation and stochastic variation. The latter means that the variations are subject...
This paper aims to design an innovative observerbased reliable controller for networked control system(NCS). The state and sensor failures are estimated as the controller's input. The gains of Observer and observer-based feedback controller are solved via the linear matrix inequality (LMI) technology. An illustrative example is given to show the reliable output can works well even if the sensor failures...
This paper studies the global states regulation problem via output feedback for a class of uncertain nonlinear systems and a class of their cascade systems. The uncertain nonlinear perturbed terms of the considered systems are assumed to satisfy a generalized condition which is related to an unknown constant and is more relaxed than the existing triangular-type condition. Due to the presence of unknown...
This paper investigates the nano-positioning control for a piezoelectric actuator system with states time-delay via multiple Lyapunov functions. The multiple Lyapunov functions can relax stabilization conditions derived by the traditional single Lyapunov function. First, the Bouc-Wen equation establishes the mathematical model of a piezoelectric actuator system. To reduce the nonlinear hysteresis...
Networked control system (NCS) is a newly emerging topic within control theory community. In this paper we pay particular attention to the problem concerning data rate constraint. Motivated by many successful results in related research, we study the lowest data rate needed to stabilize an LTI system when the controller structure is limited to be a static state feedback and the channel is modeled...
The connection-coefficients control is a new control model, which is proposed for regulating connection coefficients of the state variables the subsystems of the interconnected systems. It is the direct regulations for the connections of system states and is different from the traditional feedback compensation. This paper is focused on the Connection-Coefficients Synergic Stabilization Problem of...
In this paper, least squares support vector machine (LS-SVM) based motion control and obstacle avoidance of a mobile robot are proposed under measured data with uncertainty. The proposed scheme can control the mobile robot by using a potential field function, where the potential field function is based on Lyapunov function candidate. The Lyapunov function candidate includes a flat plane, the flat...
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