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This paper considers the stabilization problem for one-sided Lipschitz nonlinear differential inclusion system with stochastic disturbance. Firstly, the stability theory of stochastic differential equation is extended to stochastic differential inclusion. Then, the feedback law is constructed to make the closed-loop system exponentially stable in mean square. Finally, two numerical examples are simulated...
The dynamic of fixed-trim vehicle controlled by a single moving-mass is very complex due to its strong nonlinear and coupling characteristics. The relationship between the controller parameters and dynamic performance of the system is hardly obtained by traditional linear system theory. Since the controller has a significant impact on the stability and dynamic characteristics of the closed-loop system,...
A boundary control method for nonlinear partial differential equations (PDEs) is developed, with the use of differential flatness theory. First, following the procedure for numerical solution of nonlinear PDEs, it is shown that the PDE is equivalently represented by a set of nonlinear ordinary differential equations (ODEs) and an associated state equations model. For the local subsystems, into which...
This paper discusses the stability analysis of networked control systems (NCSs) with transmission delays. In an NCS, the presence of time delays in the transmission may severely affect the performance of the closed-loop system and prevent the successful application of established nonlinear control methodologies. First, we present the backstepping interpretation of Smith predictors for linear time-variant...
Utilizing the notion of Filippov solution, a sliding mode control law is derived for generic second order nonlinear mechanical system with friction. The control law is designed with some tunable parameters and optional functions. The asymptotically stability of the closed-loop system is proved by the concept of the solution, nonsmooth analysis and nonsmooth Lyapunov stability theory. By some numerical...
This paper deals with the stabilization of fuzzy stochastic systems with multiplicative noise subject to actuator saturation. The Itô's differential equation is used to present the nonlinear stochastic system. Moreover, the Takagi-Sugeno (T-S) fuzzy model is employed to approximate a nonlinear continuous system with multiplicative noise. The actually physical capacity of the actuator is limited and...
A functional differential inclusion-based approach to L2-gain analysis and feedback control problems is presented for a class of discontinuous time-delay systems. Motivated by Filippov solution in the differential equations with discontinuous right-hand side, definition of the discontinuous time-delay systems forced by external signals is introduced, and a description of L2-gain property in the sense...
This paper considers the stability and constrained stabilization of dynamic systems described by second or higher order vector differential equations. Such systems arise in various applications including electromechanical systems, aerodynamics, structural analysis, robotics and vibration systems, in which the stabilization and improved performance play a crucial role. Due to the fact that the coefficient...
This paper presents a frequency method based on Nyquist's criterion to test the stability of ordinary differential equations (ODE) and fractional differential equations (FDE). Though these differential equations are in open loop, it is possible to apply Nyquist's criterion owing to the closed loop nature of the simulation scheme. This method also applies to systems with time delays, either in ODE...
This paper is concerned with the design problem of robust Hinfin reliable controller for nonlinear singular stochastic systems with actuator failures via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties. The objective is to design a state feedback fuzzy controller such that, for all...
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