Robust Exponential Stabilization for Uncertain Linear Non-autonomous Control Systems with Mixed Time-varying Delays and Nonlinear Perturbations
نویسنده
چکیده
This work addresses the problems of robust exponential stability and stabilization for uncertain linear non-autonomous control systems with discrete and distributed time-varying delays and nonlinear perturbations. Based on the combination of the Riccati differential equation approach and the Lyapunov-Krasovskii functional, new sufficient conditions are derived in terms of the solution of Riccati differential equations. Numerical examples illustrate the results are given.
منابع مشابه
Robust Exponential Stability for Uncertain Linear Non-Autonomous Systems with Discrete and Distributed Time-Varying Delays
This paper investigates the problems of robust exponential stability and stabilization for uncertain linear non-autonomous control systems with discrete and distributed time-varying delays. Based on combination of the Riccati differential equation approach, linear matrix inequality (LMI) techinque and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust e...
متن کاملAdaptive fuzzy pole placement for stabilization of non-linear systems
A new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. We use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. Then, we linearized this identified model at each sampling time to have an approximate linear time varying system. In order to stabilize...
متن کاملDelay-dependent robust stabilization and $H_{infty}$ control for uncertain stochastic T-S fuzzy systems with multiple time delays
In this paper, the problems of robust stabilization and$H_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the Takagi-Sugeno (T-S) fuzzymodel have been studied. By constructing a new Lyapunov-Krasovskiifunctional (LKF) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $H_{infty}$ control scheme are p...
متن کاملRobust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems
This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...
متن کاملGlobal Exponential Stabilization of Uncertain Switched Nonlinear Systems with Time-Varying Delays
This paper is concerned with the problem of robust exponential stabilization for a class of uncertain hybrid systems with mixed time-varying delays in both the state and control. By using a Lyapunov-Krasovskii functional, a memoryless switching controller design is proposed to guarantee the global exponential stabilization. Based on matrix inequality technique, we establish some new delay-depen...
متن کامل