modelling and subsequent closed-loop robust stability analyses for a fist order system with uncertain time-delay
نویسنده
چکیده
The paper deals with comparison of two principal approaches to uncertainty modelling and related robust stability analyses for a system with uncertain time-delay. A paper bleaching process, used as a testing plant, is described first as a system with parametric uncertainty and then in the form of unstructured multiplicative uncertainty model. The robust stability or instability of closed control loop with appropriate uncertain model of the controlled system and selected controller is verified and obtained results are compared. Moreover, the issue of conservatism in uncertainty description and in subsequent robust stability analysis is also discussed. Keywords—Uncertainty modelling, time-delay systems, parametric uncertainty, unstructured uncertainty, robust stability analysis.
منابع مشابه
Stability analysis and feedback control of T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay
In this paper, a new T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay, is presented to address the problems of stability analysis and feedback control. Fuzzy controller is designed based on the parallel distributed compensation (PDC), and with a new Lyapunov function, delay dependent asymptotic stability conditions of the closed-loop system are derived v...
متن کاملFractional order robust adaptive intelligent controller design for fractional-order chaotic systems with unknown input delay, uncertainty and external disturbances
In this paper, a fractional-order robust adaptive intelligent controller (FRAIC) is designed for a class of chaotic fractional order systems with uncertainty, external disturbances and unknown time-varying input time delay. The time delay is considered both constant and time varying. Due to changes in the equilibrium point, adaptive control is used to update the system's momentary information a...
متن کاملUncertainty Modelling in Time-Delay Systems: Parametric vs. Unstructured Approach
This contribution is focused on comparison of two basic approaches to uncertainty modelling and corresponding robust stability analyses for a system with uncertain time-delay. A paper bleaching process, described both as a system with parametric uncertainty and in the form of unstructured multiplicative uncertainty model, is considered as a testing plant. The robust stability of closed control ...
متن کاملModelling and Compensation of uncertain time-delays in networked control systems with plant uncertainty using an Improved RMPC Method
Control systems with digital communication between sensors, controllers and actuators are called as Networked Control Systems (NCSs). In general, NCSs encounter with some problems such as packet dropouts and network induced delays. When plant uncertainty is added to the aforementioned problems, the design of the robust controller that is able to guarantee the stability, becomes more complex. In...
متن کاملDelay-dependent stability for transparent bilateral teleoperation system: an LMI approach
There are two significant goals in teleoperation systems: Stability and performance. This paper introduces an LMI-based robust control method for bilateral transparent teleoperation systems in presence of model mismatch. The uncertainties in time delay in communication channel, task environment and model parameters of master-slave systems is called model mismatch. The time delay in communicatio...
متن کامل