Robust output-feedback control for uncertain linear sampled-data systems: A 2D impulsive system approach

Abstract

This paper deals with the sampled-data control problem based on state estimation for uncertain linear sampled-data systems. It is possible to show that the sampled-data control problem based on state estimation may be related with the conditions for the exponential stability of impulsive systems. Thus, a vector Lyapunov function-based approach, derived by means of a 2D time domain equivalence, is used for obtaining stability conditions of an impulsive system, and then, a solution to the observer-based control design problem is derived and expressed in terms of LMIs. Some examples illustrate the feasibility of the proposed approach.

Continuous‐discrete high gain observer design with PI output predictor

“…16 In recent years, the design focus of impulsive observers has been on how to design appropriate Lyapunov functions. 17,18 Event triggered sampled-data impulsive observers have also been developed(see the work of Song et al, 19 Etienne et al 20 ). The main feature of this method relies on its simplicity, however the estimated states provided by the observer will be affected by large jumps at the sampling times.…”

“…The earliest work based on this method was proposed by Deza et al 15 Nadri and Hammouri et al designed impulsive observers for a class of state affine systems 16 . In recent years, the design focus of impulsive observers has been on how to design appropriate Lyapunov functions 17,18 . Event triggered sampled‐data impulsive observers have also been developed(see the work of Song et al, 19 Etienne et al 20 ).…”

Time‐triggered intermittent control of continuous systems

“…Enlarging sampling periods and changing triggered mechanisms are two effective ways to reduce transmitted data for improving network resource utilization. In order to enlarge sampling periods, many researchers devote to seeking an admissible maximum sampling period by various methods such as input‐delay approaches, 28‐33 impulsive system formulations, 34‐36 discrete‐time approaches, 37‐40 and looped‐functional idea 41‐45 . However, this way can decrease the transmitted data but increase the time at which the state has entered and remained within a specified error band () of steady‐state value, especially with a sampling period closing to an analytic bound.…”

Nonlinear lateral motion stability control method for electric vehicle based on the combination of dual extended state observer and domination approach via sampled-data output feedback

“…Sampled-data system is a hybrid system that involves both continuous-time and discrete-time signals. The sampled-data systems (or digital control systems) have been developed in recent years (Chu et al, 2016; Du et al, 2019; Meng et al, 2018c; Qian and Du, 2012; Rios et al, 2019; Su et al, 2018). The sampled-data system can effectively suppress the disturbances and nonlinear items, and achieves higher control precision.…”