Tracking Control of Networked and Quantized Control Systems

Abstract

This paper studies the tracking control problem of networked and quantized control systems under both multiple networks and event-triggered mechanisms. Multiple networks are to connect the plant and reference system with decentralized controllers to guarantee their information transmission, whereas event-triggered mechanisms are to reduce the information transmission via multiple networks. In this paper, all networks are independent and asynchronous and have local event-triggered mechanisms, which are based on local measurements and determine whether the local measurements need to be transmitted. We first implement an emulation-based approach to develop a novel hybrid model for tracking control of networked and quantized control systems. Next, sufficient conditions are derived and decentralized event-triggered mechanisms are designed to ensure the tracking performance. Finally, a numerical example is given to illustrate the obtained results.

Tracking Control of Nonlinear Networked and Quantized Control Systems With Communication Delays

“…That is, the controller depends on the outputs y p and y r , which is similar to the cases in previous works [8]- [11], [18]. In this case, the system modelling and tracking performance analysis in this paper can be proceeded along the similar fashion with a slight modification; see also [18], [29]. Remark 3: The quantizer satisfying Assumption 2 is an extension of zoom quantizer in [28] (see also Subsection VI-C) and includes many types of quantizers in the existing works [26], [27], [33], [36].…”

“…That is, the controller depends on the outputs y p and y r , which is similar to the cases in previous works [8]- [11], [18]. In this case, the system modelling and tracking performance analysis in this paper can be proceeded along the similar fashion with a slight modification; see also [18], [29].…”

“…The radius of such a region is related to the ISS nonlinear gain ϕ 1 , which is the function of the norm of e f , respectively. In the following, we further study the ISS gains obtained in Theorem 1, and develop the relation among the ISS nonlinear gain ϕ 1 (v) in (29), the MATI h mati , and the MAD h mad .…”

“…In addition, Lyapunov functions is constructed explicitly in this paper. Therefore, the result of [29] is recovered as a particular case. This paper is organized as follows.…”

“…A preliminary version of this work has been presented in the conference paper [29] where the zoom quantizer is considered and the reference trajectory is required to be convergent. The current paper extends the approach to consider general NQCSs with a more general quantizer and no constraints on the reference trajectory.…”