H∞ sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters

Y.G Kao,W Li,H.R Karimi,C.H Wang,J Xie

doi:10.1016/j.ins.2015.03.047

Abstract

This paper is devoted to the investigation of H ∞ sliding mode control (SMC) for uncertain neutral stochastic systems with Markovian jumping parameters and time-varying delays. A sliding surface functional is firstly constructed. Then, the sliding mode control law is designed to guarantee the reachability of the sliding surface in a finite-time interval. The sufficient conditions for asymptotically stochastic stability of sliding mode dynamics with a given disturbance attenuation level are presented in terms of linear matrix inequalities (LMIs). Finally, an example is provided to illustrate the efficiency of the proposed method.

Highlights

Establishing the excitation spectrum of a composite system has historically been one of the most effective ways to determine the detailed nature of the interactions between its constituents
The spectrum of nucleon resonances remains poorly established with the basic properties and even the existence of many excited states uncertain
A major program of measurements utilizing polarized photon beams, polarized targets and final-state nucleon polarimeters is currently underway with the goal to achieve a “complete”, model-independent measurement of photoproduction reactions

Summary

Introduction

Establishing the excitation spectrum of a composite system has historically been one of the most effective ways to determine the detailed nature of the interactions between its constituents. In an attempt to address this shortcoming, real photon beams have been used to excite nucleon targets, providing accurate data to constrain partialwave analyses (PWA) and reaction models used to extract information on the excitation spectrum [6,7,8,9,10,11]. The process γ p → K +Λ has the lowest energy threshold for photoproduction reactions with final-state particles containing strange valence quarks This is a crucial channel as many models predict that some poorly established or “missing” resonances couple strongly to strange decay channels [12]. Disentangling the cause of the narrow structure in this mass region is likely to require accurate cross-section and polarization observables for a range of reaction channels

The experiment

Results and interpretation

Conclusions