On stability of sampled-data extended state observer for networked systems

The problem of sampled-data state observation is considered in this work. A nonlinear continuous-time system with internal uncertainty and external disturbance is introduced, for which the sampled-data observation problem based on an extended state observer is formulated. We first introduce the framework of the observed system, in which the output measurement is sampled and transmitted to extended state observer periodically. Then based on this framework, the observation performance of the sampled-data extended state observer (SD-ESO) is investigated. For the observer considered, the uniformly ultimately bounded property has been guaranteed. Furthermore, a co-design method for the sample interval and high gain parameter of SD-ESO is provided to achieve the desired observation performance. The obtained theoretic results are validated through the numerical simulations.

[1]  B. Guo,et al.  On convergence of non-linear extended state observer for multi-input multi-output systems with uncertainty , 2012 .

[2]  Dawei Shi,et al.  On convergence of extended state observers for discrete-time nonlinear systems , 2015, 2015 34th Chinese Control Conference (CCC).

[3]  Bao-Zhu Guo,et al.  On active disturbance rejection control for nonlinear systems using time-varying gain , 2015, Eur. J. Control.

[4]  Koksal Erenturk,et al.  Fractional-Order $\hbox{PI}^{\lambda}\hbox{D}^{\mu}$ and Active Disturbance Rejection Control of Nonlinear Two-Mass Drive System , 2013, IEEE Transactions on Industrial Electronics.

[5]  Mo-Yuen Chow,et al.  Gain scheduler middleware: a methodology to enable existing controllers for networked control and teleoperation-part II: teleoperation , 2004, IEEE Transactions on Industrial Electronics.

[6]  Riccardo Scattolini,et al.  Model predictive control of continuous-time nonlinear systems with piecewise constant control , 2004, IEEE Transactions on Automatic Control.

[7]  Sanjay E. Talole,et al.  Extended-State-Observer-Based Control of Flexible-Joint System With Experimental Validation , 2010, IEEE Transactions on Industrial Electronics.

[8]  Han Jing-qing.  Stability Analysis and Synthesis of Third Order Discrete Extended State Observer , 2008 .

[9]  Xue Wenchao,et al.  ACTIVE DISTURBANCE REJECTION CONTROL:METHODOLOGY AND THEORETICAL ANALYSIS , 2011 .

[10]  Zhiqiang Gao,et al.  An Active Disturbance Rejection Control solution for hysteresis compensation , 2008, 2008 American Control Conference.

[11]  Nathan van de Wouw,et al.  Tracking Control for Nonlinear Networked Control Systems , 2014, IEEE Transactions on Automatic Control.

[12]  P. Olver.  Nonlinear Systems , 2013 .

[13]  Ning He,et al.  Event-Based Robust Sampled-Data Model Predictive Control: A Non-Monotonic Lyapunov Function Approach , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[14]  Wei Xing Zheng,et al.  Input-to-state stability for networked control systems via an improved impulsive system approach , 2011, Autom..

[15]  Martín Velasco-Villa,et al.  On the linear Active Rejection Control of Thomson's Jumping Ring , 2013, 2013 American Control Conference.

[16]  Panos J. Antsaklis,et al.  Special Issue on Technology of Networked Control Systems , 2007 .

[17]  Bao-Zhu Guo,et al.  On the convergence of an extended state observer for nonlinear systems with uncertainty , 2011, Syst. Control. Lett..

[18]  Bao-Zhu Guo,et al.  On Convergence of Nonlinear Active Disturbance Rejection Control for SISO Nonlinear Systems , 2016 .

[19]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[20]  Maurizio Cirrincione,et al.  Robust Active Disturbance Rejection Control of Induction Motor Systems Based on Additional Sliding-Mode Component , 2017, IEEE Transactions on Industrial Electronics.