Event-triggered high-gain observer design for nonlinear systems

In this work, an event-triggered high gain observer (ET-HGO) design is considered for a continuous-time nonlinear system combined with disturbance and uncertainty. In the event-trigger scheme, the performance of the ET-HGO depends on the triggering condition directly. Hence, in this work, for the high-gain observer considered, an event-triggered transmission strategy, which does not relies on the other system state but the output of the control system, is proposed such that the observation error is asymptotically bounded. Further, with mild restriction, the observation error is guaranteed to be bounded all the time. The obtained theoretical results are evaluated through the numerical simulations.

[1]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[2]  Paolo Mercorelli,et al.  A Two-Stage Sliding-Mode High-Gain Observer to Reduce Uncertainties and Disturbances Effects for Sensorless Control in Automotive Applications , 2015, IEEE Transactions on Industrial Electronics.

[3]  Hassan K. Khalil,et al.  Application of the extended high gain observer to underactuated mechanical systems , 2012, 2012 American Control Conference (ACC).

[4]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[5]  Robert J. Elliott,et al.  Event-based state estimation of discrete-state hidden Markov models , 2016, Autom..

[6]  Yeng Chai Soh,et al.  High-Gain Observers With Sliding Mode for State and Unknown Input Estimations , 2009, IEEE Transactions on Industrial Electronics.

[7]  Dawei Shi.  Event-Based State Estimation: A Stochastic Perspective , 2015 .

[8]  Hassan K. Khalil,et al.  High-gain observers in nonlinear feedback control , 2009, 2009 IEEE International Conference on Control and Automation.

[9]  Fumin Zhang,et al.  A high-gain adaptive observer for detecting Li-ion battery terminal voltage collapse , 2014, Autom..

[10]  Ling Shi,et al.  An event-triggered approach to state estimation with multiple point- and set-valued measurements , 2014, Autom..

[11]  Long Wang,et al.  Event-Based Second-Order Consensus Control for Multi-Agent Systems via Synchronous Periodic Event Detection , 2015, IEEE Transactions on Automatic Control.

[12]  Zhiwei Gao,et al.  High-Gain Observer-Based Estimation of Parameter Variations With Delay Alignment , 2012, IEEE Transactions on Automatic Control.

[13]  Françoise Lamnabhi-Lagarrigue,et al.  High gain observer design for some networked control systems , 2010 .

[14]  Ling Shi,et al.  On Set-Valued Kalman Filtering and Its Application to Event-Based State Estimation , 2015, IEEE Transactions on Automatic Control.

[15]  Antoine Girard,et al.  Dynamic Triggering Mechanisms for Event-Triggered Control , 2013, IEEE Transactions on Automatic Control.

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

[17]  Tongwen Chen,et al.  Sampled-data consensus in switching networks of integrators based on edge events , 2015, Int. J. Control.

[18]  Ling Shi,et al.  Event-triggered maximum likelihood state estimation , 2014, Autom..

[19]  Asgeir J. Sørensen,et al.  Output feedback motion control system for observation class ROVs based on a high-gain state observer: Theoretical and experimental results , 2015 .

[20]  Hassan Hammouri,et al.  High Gain Observer for Structured Multi-Output Nonlinear Systems , 2010, IEEE Transactions on Automatic Control.

[21]  Amiya K. Jana,et al.  High gain observer based extended generic model control with application to a reactive distillation column , 2014 .

[22]  Ling Shi,et al.  Event-Based State Estimation , 2016 .