Mode-dependent event-triggered tracking control for uncertain semi-Markov systems with application to vertical take-off and landing helicopter

The aim of this manuscript is to tackle the tracking problem for uncertain semi-Markov systems. More precisely, the mode-dependent event-triggering communication approach is introduced for networked controller design procedure, which can considerably increase the signal transmission efficiency. Based on the Lyapunov–Krasovski method, mode-dependent sufficient conditions are derived and the tracking errors could achieve the asymptotic mean-square stability, and mode-dependent controllers could be further calculated by convex optimization. A numerical simulation with application to vertical take-off and landing helicopter would be performed for verifying the availability and usefulness.

[1]  Peng Shi,et al.  Passivity-Based Asynchronous Control for Markov Jump Systems , 2017, IEEE Transactions on Automatic Control.

[2]  Dan Ye,et al.  A Separated Approach to Control of Markov Jump Nonlinear Systems With General Transition Probabilities , 2016, IEEE Transactions on Cybernetics.

[3]  El Kebir Boukas,et al.  A singular system approach to robust sliding mode control for uncertain Markov jump systems , 2009, Autom..

[4]  Wenhai Qi,et al.  Observer-Based Adaptive SMC for Nonlinear Uncertain Singular Semi-Markov Jump Systems With Applications to DC Motor , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Xinghuo Yu,et al.  Survey on Recent Advances in Networked Control Systems , 2016, IEEE Transactions on Industrial Informatics.

[6]  Nathan van de Wouw,et al.  Networked Control Systems With Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance , 2010, IEEE Transactions on Automatic Control.

[7]  Wen-an Zhang,et al.  Output Feedback Stabilization of Networked Control Systems With Packet Dropouts , 2007, IEEE Transactions on Automatic Control.

[8]  Lihua Xie,et al.  Output feedback H∞ control of systems with parameter uncertainty , 1996 .

[9]  Erdinç Altuğ,et al.  Design and implementation of a hybrid fuzzy logic controller for a quadrotor VTOL vehicle , 2012 .

[10]  Patrizio Colaneri,et al.  Almost Sure Stability of Markov Jump Linear Systems With Deterministic Switching , 2013, IEEE Transactions on Automatic Control.

[11]  Zhi-Hong Guan,et al.  Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays , 2003, IEEE Trans. Autom. Control..

[12]  Shen Yan,et al.  Nonfragile H∞ output feedback control of linear systems with an event-triggered scheme against unreliable communication links. , 2019, ISA transactions.

[13]  Mo-Yuen Chow,et al.  Networked Control System: Overview and Research Trends , 2010, IEEE Transactions on Industrial Electronics.

[14]  K. Narendra,et al.  Identification and Optimization of Aircraft Dynamics , 1973 .

[15]  Nan Xiao,et al.  Feedback Stabilization of Discrete-Time Networked Systems Over Fading Channels , 2012, IEEE Transactions on Automatic Control.

[16]  Hongsheng Xi,et al.  Markovian-Based Fault-Tolerant Control for Wheeled Mobile Manipulators , 2012, IEEE Transactions on Control Systems Technology.

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

[18]  James Lam,et al.  Stabilization of Networked Control Systems With a Logic ZOH , 2009, IEEE Transactions on Automatic Control.

[19]  Helene Piet-Lahanier,et al.  A hierarchical controller for miniature VTOL UAVs: Design and stability analysis using singular perturbation theory , 2011 .

[20]  Yang Shi,et al.  Stochastic stability and robust stabilization of semi‐Markov jump linear systems , 2013 .

[21]  Eloy García,et al.  Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays , 2013, IEEE Transactions on Automatic Control.

[22]  Panos J. Antsaklis,et al.  On the model-based control of networked systems , 2003, Autom..

[23]  H.R. Pota,et al.  Decentralized control of power systems via robust control of uncertain Markov jump parameter systems , 2005, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[24]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[25]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Control Systems , 2011, IEEE Transactions on Automatic Control.

[26]  Jing Wang,et al.  Passivity-based fault-tolerant synchronization control of chaotic neural networks against actuator faults using the semi-Markov jump model approach , 2014, Neurocomputing.

[27]  Ju H. Park,et al.  Finite-time synchronization control for uncertain Markov jump neural networks with input constraints , 2014, Nonlinear Dynamics.

[28]  Xiaowu Mu,et al.  Event-triggered control for networked nonlinear semi-Markovian jump systems with randomly occurring uncertainties and transmission delay , 2019, Inf. Sci..

[29]  Peng Shi,et al.  A survey on Markovian jump systems: Modeling and design , 2015 .

[30]  Xiaowu Mu,et al.  H∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme , 2019, International Journal of Robust and Nonlinear Control.

[31]  Ligang Wu,et al.  State estimation and sliding mode control for semi-Markovian jump systems with mismatched uncertainties , 2015, Autom..