Network-based passive estimation for switched complex dynamical networks under persistent dwell-time with limited signals

Abstract In this paper, the state estimation issue for a set of switched complex dynamic networks affected by quantization is studied, in which the switching process is assumed to follow persistent dwell-time switching regulation. Thereinto, the switching regulation aforementioned describes the switchings among different parameters on complex dynamic networks. Meanwhile, for the network-based model, in the communication channels from the sensor to the estimator, quantization is inevitable to be taken into consideration. To track partially inaccessible information in the target system, a state estimator is thoroughly reconstructed. Intensive attention is that a set of sufficient conditions can be derived by using some simple matrix transformation methods, linear matrix inequality and Lyapunov stability theory, to further assure the error dynamic obtained is globally uniformly exponentially stable and meets passive property. The serviceability of the state estimator gains solved is finally verified and the effectiveness of the proposed design approach is further illustrated.

[1]  Leszek Rutkowski,et al.  Sliding-Mode Control for Slow-Sampling Singularly Perturbed Systems Subject to Markov Jump Parameters , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Jing Wang,et al.  Reachable set estimation for Markov jump LPV systems with time delays , 2020, Appl. Math. Comput..

[3]  Haibo He,et al.  Synchronization of complex-valued dynamic networks with intermittently adaptive coupling: A direct error method , 2020, Autom..

[4]  João Pedro Hespanha,et al.  Uniform stability of switched linear systems: extensions of LaSalle's Invariance Principle , 2004, IEEE Transactions on Automatic Control.

[5]  Xiaona Song,et al.  Robust distributed state estimation for Markov coupled neural networks under imperfect measurements , 2020, J. Frankl. Inst..

[6]  Jing Wang,et al.  Sampled-data H∞ exponential synchronization for delayed semi-Markov jump CDNs: A looped-functional approach , 2020, Appl. Math. Comput..

[7]  Jing Wang,et al.  Reachable set estimation of delayed fuzzy inertial neural networks with Markov jumping parameters , 2020, J. Frankl. Inst..

[8]  Zidong Wang,et al.  Synchronization and State Estimation for Discrete-Time Complex Networks With Distributed Delays , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[9]  Jing Wang,et al.  Asynchronous dissipative filtering for nonlinear jumping systems subject to fading channels , 2020, J. Frankl. Inst..

[10]  Chee Peng Lim,et al.  Synchronization of discrete-time Markovian jump complex dynamical networks with random delays via non-fragile control , 2016, J. Frankl. Inst..

[11]  Jing Wang,et al.  Finite-time non-fragile l2-l∞ control for jumping stochastic systems subject to input constraints via an event-triggered mechanism , 2018, J. Frankl. Inst..

[12]  Panos J. Antsaklis,et al.  Static and dynamic quantization in model-based networked control systems , 2007, Int. J. Control.

[13]  Fuad E. Alsaadi,et al.  Event-triggered H∞ state estimation for state-saturated complex networks subject to quantization effects and distributed delays , 2018, J. Frankl. Inst..

[14]  Jianwei Xia,et al.  Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization , 2019, Appl. Math. Comput..

[15]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[16]  Hao Shen,et al.  On dissipativity‐based filtering for discrete‐time switched singular systems with sensor failures: a persistent dwell‐time scheme , 2019, IET Control Theory & Applications.

[17]  Albert-László Barabási,et al.  Internet: Diameter of the World-Wide Web , 1999, Nature.

[18]  Shumin Fei,et al.  Adaptive event-triggered synchronization control for complex networks with quantization and cyber-attacks , 2020, Neurocomputing.

[19]  Ju H. Park,et al.  Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control , 2013, Int. J. Control.

[20]  Jing Wang,et al.  Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems , 2020, Appl. Math. Comput..

[21]  Jun Wang,et al.  Non-fragile memory filtering of T-S fuzzy delayed neural networks based on switched fuzzy sampled-data control , 2020, Fuzzy Sets Syst..

[22]  David J. Murray-Smith,et al.  Disturbance Observer Design for Nonlinear Systems Represented by Input–Output Models , 2020, IEEE Transactions on Industrial Electronics.

[23]  Jinde Cao,et al.  Multiobjective Fault-Tolerant Control for Fuzzy Switched Systems With Persistent Dwell Time and Its Application in Electric Circuits , 2020, IEEE Transactions on Fuzzy Systems.

[24]  Jing Wang,et al.  Passive gain-scheduling filtering for jumping linear parameter varying systems with fading channels based on the hidden Markov model , 2018, J. Syst. Control. Eng..

[25]  Hao Shen,et al.  Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems , 2019, Appl. Math. Comput..

[26]  Yuan Yan Tang,et al.  Nonfragile asynchronous control for uncertain chaotic Lurie network systems with Bernoulli stochastic process , 2018 .

[27]  Chuangxia Huang,et al.  Finite-time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control , 2020, Appl. Math. Comput..

[28]  Ju H. Park,et al.  Output‐feedback stabilization for planar output‐constrained switched nonlinear systems , 2020, International Journal of Robust and Nonlinear Control.

[29]  Jinde Cao,et al.  Stability and Stabilization in Probability of Probabilistic Boolean Networks , 2021, IEEE Transactions on Neural Networks and Learning Systems.

[30]  Tong Lu,et al.  Fault detection for switched systems with all modes unstable based on interval observer , 2020, Inf. Sci..

[31]  Jianwei Xia,et al.  Design of a fault-tolerant output-feedback controller for thickness control in cold rolling mills , 2020, Appl. Math. Comput..

[32]  Peng Shi,et al.  Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering , 2016 .

[33]  Daniel W. C. Ho,et al.  Partial-information-based synchronization analysis for complex dynamical networks , 2015, J. Frankl. Inst..

[34]  Jing Wang,et al.  Passive state estimation for fuzzy jumping neural networks with fading channels based on the hidden Markov model , 2019 .

[35]  Bart De Schutter,et al.  A novel Lyapunov function for a non-weighted L2 gain of asynchronously switched linear systems , 2018, Autom..

[36]  Jun Wang,et al.  Reliable asynchronous sampled-data filtering of T-S fuzzy uncertain delayed neural networks with stochastic switched topologies , 2020, Fuzzy Sets Syst..

[37]  Hao Shen,et al.  Asynchronous dissipative filtering for Markov jump discrete-time systems subject to randomly occurring distributed delays , 2019, J. Frankl. Inst..

[38]  Jiguo Yu,et al.  Adaptive fault-tolerant consensus for a class of leader-following systems using neural network learning strategy , 2020, Neural Networks.

[39]  Jian Xiao,et al.  Stabilization of switched continuous-time systems with all modes unstable via dwell time switching , 2014, Autom..

[40]  Jinde Cao,et al.  Stabilization of Boolean Control Networks Under Aperiodic Sampled-Data Control , 2018, SIAM J. Control. Optim..

[41]  RATHINASAMY SAKTHIVEL,et al.  Observer-based dissipative control for networked control systems: A switched system approach , 2015, Complex..

[42]  Dezhen Zhang,et al.  Robust fault detection and estimation observer design for switched systems , 2019, Nonlinear Analysis: Hybrid Systems.

[43]  Young Hoon Joo,et al.  Adaptive Synchronization of Reaction–Diffusion Neural Networks and Its Application to Secure Communication , 2020, IEEE Transactions on Cybernetics.

[44]  Hao Shen,et al.  Generalised dissipative asynchronous output feedback control for Markov jump repeated scalar non‐linear systems with time‐varying delay , 2019, IET Control Theory & Applications.

[45]  Xiangze Lin,et al.  Finite‐time boundedness of switched systems with time‐varying delays via sampled‐data control , 2020, International Journal of Robust and Nonlinear Control.

[46]  Zhen Wang,et al.  Quantized asynchronous dissipative state estimation of jumping neural networks subject to occurring randomly sensor saturations , 2018, Neurocomputing.

[47]  Dean Zhao,et al.  Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint , 2019, Appl. Math. Comput..

[48]  Jing Wang,et al.  Mixed H∞/l2-l∞ state estimation for switched genetic regulatory networks subject to packet dropouts: A persistent dwell-time switching mechanism , 2019, Appl. Math. Comput..