Finite-Iteration Tracking of Singular Coupled Systems Based on Learning Control With Packet Losses

The finite-iteration tracking for singular coupled systems with packet-dropping learning controllers is discussed in this paper. The singular coupled systems are constructed to describe systems with some algebraic constraints, and iterative learning controllers are then designed to achieve the finite-iteration tracking of singular systems. The definition of the finite-iteration tracking is first proposed and the settling iteration is explicitly calculated. Moreover, the iterative learning controllers are designed to consider the case of packet losses. Simulation results are given to elaborate the correctness of the given theorems.

[1]  Ying Tan,et al.  Unified iterative learning control schemes for nonlinear dynamic systems with nonlinear input uncertainties , 2012, Autom..

[2]  Daniel W. C. Ho,et al.  Generalized quadratic stability for continuous-time singular systems with nonlinear perturbation , 2006, IEEE Transactions on Automatic Control.

[3]  Huaguang Zhang,et al.  Fault-Tolerant Controller Design for a Class of Nonlinear MIMO Discrete-Time Systems via Online Reinforcement Learning Algorithm , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[4]  Shengyuan Xu,et al.  Robust stability and stabilization of discrete singular systems: an equivalent characterization , 2004, IEEE Transactions on Automatic Control.

[5]  Senping Tian,et al.  A PD-type iterative learning control algorithm for singular discrete systems , 2016, Advances in Difference Equations.

[6]  Huijun Gao,et al.  State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems , 2010, IEEE Transactions on Automatic Control.

[7]  Suguru Arimoto,et al.  Bettering operation of Robots by learning , 1984, J. Field Robotics.

[8]  Terry L. Friesz,et al.  A Simulated Annealing Approach to the Network Design Problem with Variational Inequality Constraints , 1992, Transp. Sci..

[9]  Junmin Li,et al.  Adaptive iterative learning control for coordination of second‐order multi‐agent systems , 2014 .

[10]  Senping Tian,et al.  Iterative learning control for a class of discrete-time singular systems , 2018 .

[11]  Goele Pipeleers,et al.  A Data-Driven Constrained Norm-Optimal Iterative Learning Control Framework for LTI Systems , 2013, IEEE Transactions on Control Systems Technology.

[12]  Qingling Zhang,et al.  Sliding-Mode Control for Singular Markovian Jump Systems With Brownian Motion Based on Stochastic Sliding Mode Surface , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[13]  Derong Liu,et al.  Value Iteration Adaptive Dynamic Programming for Optimal Control of Discrete-Time Nonlinear Systems , 2016, IEEE Transactions on Cybernetics.

[14]  Shengyuan Xu,et al.  Robust stability and stabilization for singular systems with state delay and parameter uncertainty , 2002, IEEE Trans. Autom. Control..

[15]  Xuhui Bu,et al.  Adaptive Iterative Learning Control for Linear Systems With Binary-Valued Observations , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[16]  Jinde Cao,et al.  A Distributed Finite-Time Consensus Algorithm for Higher-Order Leaderless and Leader-Following Multiagent Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[17]  Ying Tan,et al.  Optimal iterative learning control design for multi-agent systems consensus tracking , 2014, Syst. Control. Lett..

[18]  Kevin L. Moore,et al.  Learning to cooperate: Networks of formation agents with switching topologies , 2016, Autom..

[19]  Y. Niu,et al.  Robust finite-time bounded control for discrete-time stochastic systems with communication constraint , 2015 .

[20]  Xuhui Bu,et al.  Model Free Adaptive Iterative Learning Consensus Tracking Control for a Class of Nonlinear Multiagent Systems , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[21]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems , 2005, IEEE Transactions on Automatic Control.

[22]  Xinghuo Yu,et al.  Iterative learning control for discrete-time systems with event-triggered transmission strategy and quantization , 2016, Autom..

[23]  Masayoshi Tomizuka,et al.  An Iterative Learning Control design for Self-ServoWriting in Hard Disk Drives , 2010 .

[24]  E. Rogers,et al.  Iterative learning control for discrete-time systems with exponential rate of convergence , 1996 .

[25]  Frank L. Lewis,et al.  Discrete-Time Local Value Iteration Adaptive Dynamic Programming: Convergence Analysis , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[26]  Danwei Wang,et al.  Data-driven optimal terminal iterative learning control with initial value dynamic compensation , 2016 .

[27]  Roberto Horowitz,et al.  A new adaptive learning rule , 1991 .

[28]  Raymond A. de Callafon,et al.  An iterative learning design for repeatable runout cancellation in disk drives , 2006, IEEE Transactions on Control Systems Technology.

[29]  Long Wang,et al.  Finite-time formation control for multi-agent systems , 2009, Autom..

[30]  Yueying Wang,et al.  Exponential $H_{\infty}$ Filtering for Singular Markovian Jump Systems With Mixed Mode-Dependent Time-Varying Delay , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[31]  Kevin L. Moore,et al.  A Practical Iterative Learning Path‐Following Control Of An Omni‐Directional Vehicle , 2008 .

[32]  Jinde Cao,et al.  Synchronization analysis of singular hybrid coupled networks , 2008 .

[33]  Miao Yu,et al.  Robust Adaptive Iterative Learning Control for Discrete-Time Nonlinear Systems With Time-Iteration-Varying Parameters , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[34]  Yuzhen Wang,et al.  An undecomposed approach to control design for a class of nonlinear descriptor systems , 2013 .

[35]  Xinghuo Yu,et al.  Quantized Iterative Learning Consensus Tracking of Digital Networks With Limited Information Communication , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Junping Du,et al.  Robust Consensus Tracking Control for Multiagent Systems With Initial State Shifts, Disturbances, and Switching Topologies , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[37]  Francesco Viti,et al.  The Cost of Environmental Constraints in Traffic Networks: Assessing the Loss of Optimality , 2016 .

[38]  Wei He,et al.  Dual-Loop Adaptive Iterative Learning Control for a Timoshenko Beam With Output Constraint and Input Backlash , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[39]  Yugang Niu,et al.  Design of Sliding Mode Control Subject to Packet Losses , 2010, IEEE Transactions on Automatic Control.

[40]  Shangtai Jin,et al.  Data-driven terminal iterative learning control with high-order learning law for a class of non-linear discrete-time multiple-input–multiple output systems , 2015 .

[41]  Junqi Yang,et al.  Stability analysis of quantized iterative learning control systems using lifting representation , 2017 .