Fault-tolerant adaptive control of nonlinear base-isolated buildings using EMRAN

Abstract This paper presents a direct adaptive fault-tolerant neural control scheme for the active control of nonlinear hysteretic base-isolated buildings using the recently developed Extended Minimal Resource Allocation Network (EMRAN). EMRAN is a learning algorithm in which the structure of the neural controller is adapted on-line based on the input–output data. EMRAN starts with no hidden neurons and calculates the number of hidden neurons based on growing/pruning criteria. If the criteria are not met, then the parameters of the network are adjusted using an Extended Kalman Filter (EKF). The constants associated with the growing/pruning criteria and EKF are estimated using Genetic Algorithm (GA) optimization. The advantage of the proposed control architecture is its ability to learn on-line with no a priori training. Most of the existing studies in structural control using neural networks require computationally intensive off-line training. Consequently, once the network parameters are learnt, the parameters remain fixed. Such procedures require an accurate mathematical model of the system. These issues are addressed in the current controller scheme by utilizing the on-line adaptation capabilities of the neural networks. The advantages of on-line adaptation are demonstrated using the controller’s capability to handle actuator failures and system uncertainties. Performance of the proposed control scheme is evaluated using the recently developed nonlinear three-dimensional base-isolated benchmark structure incorporating lateral–torsional superstructure behavior and the biaxial interaction of the nonlinear bearings in the isolation layer. Results show that the proposed controller scheme can achieve the desired performance objectives under both partial actuator failure conditions and large uncertainties associated with the system’s parameters.

[1]  Alok Madan General Approach for Training Back-Propagation Neural Networks in Vibration Control of Multidegree-of-Freedom Structures , 2006 .

[2]  Yan Li,et al.  Analysis of minimal radial basis function network algorithm for real-time identification of nonlinear dynamic systems , 2000 .

[3]  I. J. Leontaritis,et al.  Input-output parametric models for non-linear systems Part II: stochastic non-linear systems , 1985 .

[4]  K. S. Narendra,et al.  Neural networks for control theory and practice , 1996, Proc. IEEE.

[5]  Christopher R. Houck,et al.  A Genetic Algorithm for Function Optimization: A Matlab Implementation , 2001 .

[6]  Erik A. Johnson,et al.  Smart base‐isolated benchmark building. Part I: problem definition , 2006 .

[7]  Andrei M. Reinhorn,et al.  Control of Sliding-Isolated Buildings Using Sliding-Mode Control , 1996 .

[8]  Henry T. Y. Yang,et al.  Neural Networks for Sensor Fault Correction in Structural Control , 1999 .

[9]  Hyung-Jo Jung,et al.  Semi‐active neurocontrol of a base‐isolated benchmark structure , 2006 .

[10]  Erik A. Johnson,et al.  Smart base‐isolated benchmark building part IV: Phase II sample controllers for nonlinear isolation systems , 2006 .

[11]  Andrew W. Smyth,et al.  New Approach to Designing Multilayer Feedforward Neural Network Architecture for Modeling Nonlinear Restoring Forces. I: Formulation , 2006 .

[12]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[13]  D. Broomhead,et al.  Radial Basis Functions, Multi-Variable Functional Interpolation and Adaptive Networks , 1988 .

[14]  Michael C. Constantinou,et al.  Nonlinear Dynamic Analysis of 3‐D‐Base‐Isolated Structures , 1991 .

[15]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1992, Artificial Intelligence.

[16]  Robert J. Renka,et al.  Algorithm 751: TRIPACK: a constrained two-dimensional Delaunay triangulation package , 1996, TOMS.

[17]  Erik A. Johnson,et al.  Smart base‐isolated benchmark building Part III: a sample controller for bilinear isolation , 2006 .

[18]  Manuel de la Sen,et al.  Output feedback sliding mode control of base isolated structures , 2000, J. Frankl. Inst..

[19]  Dean T. Mook,et al.  Neural‐network control of building structures by a force‐matching training scheme , 1999 .

[20]  David S. Broomhead,et al.  Multivariable Functional Interpolation and Adaptive Networks , 1988, Complex Syst..

[21]  Satish Nagarajaiah,et al.  Detecting Sensor Failure via Decoupled Error Function and Inverse Input–Output Model , 2007 .

[22]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

[23]  Satish Nagarajaiah,et al.  Fault Tolerant Neural Aided Controller for Multi Degree of Freedom Structures Experiencing Online Sensor Failure , 2008 .

[24]  Narasimhan Sundararajan,et al.  Direct Adaptive Neural Flight Controller for F-8 Fighter Aircraft , 2006 .

[25]  S. Narasimhan,et al.  On-Line Learning Failure-Tolerant Neural-Aided Controller for Earthquake Excited Structures , 2008 .

[26]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[27]  Francesc Pozo,et al.  Adaptive Backstepping Control of Hysteretic Base-Isolated Structures , 2006 .

[28]  Fereidoun Amini,et al.  Neural Network for Structure Control , 1995 .

[29]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[30]  Paramasivan Saratchandran,et al.  Performance evaluation of a sequential minimal radial basis function (RBF) neural network learning algorithm , 1998, IEEE Trans. Neural Networks.

[31]  Jamshid Ghaboussi,et al.  Active Control of Structures Using Neural Networks , 1995 .

[32]  Y Lu,et al.  A Sequential Learning Scheme for Function Approximation Using Minimal Radial Basis Function Neural Networks , 1997, Neural Computation.

[33]  S. Masri,et al.  Application of Neural Networks for Detection of Changes in Nonlinear Systems , 2000 .

[34]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[35]  Satish Nagarajaiah,et al.  Actuator Failure Detection Through Interaction Matrix Formulation , 2005 .

[36]  José Rodellar,et al.  Adaptive control of a hysteretic structural system , 2005, Autom..

[37]  Khaldoon A. Bani-Hani,et al.  NONLINEAR STRUCTURAL CONTROL USING NEURAL NETWORKS , 1998 .

[38]  John Moody,et al.  Fast Learning in Networks of Locally-Tuned Processing Units , 1989, Neural Computation.

[39]  Narasimhan Sundararajan,et al.  A fault-tolerant neural aided controller for aircraft auto-landing , 2006 .

[40]  Philipp Slusallek,et al.  Introduction to real-time ray tracing , 2005, SIGGRAPH Courses.

[41]  Hojjat Adeli,et al.  Counterpropagation Neural Network Model for Steel Girder Bridge Structures , 2004 .

[42]  Jann N. Yang,et al.  H∞‐based control strategies for civil engineering structures , 2003 .

[43]  John C. Platt A Resource-Allocating Network for Function Interpolation , 1991, Neural Computation.

[44]  B. F. Spencer,et al.  STATE OF THE ART OF STRUCTURAL CONTROL , 2003 .

[45]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1989, Math. Control. Signals Syst..