Adaptive control of a continuous-time system with time-varying input delay
Systems & Control Letters
Bounded controllers for robust exponential convergence
Journal of Optimization Theory and Applications
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
An application of optimal control theory to river pollution remediation
Applied Numerical Mathematics
Robust stabilization of linear differential inclusion system with time delay
Mathematics and Computers in Simulation
Automatica (Journal of IFAC)
Mathematical and Computer Modelling: An International Journal
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
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The problem of adaptive robust control for uncertain linear systems with multiple delays occurring in the state variables is studied in this paper. The essential requirement for the uncertainties is that they satisfy matching conditions and are norm-bounded, but the bounds of the uncertainties are not necessarily known. An adaptive controller is developed based on linear matrix inequality technique and it is shown that the controller can guarantee the state variables of the closed loop system to converge, globally, uniformly and exponentially, to a ball in the state space with any pre-specified convergence rate. The effectiveness of our approach has been verified by its application in the control of river pollution process for the purpose of preserving standards of water constituents in streams.