Finite-Time Global Stabilization by Means of Time-Varying Distributed Delay Feedback
SIAM Journal on Control and Optimization
Brief paper: Adaptive backstepping control of uncertain systems with unknown input time-delay
Automatica (Journal of IFAC)
Brief paper: Control under quantization, saturation and delay: An LMI approach
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Technical Communique: Effects of small delays on stability of singularly perturbed systems
Automatica (Journal of IFAC)
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
Automatica (Journal of IFAC)
Design of large-scale time-delayed systems with dead-zone input via variable structure control
Automatica (Journal of IFAC)
Hi-index | 22.14 |
Sliding Mode Control (SMC) in the presence of small, unavoidable input delay as may be present in controller implementation is studied. Linear systems with bounded matched disturbances and uncertain system matrices are considered, where input delay in the SMC will produce oscillations or potentially even unbounded solutions. Without a priori knowledge of the bounds on the state-dependent terms as required by existing methods, the design objective is to achieve ultimate boundedness of the closed-loop system with a bound proportional to the delay and disturbance bounds. This is a non-trivial problem because the relay gain depends on the state bound, whereas the latter bound depends on the relay gain. A controller with linear gain proportional to the scalar 1@m is proposed, which for small enough @m0 produces a closed-loop singularly perturbed system and yields the desired ultimate bound. A constructive Linear Matrix Inequality (LMI)-based solution for evaluation of both the design parameters and the ultimate bound is derived. The superiority of the proposed control over existing methodologies that ignore input delay within the design is demonstrated through an example.