Finite-Time Global Stabilization by Means of Time-Varying Distributed Delay Feedback
SIAM Journal on Control and Optimization
Forwarding, backstepping, and finite spectrum assignment for time delay systems
Automatica (Journal of IFAC)
Brief paper: Adaptive trajectory tracking despite unknown input delay and plant parameters
Automatica (Journal of IFAC)
Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay
ACC'09 Proceedings of the 2009 conference on American Control Conference
Adaptive posicast controller for time-delay systems with relative degree n*≤2
Automatica (Journal of IFAC)
Recursive predictor design for state and output feedback controllers for linear time delay systems
Automatica (Journal of IFAC)
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
Truncated predictor feedback for linear systems with long time-varying input delays
Automatica (Journal of IFAC)
Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations
Automatica (Journal of IFAC)
An extension of the prediction scheme to the case of systems with both input and state delay
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
The problem of compensation of input delays for unstable linear systems was solved in the late 1970s. Systems with simultaneous input and state delay have remained a challenge, although exponential stabilization has been solved for systems that are not exponentially unstable, such as chains of delayed integrators and systems in the 'feedforward' form. We consider a general system in strict-feedback form with delayed integrators, which is an example of a particularly challenging class of exponentially unstable systems with simultaneous input and state delays, and design a predictor feedback controller for this class of systems. Exponential stability is proven with the aid of a Lyapunov-Krasovskii functional that we construct using the PDE backstepping approach.