Robust control of a class of nonlinear systems
Robust ESO two-degree-of-freedom control design for permanent magnet synchronous motor.
Robust impedance control of a piezoelectric stage under thermal and external load disturbances
Robust quasi NID aircraft 3D flight control under sensor noise
In the paper the design of an aircraft motion controller based on the Dynamic Contraction Method is presented. The control task is formulated as a tracking problem for Euler angles, where the desired decoupled output transients are accomplished under assumption of high-level, high-frequency sensor noise and incomplete information about varying parameters of the system and external disturbances. The resulting controller has a simple form of a combination of a low-order linear dynamical system and...
Robust stabilization of nonlinear systems: The LMI approach.
Robustness of solutions of linear differential equations with infinite delay.
Robustness with respect to disturbance model uncertainty: Theory and application to autopilot performance analysis.
Singular perturbations for systems of differential inclusions
We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.
Stabilization of discrete-time control systems with multiple state delays.
Stabilization of linear continuous time-varying systems with state delays in Hilbert spaces.
Statistical-learning control of multiple-delay systems with application to ATM networks
Congestion control in the ABR class of ATM network presents interesting challenges due to the presence of multiple uncertain delays. Recently, probabilistic methods and statistical learning theory have been shown to provide approximate solutions to challenging control problems. In this paper, using some recent results by the authors, an efficient statistical algorithm is used to design a robust, fixed-structure, controller for a high-speed communication network with multiple uncertain propagation...
System identification from multiple-trial data corrupted by non-repeating periodic disturbances
Iterative learning and repetitive control aim to eliminate the effect of unwanted disturbances over repeated trials or cycles. The disturbance-free system model, if known, can be used in a model-based iterative learning or repetitive control system to eliminate the unwanted disturbances. In the case of periodic disturbances, although the unknown disturbance frequencies may be the same from trial to trial, the disturbance amplitudes, phases, and biases do not necessarily repeat. Furthermore, the...
Theory and computation of disturbance invariant sets for discrete-time linear systems.
Two-point oscillatory solutions to system with relay hysteresis and nonperiodic external disturbance
We study an -dimensional system of ordinary differential equations with a constant matrix, a relay-type nonlinearity, and an external disturbance in the right-hand side. We consider a nonideal relay characteristic. The external disturbance is described by the product of an exponential function and a sine function with an initial phase as a parameter. We assume the matrix of the linear part and the vector at the relay characteristic such that, by a nonsingular transformation, the system is reduced...
Unveiling uncertain forces in second-order driven oscillators via internal model: a discrete-time feedback.