In this note, a fault-tolerant control strategy is proposed from a robust control perspective by applying the recently introduced GIMC (Generalized Internal Mode Control) architecture. This fault-tolerant control design consists of two parts: a nominal performance controller and a robustness controller, and works in such way that when a sensor failure is detected, the controller structure is re...

Robust control systems synthesis is generally recast as a class of robust feasibility problems which is to find a solution satisfying a set of parameter-dependent convex constraints for all possible parameter values. For this class of the problems, a stochastic ellipsoid method with multiple cuts each of which corresponds to each of the constraint is proposed, where a new update rule is present...

The purpose of this paper is to present a robust tracking control algorithm for underactuated biped robots capable of self-balancing in the presence of external disturbances. The biped is modeled as a five-link planar robot with four actuators located at hip and knee joints. A sliding mode control law has been developed for the biped to follow a human-like gait trajectory while keeping the tors...

An approach is presented that can be used to obtain low complexity controllers for an unknown system. In this approach, the identi cation of a set of models is used to represent the incomplete knowledge of the system. Subsequently, the set is used for the synthesis of a robust controller. In order to design low complexity controllers, the aim is to nd a low complexity representation of the set....

In this paper, the problem of robust stabilization and robust disturbance attenuation is investigated for systems with linear nominal parts and norm-bounded nonlinear uncertainties on both states and control inputs. It is shown that the type of nonlinear uncertainty sets considered in this paper has an equivalent representation by linear uncertainty sets. Based on this key result and some stand...

In this paper, the idea of adaptive robust control (ARC) is integrated with a repetitive control algorithm to construct a performance oriented control law for a class of nonlinear systems in the presence of both repeatable and non-repeatable uncertain nonlinearities. All the uncertainties are assumed to be bounded by certain known bounding functions. The repetitive control algorithm is used to ...

We analyze the null controllability for heat equations in the presence of switching controls. The switching pattern is a priori unknown so that the control has to be designed in a robust manner, based only on the past dynamics, so to fulfill the final control requirement, regardless of what the future dynamics is. We prove that such a robust control strategy actually exists when the switching c...

2 Deterministic Dynamic Programming and Viscosity Solutions 5 2.

Mark W. Spong textbook [13] for background of the robotics application of this technique. The novelty of our result in the present paper lies in the fact that the uncertainty bounds needed to derive the control law and to prove uniform ultimate boundedness of the tracking error depend only on the inertia parameters of the robot. Previous applications of the Leitmann approach to robot manipulato...

We consider the robust optimal control of a law of large numbers approximation of a stochastic network. The robust control problem is formulated as a di®erential game, with one player choosing the policies that determine service and routing assignments, and the other choosing quantities such as the arrival and service rates, subject to constraints. The cost to be minimized by the ̄rst player an...