In this paper we deal with robust control of a class of nonlinear systems which contain uncertainties. It can be viewed as an extension of the work in Corless and Leitmann [IEEE Trans. Aurom. Conrrol, AC-Xi, 1139-1144 (1981)] for the cases where the vector of uncertainties is only partially known. To cope with the uncertainties, an adaptive controller using a dead-zone and a hysteresis function...

We propose an optimal control approach to robust control design. Our goal is to design a state feedback to stabilize a system under uncertainty. We translate this robust control problem into an optimal control problem of minimizing a cost. Because the uncertainty bound is reeected in the cost, the solution to the optimal control problem is a solution to the robust control problem. Our approach ...

Fractional control systems with the Caputo derivative are considered. The modified controllability Gramian and the minimum energy optimal control problem are investigated. Construction of minimizing steering controls for the modified energy functional are proposed.

In optimal control problems, there exist different kinds of extremals, that is, curves candidates to be solution: abnormal, normal and strictly abnormal. The key point for this classification is how those extremals depend on the cost function. We focus on control systems such as nonholonomic control mechanical systems and the associated kinematic systems as long as they are equivalent. With all...

A new technique for stabilizing nonholonomic systems to trajectories is presented. It is well known (see [2]) that such systems cannot be stabilized to a point using smooth static-state feedback. In this note, we suggest the use of control laws for stabilizing a system about a trajectory, instead of a point. Given a nonlinear system and a desired (nominal) feasible trajectory, the note gives an...

This paper presents a computationally feasible procedure for the optimal control and stochastic simulation of large nonlinear models with rational expectations under the assumption of certainty equivalence.

Abstract: We study optimal control of systems governed by a coupled system of hemivariational inequalities, modeling a dynamic thermoviscoelastic problem, which describes frictional contact between a body and a foundation. We employ the Kelvin-Voigt viscoelastic law, include the thermal effects and consider the general nonmonotone and multivalued subdifferential boundary conditions. We consider...

homogenous charge compression ignition (hcci) engines hold promise of high fuel efficiency and low emission levels for future green vehicles. but in contrast to gasoline and diesel engines, hcci engines suffer from lack of having direct means to initiate combustion. a combustion timing controller with robust tracking performance is the key requirement to leverage hcci application in production ...

The major purpose of this article is to analyze the role of the "Agency Theory" in implementing effective control mechanisms. In effect, various control paradigms under the following situations are elaborated: a) When the agent's control system is merely based on the output under the condition of uncertainty; b) When the control mechanism is based on the output, and information about agent's ac...