We study bang–bang control problems that depend on a parameter p. For a fixed nominal parameter p0, it is assumed that the bang-bang control has finitely many switching points and satisfies second order sufficient conditions (SSC). SSC are formulated and checked in terms of an associated finitedimensional optimization problem w.r.t. the switching points and the free final time. We show that the...

This paper presents how a problem of optimal trajectory planning, that is an optimal control problem, can be transformed into a parametric optimization problem and in consequence be tackled using efficient deterministic or stochastic parametric optimization techniques. The transformation is done thanks to discretizing some or all continuous system’s variables and forming their time-histories by...

The Volterra integral equations of the first kind with piecewise smooth kernel are considered. Such equations appear in the theory of optimal control of the evolving systems. The existence theorems are proved. The method for constructing approximations of parametric families of solutions of such equations is suggested. The parametric family of solutions is constructed in terms of a logarithmic ...

The key role of autonomous systems in future space missions has made model predictive control a very attractive guidance and control technique. However, the capability of low-power spacecraft processors to handle the real-time computational load of this technique still needs to be fully established, especially for complex control problems. This paper introduces a method to improve the computati...

this paper concerns a study on the optimal control for nonlinear systems. an appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. in this fashion, the nonlinear system has been linearized using input-output feedback linearization (iofl). then, by utilizing the well developed optimal control theory of linear systems, the compensated nonl...

In this paper we present an algorithm for the design of robust model-based predictive control for hybrid system under uncertainty via parametric programming. The proposed min-max hybrid control scheme guarantees feasible plant operation for the maximum violation of uncertainty scenario. The key advantage of the proposed hybrid controller design is reduction in expensive, repetitive in nature on...

We study the problem of an auctioneer who wants to maximize her profits. In our model, there are n buyers with private valuations drawn from independent distributions F1, ..., Fn. When these distributions are known to the seller, Myerson’s optimal auction [21] is a well known mechanism that maximizes revenue. However, in many cases it is too strong to assume that the seller knows these distribu...

magnetorheological (mr) dampers have the advantage of being tuned by low voltages. this has attracted many researchers to develop semi-active control of structures in theory and practice. most of the control strategies first obtain the desired forces of dampers without taking their dynamics into consideration and then determine the input voltages according to those forces. as a result, these st...