Multiobjective control design is known to be a difficult problem both in theory and practice. Our approach is to search for locally optimal solutions of a nonsmooth optimization problem that is built to incorporate minimization objectives and constraints for multiple plants. We report on the success of this approach using our public-domain matlab toolbox hifoo 2.0, comparing our results with be...

| This paper describes a robust control design for automatic steering of passenger cars. Previous studies 1{3] showed that reliable automatic driving at highway speed may not be achieved under practical conditions with look-down reference systems which use only one sensor at the front bumper to measure the lateral displacement of the vehicle from the lane reference. An additional lateral displa...

We investigate the complexity of bilevel combinatorial optimization with uncertainty in follower's objective, a robust approach. show that counterpart problem under interval can be Σ2P-hard, even when certain is NP-equivalent and tractable. On contrary, discrete case, at most one level harder than problem.

This paper describes a robust control design for automatic steering of passenger cars. Previous studies [l-31 showed that' reliable automatic driving at highway speed may not be achieved under pract,ical conditions with look-down reference systems which use only one sensor at the front bumper to measure the 1at)eral displacement of the vehicle from the lane reference. An additional lateral disp...

Due to the importance of robustness in many real-world optimization problems, the field of robust optimization has gained a lot of attention over the past decade. We concentrate on maximum flow problems and introduce a novel robust optimization model which, compared to known models from the literature, features several advantageous properties: (i) We consider a general class of path-based flow ...

efficient and on-time maintenance plays a crucial role inreducing cost and increasing the market share of an industrial unit. preventivemaintenance is a broad term that encompasses a set of activitiesaimed at improving the overall reliability and availability of a systembefore machinery breakdown. the previous studies have addressed thescheduling of preventive maintenance. these studies have co...

This paper considers the problem of designing a network to transport material from sources of supply to sites where demand occurs. However, the demand at each site is uncertain. We formulate the problem as a robust discrete optimization problem. The minimax objective is to nd a robust solution that has the best worst-case performance over a set of possible scenarios. However, this is a di cult ...

Many decision problems exhibit structural properties in the sense that the objective function is a composition of different component functions that can be identified using empirical data. We consider the approximation of such objective functions, subject to general monotonicity constraints on the component functions. Using a constrained B-spline approximation, we provide a data-driven robust o...