TIME AND NORM OPTIMAL CONTROLS: A SURVEY OF RECENT RESULTS AND OPEN PROBLEMS∗ Dedicated to Professor Peter D. Lax on the occasion of his 85th birthday
نویسنده
چکیده
We present in this paper a survey of recent results on the relation between time and norm optimality for linear systems and the infinite dimensional version of Pontryagin’s maximum principle. In particular, we discuss optimality (or nonoptimality) of singular controls satisfying the maximum principle and smoothness of the costate in function of smoothness of the target.
منابع مشابه
Perfect Tracking of Supercavitating Non-minimum Phase Vehicles Using a New Robust and Adaptive Parameter-optimal Iterative Learning Control
In this manuscript, a new method is proposed to provide a perfect tracking of the supercavitation system based on a new two-state model. The tracking of the pitch rate and angle of attack for fin and cavitator input is of the aim. The pitch rate of the supercavitation with respect to fin angle is found as a non-minimum phase behavior. This effect reduces the speed of command pitch rate. Control...
متن کاملUniform design and analysis of iterative learning control for a class of impulsive first-order distributed parameter systems
In this paper, we provide uniform design and analysis framework for iterative learning control of a class of impulsive first-order distributed parameter systems in the time domain. In particular, P-type and D-type iterative learning controls with initial state learning are considered. We present convergence results for open-loop iterative learning schemes in the sense of the Lp-norm and λ-norm,...
متن کاملFormation Flying by Output Feedback Controllers
The relative motion of a follower satellite with respect to the leader in a given circular orbit is described by nonlinear autonomous differential equations. The linearized equations around the null solution are known as Hill-Clohessy-Wiltshire (HCW) equations [1, 2]. The in-plane and out-of-plane motions are independent. The out-of-plane motion is always periodic, while the in-plane motion bec...
متن کاملA Deterministic Nonsmooth Frank Wolfe Algorithm with Coreset Guarantees
We present a new Frank-Wolfe (FW) type algorithm that is applicable to minimization problems with a nonsmooth convex objective. We provide convergence bounds and show that the scheme yields so-called coreset results for various Machine Learning problems including 1-median, Balanced Development, Sparse PCA, Graph Cuts, and the `1-norm-regularized Support Vector Machine (SVM) among others. This m...
متن کاملNorm-Optimal Iterative Learning Control with Application to Problems in Accelerator-Based Free Electron Lasers and Rehabilitation Robotics
Iterative Learning Control (ILC) has been especially developed to improve the performance of systems that operate in a repetitive manner where the task is to follow some specified trajectory in a specified finite time interval, also known as a pass or a trial in the literature, with high precision. The novel principle behind ILC is to suitably use information from previous trials, often in comb...
متن کامل