Topic
Optimal control
About: Optimal control is a research topic. Over the lifetime, 68020 publications have been published within this topic receiving 1280283 citations.
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Book•
01 Apr 1989
TL;DR: This paper presents a meta-analyses of linear singular systems through system analysis via transfer matrix and feedback control of dynamic compensation for singular systems.
Abstract: Solutions of linear singular systems- Time domain analysis- Feedback control- State observation- Dynamic compensation for singular systems- Structurally stable compensation in singular systems- System analysis via transfer matrix- to discrete-time singular systems- Optimal control- Some further topics
3,020 citations
TL;DR: Taking a model matching approach, suboptimal solutions are presented that stem from the resulting l ∞ -induced norm-minimization problem.
2,950 citations
15 Jun 1988
TL;DR: In this article, simple state-space formulas are presented for a controller solving a standard H∞-problem, where the controller has the same state-dimension as the plant, its computation involves only two Riccati equations, and it has a separation structure reminiscent of classical LQG theory.
Abstract: Simple state-space formulas are presented for a controller solving a standard H∞-problem. The controller has the same state-dimension as the plant, its computation involves only two Riccati equations, and it has a separation structure reminiscent of classical LQG (i.e., H2) theory. This paper is also intended to be of tutorial value, so a standard H2-solution is developed in parallel.
2,875 citations
Book•
18 Dec 1997
TL;DR: In this paper, the main ideas on a model problem with continuous viscosity solutions of Hamilton-Jacobi equations are discussed. But the main idea of the main solutions is not discussed.
Abstract: Preface.- Basic notations.- Outline of the main ideas on a model problem.- Continuous viscosity solutions of Hamilton-Jacobi equations.- Optimal control problems with continuous value functions: unrestricted state space.- Optimal control problems with continuous value functions: restricted state space.- Discontinuous viscosity solutions and applications.- Approximation and perturbation problems.- Asymptotic problems.- Differential Games.- Numerical solution of Dynamic Programming.- Nonlinear H-infinity control by Pierpaolo Soravia.- Bibliography.- Index
2,747 citations
Book•
11 May 2000
TL;DR: It is shown here how the model derived recently in [Bouchut-Boyaval, M3AS (23) 2013] can be modified for flows on rugous topographies varying around an inclined plane.
Abstract: Basic notation.- Introduction.- Background material.- Optimality conditions.- Basic perturbation theory.- Second order analysis of the optimal value and optimal solutions.- Optimal Control.- References.
2,067 citations