Randomized Algorithms in Robust Control
نویسندگان
چکیده
The probabilistic approach to analysis and design of robust control systems is an emerging philosophy that gained increasing interest in recent years, see e.g. the book [24]. Opposed to the so-far dominating paradigm of deterministic worst-case robustness, the probabilistic approach presents itself as a natural tool to deal with the random character of uncertainties affecting control systems. In this paper, we discuss randomized algorithms for probabilistic robustness, with particular attention to recently developed methodologies for controller synthesis.
منابع مشابه
Robust Attitude Control of Spacecraft Simulator with External Disturbances
The spacecraft simulator robust control through H∞-based linear matrix inequality (LMI) and robust adaptive method is implemented. The spacecraft attitude control subsystem simulator consists of a platform, an air-bearing and a set of four reaction wheels. This set up provides a free real-time three degree of freedom rotation. Spacecraft simulators are applied in upgrading and checking the c...
متن کاملRobust optimal multi-objective controller design for vehicle rollover prevention
Robust control design of vehicles addresses the effect of uncertainties on the vehicle’s performance. In present study, the robust optimal multi-objective controller design on a non-linear full vehicle dynamic model with 8-degrees of freedom having parameter with probabilistic uncertainty considering two simultaneous conflicting objective functions has been made to prevent the rollover. The obj...
متن کاملConstrained Optimal Synthesis and Robustness Analysis by Randomized Algorithms
In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order statistics is associated with certain constraints. In particular, we derive an inequality on distribution for related order statistics. Moreover, we also propos...
متن کاملRandomized algorithms for probabilistic robustness with real and complex structured uncertainty
In recent years, there has been a growing interest in developing randomized algorithms for probabilistic robustness of uncertain control systems. Unlike classical worst case methods, these algorithms provide probabilistic estimates assessing, for instance, if a certain design specification is met with a given probability. One of the advantages of this approach is that the robustness margins can...
متن کاملRandomized methods for design of uncertain systems: Sample complexity and sequential algorithms
In this paper, we study randomized methods for feedback design of uncertain systems. The first contribution is to derive the sample complexity of various constrained control problems. In particular, we show the key role played by the binomial distribution and related tail inequalities, and compute the sample complexity. This contribution significantly improves the existing results by reducing t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003