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An LMI-based approach to critical control system design for rate-limited exogenous inputs

机译:基于LMI的速率受限的外部输入的关键控制系统设计方法

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摘要

This paper considers a linear matrix inequality approach to the design of critical control systems for rate-limited exogenous inputs. The sufficient condition for ensuring the critical requirement is derived from the exponential convergence condition of the unit step response. By changing the variables, it is transformed into the set of BMI and LMI conditions. The problem amounts to a convex feasibility problem with a line search. The obtained controller has the same order as a plant. To show the validity of the proposed method, a numerical example of multi-conditioned critical control system design is presented. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 15]
机译:本文考虑了线性矩阵不等式方法来设计速率受限的外源输入的关键控制系统。从单元阶跃响应的指数收敛条件中得出确保关键要求的充分条件。通过更改变量,将其转换为一组BMI和LMI条件。该问题相当于线搜索的凸可行性问题。所获得的控制器具有与工厂相同的顺序。为了证明所提方法的有效性,给出了多条件临界控制系统设计的数值例子。 (C)2002 Elsevier Science B.V.保留所有权利。 [参考:15]

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