On the Robust Stability of Continuous-Time and Discrete-Time Time-Invariant Uncertain Systems with Rational Dependence on the Uncertainty: a Non-Conservative Condition

摘要：

A key problem in automatic control consists of investigating robust stability of systems with uncertainty. This paper considers linear systems with rational dependence on time-invariant uncertainties constrained in the simplex. It is shown that a sufficient condition for establishing whether the system is either stable or unstable can be obtained by solving a generalized eigenvalue problem constructed through homogeneous parameter-dependent quadratic Lyapunov functions (HPD-QLFs). Moreover, it is shown that this condition is also necessary for establishing either stability or instability by using a sufficiently large degree of the HPD-QLF. Some numerical examples illustrate the use of the proposed approach in both cases of continuous-time and discrete-time uncertain systems.

作者: Graziano Chesi

作者单位: Department of Electrical and Electronic Engineering,University of Hong Kong,Pokfulam Road,Hong Kong,China.

会议类型: 国际会议

会议名称: The 3rd International Symposium on Systems and Control in Aeronautics and Astronautics(第三届航空航天系统与控制国际会议 ISSCAA 2010)

会议地点: 哈尔滨

会议语种:英文

页码: 1355-1360

在线出版日期: 2010-01-08（万方平台首次上网日期，不代表论文的发表时间）