Robust State Feedback for Interval Systems: An Interval Analysis Approach ∗

作者: Balasaheb M Patre , Pramod Jagan Deore , None

DOI:

关键词: Interval (mathematics)Characteristic polynomialMathematicsMatrix polynomialFull state feedbackPolynomialLinear dynamical systemInterval arithmeticKharitonov's theoremControl theory

摘要: The problem of robust state feedback design for a linear dynamical system with uncertain (interval) parameters is considered. designed controller has to place all the coefficients ofthe closed loop characteristic polynomial within assigned interval polynomial. A condition derived using certain known facts about matrix minors and its equation. assigns c polynomial, if inequalities admit positive solution. method simple advantage that it does not require canonical transformation. efficacy illustrated numerical examples.

参考文章(21)
Hervé Chapellat, L. H. Keel, S. P. Bhattacharyya, Robustness Properties of Multilinear Interval Systems Birkhäuser Basel. pp. 73- 80 ,(1992) , 10.1007/978-3-0348-7268-3_8
Chi-Tsong Chen, Linear System Theory and Design ,(1995)
Lubomir V. Kolev, Interval Analysis for Circuits Wiley Encyclopedia of Electrical and Electronics Engineering. ,(1999) , 10.1002/047134608X.W2530
Assem Deif, None, The Interval Eigenvalue Problem ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 71, pp. 61- 64 ,(1991) , 10.1002/ZAMM.19910710117