Tytuł artykułu

Disturbance attenuation problem using a differential game approach for feedback linear quadratic descriptor systems

Tytuł czasopisma

Archives of Control Sciences




No 4

Autorzy publikacji

Wydział PAN

Nauki Techniczne


<jats:title>Abstract</jats:title> <jats:p> This paper studies the H<jats:sub>∞</jats:sub> disturbance attenuation problem for index one descriptor systems using the theory of differential games. To solve this disturbance attenuation problem the problem is converted into a reduced ordinary zero-sum game. Within a linear quadratic setting the problem is solved for feedback information structure. </jats:p>


Committee of Automatic Control and Robotics PAS


2015[2015.01.01 AD - 2015.12.31 AD]


ISSN 1230-2384


Reddy (2013), Feedback nash equilibria for descriptor dierential game using matrix projectors on Matrix Analysis and Applications, SIAM, 32, 686. ; Mills (1989), Force and position control of manipulators during constrained motion tasks on Robotics and Automation, IEEE Trans, 5, 30. ; Huang (2000), Robust H control for uncertain linear time - invariant descriptor systems IEE Control Theory Applications, Proc, 147. ; Kumar (1996), Daouti dis : State - space realizations of linear dierential algebraic - equation systems with control - dependent state space on Automatic Control, IEEE Trans, 41, 269. ; Singh (1973), Existence of state equation representation of linear largescale dynamical systems Circuits Systems, IEEE Trans, 20, 239. ; Hemami (1979), Modeling and control of constrained dynamic systems with application to biped locomotion in the frontal plane on Automatic Control, IEEE Trans, 24, 526. ; Engwerda (2012), and Feedback nash equilibria for linear quadratic descriptor differential games, Automatica, 48, 625, ; Luenberger (1977), Singular dynamic leontief systems, Econometrica, 45, 991, ; Xu (1994), Miz ukami : Linear - quadratic zero - sum dierential games for generalized state space systems on Automatic Control, IEEE Trans, 39, 143. ; Luenberger (1977), Dynamic equations in descriptor form on Automatic Control, IEEE Trans, 22, 312. ; Engwerda (2009), Wij ayanti : The ( multi - player ) linear quadratic feed - back state regulator problem for index one descriptor systems European Control Conf Budapest, Proc.