Parametric Eigenstructure Assignment in Second-Order Descriptor Linear Systems

Parametric control systems design with applications in missile control

“…Let E ec and A ec be given by (11) and (12), and let F ∈ C ne×ne be arbitrarily given. Then 1. the core matrix of the matrix pair (E ec , A ec ) is F if and only if there exists a matrix V ∈ C n×ne satisfying (14) and in this case the corresponding generalized finite eigenvector matrix of the matrix pair (E ec , A ec ) is given by…”

ESA in high-order descriptor linear systems via output feedback

“…For eigenstructure assignment in second-order linear systems and high-order linear systems, the main work is focus on state feedback and proportional plus derivative state feedback ( [6][7][8][9][10][11][12][13][14][15][16][17]), only [18] proposes a parametric approach to eigenstructure assignment in second-order conventional linear systems via output feedback.…”

LMI-based H ∞ synchronization of second-order neutral master-slave systems using delayed output feedback control

“…The methods for synchronization of the chaotic systems have been widely studied in recent years, and many different methods have been applied theoretically and experimentally to synchronize chaotic systems, such as feedback control [4][5][6][7][8][9][10], adaptive control [11][12][13][14][15], backstepping [16] and sliding mode control [17][18][19][20][21]. One of the most attractive dynamical systems is the second-order systems which capture the dynamic behaviour of many natural phenomena, and have found applications in many fields, such as vibration and structural analysis, spacecraft control, electrical networks, robotics control and, hence, have attracted much attention (see, for instance, [22][23][24][25][26][27][28][29][30][31][32]). It has been proved that in special situations a second-order system may show chaotic dynamics.…”