Author_Institution :
Inst. of Math., Nat. Tsing Hua Univ., Hsinchu, Taiwan
Abstract :
This paper deals with the discrete-time bounded real lemma for descriptor systems. First, we derive the generalised discrete Lyapunov inequality, which is in the form of nonstrict linear matrix inequalities (LMIs), in order to check simultaneously the regularity, impulse immunity, and stability of descriptor systems. Based on this inequality, we obtain a bounded real lemma in nonstrict LMIs, which characterizes properties of descriptor systems, including regularity, impulse-free property, stability, and H∞ norm condition. The proofs are purely algebraic and they are therefore simple and definite
Keywords :
H∞ control; Lyapunov methods; discrete time systems; linear systems; matrix algebra; stability; H∞ control; Lyapunov inequality; bounded real lemma; descriptor systems; discrete time systems; impulse immunity; linear matrix inequality; regularity; stability; Bonding; Circuit synthesis; Control systems; Eigenvalues and eigenfunctions; Linear circuits; Linear matrix inequalities; Mathematics; Polynomials; Stability; Symmetric matrices;
