ISSN: 2250-3005 - ijcer

International Journal Of Computational Engineering Research (ijceronline.com) Vol. 2 Issue. 8xK AKxK BKyK(s) : (5) u CKx DKybe state-space realizations of the plant P(s) and controller K(s), respectively, and letxCL A x B wCLCL CL(6) z CCLxCL DCLwbe the corresponding closed-loop state-space equations withTX [X XCLK ]The design objective for finding K(s) is to optimize the H -norm of the closed-loop transfer G(s) from (w) to (z), i.e.,G(s) CCL1s ACL BCL DCL(7)andG(s) ZW γusing the LMI technique. is a specific number. This can be fulfilled if and only if there exists a symmetricmatrix X such that the following LMIs are satisfied.ACLX XA TBCLCCLXX 0TCLBCL1DCLTXCCLTC CL 02 γ I (8)It represents the system disturbance rejection, Figure i.e., 3. Block minimization diagram of of the output effect feedback. of the worst-case disturbance on the output. LMItoolbox can be used for such controller design [24]. Where;A CLA B2DKC2BKC2B2CKA KBCDCLCLCLB1 B2DKD BKD21(CD111 D D1212DDKK21CD221)D12CKLMI constraints defined by (8) can be derived from: Stability condition based on Lyapunov energy function;TV(X) x Xx 0(9)||Issn 2250-3005(online)|| ||December||2012 Page 175