A numerical-substructure-based approach for the synthesis and control of isolated structure dynamically substructured systems

Dynamics, control and real-time issues related to substructuring techniques: application to the testing of isolated structure systems

“…This section applies the nominal parameters of {S N1 , G TS } to the synthesis of the control gains. Table 1 of Tu et al 9,12 lists the associated parameter values for S N1 , and the G TS parameters of equation ( 4) were identified as {a 1 , a 2 , b 1 , b 2 } = {30, 484, 14, 474}. Accordingly, the substitution of these parameters into equations ( 8), ( 19) and ( 20) yielded the control gains of N-LSC, N1-SSLSC and N2-SSLSC, which are summarised in Table 1, and the feedback gains of K en = 0 and 1 were set for the implementation work.…”

“…Accordingly, the substitution of these parameters into equations ( 8), ( 19) and ( 20) yielded the control gains of N-LSC, N1-SSLSC and N2-SSLSC, which are summarised in Table 1, and the feedback gains of K en = 0 and 1 were set for the implementation work. We also repeated the design of the three controllers using a first-order model of G TS , as presented in Tu et al 9 and in Table 1, as the benchmark for performance comparison. These controllers perform identically in simulation, but differently in real time, which will be discussed and verified in the implementation studies.…”

“…Simulation studies of the IS-DSS using the linear NB controllers and a first-order model of G TS have been verified in Tu et al, 9 and this section discusses the testing results using the NB and O-MCSEF controllers. Figure 5 displays the IS-DSS test rig constructed at NCREE.…”

“…Successful DSS tests rely on a high-quality controller to compensate for and cancel out the nonlinear, unknown and time-varying parameters within G TS , achieving synchronisation of {z N , z P } in real time. This article presents new numerical-substructurebased (NB) 1,9 and output-based (OB) adaptive techniques to deal with the DSS control issues. The NB controllers can be formed using state-space (SS) or transfer-function (TF) methods, subject to the preferable real-time performances related to the numerical and dynamic properties of S N1 and the controllers.…”

“…For the sake of brevity, the derivation of general form of linear NB and OB control systems is omitted in this article and can be referred to in Tu 1 and Tu et al 9 We practically synthesise the NB controllers for the testing of the IS-DSS and apply the OB framework to the development of adaptive O-MCSEF controller.…”