tailieunhanh - RECENT ADVANCES IN ROBUST CONTROL – NOVEL APPROACHES AND DESIGN METHODSE Part 5

Tham khảo tài liệu 'recent advances in robust control – novel approaches and design methodse part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Neural Control Toward a Unified Intelligent Control Design Framework for Nonlinear Systems 109 Define Ax t x1 t - x2 t and Ap p - p. Then we have pt . . .-If Ax t I aTAx s BtAx s u s CtAx s p ds 0 t I C x1 s Apds t0 If the both sides of the above equation takes an appropriate norm and the triangle inequality is applied the following is obtained Ax t I aTAx s BtAx s u s CTAx s p ds Jt0 ft. . f C x1 s Ap ds Jt0 Note that C x1 s Ap can be made uniformly bounded by s as long as the estimate of p is made sufficiently close to p which can be controlled by the granularity of tessellation and p is bounded u t 1 aT supxeQ aT x TO Bt sup q Bt x TO and CT supxeQ CT x TO . It follows that Ax t s t -to aT Bt Ct p it Ax s ds Jt0 Define a constant K0 aT Bt CT p . Applying the Gronwall-Bellman Inequality to the above inequality yields Ax t s t -t0 K0s s - t0 exp J K0da ds t-t 2 s t -t0 sK0 20 exp K0 t -t0 Ks where K t -10 1 K0- exp K0 t -t0 and K TO . This completes the proof. 6. Simulation Consider the single-machine infinity-bus SMIB model with a thyristor-controlled seriescapacitor TCSC installed on the transmission line Chen 1998 as shown in Fig. 5 which may be mathematically described as follows b M-1 M f - - Po - D _ 1 - VtVTO Xd 1 - s Xe sin A 110 Recent Advances in Robust Control - Novel Approaches and Design Methods where s is rotor angle rad a rotor speed . rnb 2n 60 synchronous speed as base rad sec Pm is mechanical power input . P0 is unknown fixed load . D damping factor M system inertia referenced to the base power Vt terminal bus voltage . V infinite bus voltage . Xd transient reactance of the generator . Xe transmission reactance . s e smin smax series compensation degree of the TCSC and Se 1 is system equilibrium with the series compensation degree fixed at se . The goal is to stabilize the system in the near optimal time control fashion with an unknown load P0 ranging 0 and 10 of Pm. Two nominal .