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TA spent 90 minutes on computing the derivative of a candidate Lyapunov function. NINETY MINUTES.
not because he was slow (heās even too fast sometimes), but for how much stuff went into it.
the result? with properly defined control, the derivative can be made negative definite. nice.
BUT
he adds: ācontroller only guarantees almost semi-global asymptotic stabilityā.
someone asked him what he meant by āalmost semi-globalā (does that mean local? it sounds like it means local, but then why didnāt he say local? what does āalmostā even mean in this context???)
he said ālook it up on the referenced paperā
gtfo. ninety minutes on computations. and then ālook it up on the referenced paperā.
Nonlinear Control of Static Synchronous Compensator STATCOM for Transmission System
by Yadana Aung | Phyu Phyu Win | Moe Phyu Thel ""Nonlinear Control of Static Synchronous Compensator (STATCOM) for Transmission System""
Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019,
URL: https://www.ijtsrd.com/papers/ijtsrd28002.pdf Ā
Paper URL: https://www.ijtsrd.com/engineering/electrical-engineering/28002/nonlinear-control-of-static-synchronous-compensator-statcom-for-transmission-system/yadana-aung
call for paper physics, ugc approved journals in commerce, physics journal
Read the full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49979 DOI: 10.4236/ijmnta.2014.34019 Author(s) Baishun Liu, Xiangqian Luo, Jianhui Li ABSTRACT This paper proposes a systematic method to design general integral control with the generic integrator and integral control action. No longer resorting to an ordinary control along with a known Lyapunov function, but synthesizing singular perturbation technique, mean value theorem, stability theorem of interval matrix and Lyapunov method, a universal theorem to ensure regionally as well as semi-globally asymptotic stability is established in terms of some bounded information. Its highlight point is that the error of integrator output can be used to stabilize the system, just like the system state, such that it does not need to take an extra and special effort to deal with the integral dynamic. Theoretical analysis and simulation results demonstrated that: general integral controller, which is tuned by this design method, has super strong robustness and can deal with nonlinearity and uncertainties of dynamics more forcefully. eww140929gjr KEYWORDS General Integral Control, Nonlinear Control, Robust Control, General Integrator, General Integral Action, Singular Perturbation Method, Output Regulation
