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[CT192]

CT192 (1/1) : Controllability, observability, and system structure (93B) / Model systems in control theory (93C)

Session Time & Room : 2E (Aug.22, 17:40-19:20) @D515
Type : Contributed Talk
Abstract : Many control systems have essential features, which can only be expressed if system dynamics is described by simultaneous differential and algebraic equations (DAEs). For example, the classical state space models, governed only by ordinary differential equations (ODEs), cannot adequately treat impulses that occur in electrical circuits. This talk is devoted to the problem of designing functional observers for linear DAEs. A new and milder sufficient condition for functional observers is proved.
Classification : 93B53, 93B07, 93A10, 93C99, 93D05
Format : Talk at Waseda University
Author(s) :
- Nutan Kumar Tomar (Indian Institute of Technology Patna)
- Juhi Jaiswal (Indian Institute of Technology Madras)
- Pabitra Kumar Tunga (Indian Institute of Technology Patna)

Session Time & Room : 2E (Aug.22, 17:40-19:20) @D515
Type : Contributed Talk
Abstract : We consider a vibrational system control problem over a finite time horizon. The performance measure of the system is taken to be $p$-mixed $H_2$ norm which generalizes the standard $H_2$ norm. Our novel procedure efficiently takes into account the structure of the vibrational system. An objective function is represented in terms of integrals which are solved using adaptive quadrature rules. We illustrate our approach by numerical examples concerning an $n$-mass oscillator with one damper.
Classification : 93C05, 93C15, 74D99, 70Q05
Format : Talk at Waseda University
Author(s) :
- Zoran Tomljanovic (University of Osijek, Department of Mathematics)
- Ivica Nakic (epartment of Mathematics, University of Zagreb)
- Marinela Pilj Vidakovic (University of Osijek, Department of Mathematics)

Session Time & Room : 2E (Aug.22, 17:40-19:20) @D515
Type : Contributed Talk
Abstract : Anti disturbance control design problem is proposed for a class of interval type-2 fuzzy stochastic systems subject to uncertainty and multiple disturbances. A fuzzy exogenous system considers a new fuzzy disturbance observer to precisely evoke the properties of interval type 2 fuzzy stochastic models with multiple disturbances. In order to ensure the stochastic stability of the closed-loop fuzzy system, a new sufficient condition is constructed using the method of linear matrix inequalities by integrating the $\textit{Ito}$ operator and choosing the appropriate Lyapunov-Krasovskii functional candidate dissipativity performance index. Finally, the provided theory is demonstrated with the example.
Classification : 93Bxx, 93Exx, 93Dxx
Format : Online Talk on Zoom
Author(s) :
- Aarthi Subramanian (Research Scholar, Anna University Regional Campus Coimbatore)
- Marshal Anthoni S (Anna University Regional Campus Coimbatore)