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Computational Approach to Input-to-State Stability Analysis of a Class of Nonlinear Systems
Hiroyuki Ichihara 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
Numerically tractable conditions for input-to-state stability(ISS) analysis are given for a class of nonlinear systems. The seconditions originate from ISS inequalities for the cascade connection of the systems and the feedback interconnected system. If class of the systems is restricted such as polynomial ones, then it is possible to avail recent developed sum of squares relaxation of positive polynomials for ISS analysis. One of the keys of these formulations is to realize class K∞ functions, which has inverse map on real nonnegative region, by polynomials.
Finite-Time Control for Linear Systems with Impulse Control
Hiroyuki Ichihara,Hitoshi Katayama 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper deals with finite-time stabilization and finite-time boundedness control problems for continuoustime linear time-varying systems with impulse control, which control is governed by discrete-time linear time-varying systems. Sufficient conditions are given for the existence of observer-based output feedback controllers that make a system finite-time stable and finite-time bounded, in terms of differential-difference linear matrix inequalities (DDLMIs). Assuming periodic solutions of the DDLMIs, numerically tractable design conditions for impulse control are given by LMIs. Numerical examples illustrate the design methods of observer-based output control as well as state feedback control.