Jianbin Qiu

A New Design of Delay-Dependent Robust

This paper investigates the problem of delay-dependent robust H infin filtering design for a class of uncertain discrete-time state-delayed Takagi-Sugeno (T-S) fuzzy systems. The state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available. The parameter uncertainties are assumed to have a structured linear fractional form. Based on a novel fuzzy-basis-dependent Lyapunov-Krasovskii functional combined with Finslers lemma and an improved free-weighting matrix technique for delay-dependent criteria, a new sufficient condition for robust H infin performance analysis is first derived, and then, the filter synthesis is developed. It is shown that by using a simple linearization technique incorporating a bounding inequality, a unified framework can be developed such that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities (LMIs), which are numerically efficient with commercially available software. Finally, simulation examples are provided to illustrate the advantages and less conservatism of the proposed approach.

{\cal H}_{\bm \infty}

This brief revisits the problem of delay-dependent robust Hinfin filtering design for discrete-time polytopic linear systems with interval-like time-varying delay. Under the condition whether the unknown parameters can be measured online or not, a parameter-dependent or a parameter-independent filter is respectively developed which guarantees the asymptotic stability of the resulting filtering error system with robust Hinfin performance gamma. It is shown that by using a new linearization technique incorporating a bounding technique, a unified framework can be developed such that the full-order and reduced-order, the parameter-dependent and parameter-independent filters can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness and merits of the proposed approach.

Filtering for Discrete-Time T--S Fuzzy Systems With Time-Varying Delay

This paper revisits the problem of robust H ∞ filtering design for a class of discrete-time piecewise linear state-delayed systems. The state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available. The parameter uncertainties are assumed to have a structured linear fractional form. Based on a novel delay-dependent piecewise Lyapunov–Krasovskii functional combined with Finslers Lemma, a new delay-dependent sufficient condition for robust H ∞ performance analysis is first derived and then the filter synthesis is developed. It is shown that by using a new linearisation technique, a unified framework can be developed so that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities (LMIs), which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.

Improved Delay-Dependent

This paper investigates the problem of delay-dependent output feedback guaranteed cost controller design for uncertain discrete-time switched systems with time-varying state delay. The uncertainties are assumed to have a structured linear fractional form. The objective is to design a switched dynamic output feedback controller guaranteeing the asymptotic stability of the resulting closed-loop system and minimizing a specified cost function. Based on a delay-dependent switched Lyapunov-Krasovskii functional (DDSLKF) combined with Finslers Lemma, a novel delay-dependent robust performance analysis result is first proposed and in turn the output feedback controller synthesis is developed. It is shown that the controller parameters can be obtained by solving a set of linear matrix inequalities. A numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.

H_{\infty }

This paper revisits the problem of delay-dependent robust energy-to-peak filtering for a class of discrete-time switched linear systems with time-varying state delay and polytopic uncertainties. The objective is to design a homogeneous switched linear filter guaranteeing the asymptotic stability of the resulting filtering error system with a minimized robust energy-to-peak disturbance attenuation level szligmin. Based on a new delay and parameter-dependent switched Lyapunov-Krasovskii functional combined with Finslerpsilas Lemma, a novel sufficient condition for robust energy-to-peak performance analysis is firstly derived and then the corresponding filter synthesis is developed. It is shown that the filter parameters can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach in comparison with the existing approaches.

Filtering Design for Discrete-Time Polytopic Linear Delay Systems

The problem of robust strictly passive analysis for a class of uncertain discrete singular time-delay systems is investigated in this paper. The discrete singular systems under consideration involve constant time-delay and norm-bounded uncertainties. Based on an integral inequality, a new sufficient condition is firstly obtained, which guarantees that the discrete singular time-delay systems are admissible and strictly passive. Meanwhile, the sufficient condition for robust strictly passive is also obtained in terms of linear matrix inequality (LMI). A numerical example is also given to demonstrate the applicability of the proposed method.

New results on robust H ∞ filtering design for discrete-time piecewise linear delay systems

This chapter investigates the problem of robust ℋ∞ piecewise statefeedback control for a class of nonlinear discrete-time-delay systems via Takagi-Sugeno (T-S) fuzzy models. The state delay is assumed to be time-varying and of an interval-like type with the lower and upper bounds. The parameter uncertainties are assumed to have a structured linear-fractional form. Based on two novel piecewise Lyapunov-Krasovskii functionals and some matrix inequality convexifying techniques, both delay-independent and delay-dependent controller design approaches are developed in terms of a set of linear matrix inequalities (LMIs). Numerical examples are also provided to illustrate the effectiveness and less conservatism of the proposed methods.

Delay-Dependent Output Feedback Guaranteed Cost Control for Uncertain Discrete-Time Switched Delay Systems

This paper revisits the problem of delay-dependent robust Hinfin filtering design for a class of continuous-time polytopic linear systems with a time-varying state delay. Based on a delay and parameter-dependent Lyapunov-Krasovskii functional combined with Projection Lemma, a new sufficient condition for robust Hinfin performance analysis is firstly derived and then the filter synthesis is developed by using a novel matrix linearization technique. It is shown that the desired filters can be constructed by solving a set of linear matrix inequalities. Finally, a numerical example is given to show the effectiveness and less conservatism of the proposed method in comparison with the existing approaches.

Improved robust energy-to-peak filtering design for discrete-time switched polytopic linear systems with time-varying delay

This paper investigates the problem of delay-dependent robust Hinfin filtering design for a class of uncertain discrete-time state-delayed T-S fuzzy systems. The state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available. The parameter uncertainties are assumed to have a structured linear fractional form. Based on a novel delay and fuzzy-basis-dependent Lyapunov-Krasovskii functional combined with Finslerpsilas Lemma, a new sufficient condition for robust Hinfin performance analysis is firstly derived and then the filter synthesis is developed. It is shown that by using a new linearization technique incorporating a bounding inequality, a unified framework can be developed such that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities, which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach.

Delay-dependent robust strictly passive analysis for a class of uncertain discrete singular time-delay systems

This paper revisits the problem of delay-dependent dynamic output feedback control for a class of uncertain discrete-time switched linear state-delayed systems, where the state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available and the parameter uncertainties are assumed to have a structured linear fractional form. The objective is to design a switched dynamic output feedback controller guaranteeing the asymptotic stability of the resulting closed-loop system with disturbance attenuation level gamma. Based on a new delay-dependent switched Lyapunov- Krasovskii functional combined with Finslers lemma, a novel sufficient condition for robust Hinfin performance analysis is first derived and then the corresponding controller synthesis is developed. It is shown that the controller parameters can be obtained by solving a set of linear matrix inequalities, which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach in comparison with the existing approaches.