Fuzzy H/sub /spl infin// output feedback control design for singularly perturbed systems with pole placement constraints: an LMI approach

Assawinchaichote, Wudhichai; Nguang, Sing Kiong

doi:10.1109/tfuzz.2006.876328

Cited by 101 publications

(74 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Definition 4 (see [30]). Given > 0, a system of the form (7) is said to be with an ∞ -norm less than or equal to if…”

Section: Problem Formulationmentioning

confidence: 99%

“…∞ control was addressed for fuzzy SPSs in [11,[29][30][31], and sufficient conditions independent of for the existence of ∞ controller were presented. The resulting conditions in [11,[28][29][30][31] are only applicable to stabilizing the system and being with an ∞ performance for sufficiently small . Hence, some researchers have concentrated on the -bound design problem for fuzzy SPSs [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Wang

Zhou

Dai

et al. 2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

This paper is concerned with the design of fuzzy controller with guaranteed ∞ performance for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed switched systems. First, by using the average dwell time approach together with the piecewise Lyapunov function technique, a state feedback controller that depends on the singular perturbation parameter is developed. This controller is shown to work well for all ∈ (0, 0 ]. Then, for sufficiently small , an -independent controller design method is proposed. Furthermore, under the -independent controller, the -bound estimation problem of the overall switched closed-loop system is solved. Finally, an inverted pendulum system is used to evaluate the feasibility and effectiveness of the obtained results.

show abstract

“…Definition 4 (see [30]). Given > 0, a system of the form (7) is said to be with an ∞ -norm less than or equal to if…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Wang

Zhou

Dai

et al. 2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Next, employing (24), (25) and (26), the controller's matrices given in (12) can be re-expressed as follows: …”

Section: A Suitable Controller Is Of the Form (5) Witĥmentioning

confidence: 99%

A Non-Fragile H∞ Output Feedback Controller for Uncertain Fuzzy Dynamical Systems with Multiple Time-Scales

Assawinchaichote

2012

INT J COMPUT COMMUN

View full text Add to dashboard Cite

Abstract:This paper determines the designing of a non-fragile H ∞ output feedback controller for a class of nonlinear uncertain dynamical systems with multiple timescales described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a non-fragile H ∞ output feedback controller which guarantees the L 2 -gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for this class of uncertain fuzzy dynamical systems with multiple time-scales. A numerical example is provided to illustrate the design developed in this paper.

show abstract

“…It is well-known that, by using the T-S fuzzy model, the global behavior of a nonlinear system can be represented by a weighted sum of some locally simple linear subsystems. Many issues related to the stability analysis and control synthesis of T-S fuzzy systems have been studied [6][7][8][9][10][11] in the past decades. Recently, a class of fuzzy systems which is described by the singular form have been considered [12][13][14], where the model is an extension of T-S fuzzy model.…”

Section: Introductionmentioning

confidence: 99%

$$H_\infty $$ H ∞ filtering for stochastic singular fuzzy systems with time-varying delay

et al. 2014

View full text Add to dashboard Cite

This paper considers the H ∞ filtering problem for stochastic singular fuzzy systems with timevarying delay. We assume that the state and measurement are corrupted by stochastic uncertain exogenous disturbance and that the system dynamic is modeled by Ito-type stochastic differential equations. Based on an auxiliary vector and an integral inequality, a set of delay-dependent sufficient conditions is established, which ensures that the filtering error system is e λt -weighted integral input-to-state stable in mean (iISSiM). A fuzzy filter is designed such that the filtering error system is impulse-free, e λt -weighted iISSiM and the H ∞ attenuation level from disturbance to estimation error is below a prescribed scalar. A set of sufficient conditions for the solvability of the H ∞ filtering problem is obtained in terms of a new type of Lyapunov function and a set of linear matrix inequalities. Simulation examples are provided to illustrate the effectiveness of the proposed filtering approach developed in this paper.

show abstract

Fuzzy H/sub /spl infin// output feedback control design for singularly perturbed systems with pole placement constraints: an LMI approach

Cited by 101 publications

References 20 publications

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

A Non-Fragile H∞ Output Feedback Controller for Uncertain Fuzzy Dynamical Systems with Multiple Time-Scales

$$H_\infty $$ H ∞ filtering for stochastic singular fuzzy systems with time-varying delay

Contact Info

Product

Resources

About

Fuzzy H/sub /spl infin// output feedback control design for singularly perturbed systems with pole placement constraints: an LMI approach

Cited by 101 publications

References 20 publications

H∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

A Non-Fragile H∞ Output Feedback Controller for Uncertain Fuzzy Dynamical Systems with Multiple Time-Scales

$$H_\infty $$ H ∞ filtering for stochastic singular fuzzy systems with time-varying delay

Contact Info

Product

Resources

About

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems