An LMI approach to guaranteed cost control of linear uncertain time-delay systems

Yu, Li; Chu, Jian

doi:10.1016/s0005-1098(99)00007-2

Cited by 339 publications

(141 citation statements)

References 15 publications

Supporting

Mentioning

139

Contrasting

Unclassified

Order By: Relevance

“…. ; 9:5; 10g, e.g., (26). For comparison purposes, we employ Theorem 1 to check the system stability.…”

Section: Simulation Examplementioning

confidence: 99%

“…The guaranteed performance control aims at not only stabilizing the system, but also guaranteeing the specific cost of the system through pre-defined cost function [25,26]. Also there is a guaranteed cost approach introduced by works in [27], which is able to provide an upper bound on a given performance index and the performance of the system is guaranteed to be less than the boundary.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems

Lam

Xiao

et al. 2016

Int. J. Fuzzy Syst.

View full text Add to dashboard Cite

This paper focuses on the guaranteed cost stability analysis of fuzzy-model-based (FMB) control systems. Representing the nonlinear plant using a TakagiSugeno (T-S) fuzzy model, a fuzzy controller is employed to close the feedback loop. A weighted linear quadratic cost function is considered as the cost index to measure the performance of the closed-loop fuzzy system in terms of the system states, system outputs, and control signals. The stability of the FMB control system is investigated by the Lyapunov stability theory subject to the minimization of cost index for performance realization. A membershipfunction-dependent approach using the piecewise-linear membership functions is employed to include the information of membership functions into the stability analysis. Membership-function-dependent stability conditions in terms of linear matrix inequalities are obtained to determine the system stability and feedback gains with the consideration of the system performance measured by the cost function. A simulation example is provided to illustrate the effectiveness and merits of the proposed approach.

show abstract

“…. ; 9:5; 10g, e.g., (26). For comparison purposes, we employ Theorem 1 to check the system stability.…”

Section: Simulation Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems

Lam

Xiao

et al. 2016

Int. J. Fuzzy Syst.

View full text Add to dashboard Cite

show abstract

“…The guaranteed cost control approach has been extended to the uncertain time-delay systems, for the state feedback case, see [9,15,17] and for output feedback [5]. In the paper the authors consider the full order strictly proper dynamic output feedback controller.…”

Section: Introductionmentioning

confidence: 99%

Design of Robust Guaranteed Cost PID Controller for Networked Control Systems

Nguyen¹,

Veselý²

2010

Journal of Electrical Engineering

View full text Add to dashboard Cite

The paper addresses the problem of an output feedback guaranteed cost controller design for Networked Control Systems (NCSs) with time-delay and polytopic uncertainties. By constructing a new parameter-dependent Lyapunov functional and applying the free-weighting matrices technique, the parameter-dependent, delay-dependent design method will be obtained to synthesize PID controllers achieving a guaranteed cost such that the NCSs can be stabilized for all admissible uncertainties and time-delays. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

show abstract

“…Based on this idea, many significant results have been proposed [8][9]. It has recently been emphasized that many problems arising in system theory can be cast into the form of LMIs, which belong to the group of convex problems, and thus one can not only efficiently find feasible and global solutions to them via interior-point methods, but also easily handle various kinds of additional linear constraints.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Robust LQR Control With the Application to the Yaw Control of Small-scale Helicopter

Zhao

Jiang

Han

et al. 2006

2006 International Conference on Mechatronics and Automation

View full text Add to dashboard Cite

-This paper presents a new robust controller design approach to the yaw control of a small-scale helicopter mounted on an experimental platform. The yaw dynamic system is linearized into a linear system, which is modelled by an affine uncertainty model. We proposed a novel robust LQR feedback controller with adaptive mechanisms for the linear system with guaranteed control performance. The feedback gains are obtained by the solutions of a series of linear matrix inequalities (LMIs). The design approach reduces conservatism inherent in robust control with a fixed gain controller and improves performances in time-response. Numerical simulations illustrate the theoretical developments.

show abstract

An LMI approach to guaranteed cost control of linear uncertain time-delay systems

Cited by 339 publications

References 15 publications

Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems

Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems

Design of Robust Guaranteed Cost PID Controller for Networked Control Systems

Adaptive Robust LQR Control With the Application to the Yaw Control of Small-scale Helicopter

Contact Info

Product

Resources

About