On the Solvability of Linear Matrix Inequalities under Quadratic Constraints

Rapoport, Lev; Tormagov, Timofey

doi:10.1109/stab49150.2020.9140464

Cited by 2 publications

(2 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here the gain value K will be designed arbitrarily because the above equation is said to be very basic in a linear system. We can use the eigenvalue setting method or the linear matrix inequality (LMI) method [23,24] to solve the control gain K.…”

Section: Grey Estimator-based Tracking Controlmentioning

confidence: 99%

Grey Estimator-Based Tracking Controller Applied to Swarm Robot Formation

Chen

Chiu

Lee³

2021

Axioms

View full text Add to dashboard Cite

Mobile robots are widely used in many applications, while various types of mobile robots and their control researches have been proposed in literature. Since swarm robots have higher flexibility and capacity for teamwork, this paper presents a grey estimator-based tracking controller for formation trajectory tracking of swarm robots. First, wheel-type mobile robots are used and modeled for the controller design. Then, a grey dynamic estimator is developed to estimate the environmental disturbance and model uncertainty for linear feedback compensation. As a result, the asymptotic trajectory tracking is assured, so that the application on the swarm robot formation is achieved for a multi-agent system. The computational complexity is slightly reduced by the design. Finally, in order to verify the reliability of swarm robot formation, several types of formation are maintained by the grey estimator-based feedback linearization controller.

show abstract

Section: Grey Estimator-based Tracking Controlmentioning

confidence: 99%

Grey Estimator-Based Tracking Controller Applied to Swarm Robot Formation

Chen

Chiu

Lee³

2021

Axioms

View full text Add to dashboard Cite

show abstract

“…e following are stability requirements stated as a collection of solved LMI conditions, which are indicated as a pair of solvable LMI conditions (Stability criteria) [10]. e newer delay time-bound conditions of stability, which favor long-term characteristics, mostly depend on the kind of LK function employed in the study; they avoid the restrictive commutative condition and choose a Lyapunov function of a more general form, and a new design algorithm, which takes into account the relation between the feedback control gains and the observer and improved EID estimator gains, is developed for the nonlinear system and clear relation between the developed estimator and the GESO is also clarified [11].…”

Section: Introductionmentioning

confidence: 99%

Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity

Gemechu

Prabakaran²,

Lalithamani³

et al. 2022

Advances in Materials Science and Engineering

View full text Add to dashboard Cite

The stability of a controlled network temperature control system (heat exchanger system) is examined in this study paper. A heat exchanger system keeps the end temperature of a liquid within defined parameters. The study proposes a linearized model of a temperature control system based on a delay-dependent state equation to accomplish this job. For a temperature management system in a network having time-varying delays, the LK functional (Lyapunov–Krasovskii) method is coupled with the reciprocal convex lemma. To get less conservative stability requirements, a new LK functional was assumed in the stability analysis, and the time-dependent of the (LK) functional was taken via the reciprocal convex combination approach. Finally, under the LMI (linear matrix inequalities) paradigm, the suggested stability analysis leads to a stability criterion. The suggested results establish a new stability criterion for a more accurate operating form for a present temperature control system based on a theoretically obtained temperature management system.

show abstract

On the Solvability of Linear Matrix Inequalities under Quadratic Constraints

Cited by 2 publications

References 7 publications

Grey Estimator-Based Tracking Controller Applied to Swarm Robot Formation

Grey Estimator-Based Tracking Controller Applied to Swarm Robot Formation

Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity

Contact Info

Product

Resources

About