Robust state-derivative feedback LMI-based designs for multivariable linear systems

Assunção, Edvaldo; Teixeira, Marcelo Carvalho Minhoto; Faria, Flávio A.; Silva, N. A. P. Da; Cardim, Rodrigo

doi:10.1080/00207170701283899

Cited by 80 publications

(62 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…These new control designs allow new specifications, and also consider a broader class of plants than the related results available in the literature (Abdelaziz & Valášek, 2004;Duan et al, 2005;Assunção et al, 2007c). The proposed method extends the results presented in (Assunção et al, 2007c), because it can also be applied for the control of uncertain systems subject to structural failures. Examples illustrate the efficiency of these procedures.…”

mentioning

confidence: 48%

“…This condition was also assumed in other related researches (Kwak et al, 2002;Abdelaziz & Valášek, 2004;Assunção et al, 2007c;Cardim et al, 2007).…”

Section: Statement Of the Problemmentioning

confidence: 92%

“…S. Yang & J. Chen, 2006). In this section, we will show that it is possible to extend the presented results in (Assunção et al, 2007c), for the case where there exist structural failures in the plant. A fault-tolerant design is proposed.…”

Section: Lmi-based Control Design For State-derivative Feedbackmentioning

confidence: 99%

“…The state-derivative feedback has been examined with various approaches (Abdelaziz & Valášek, 2004;Kwak et al, 2002;Duan et al, 2005;Cardim et al, 2007), but neither them can be applied for uncertain systems or systems subject to structural failures (Isermann, 1997;Isermann & Ballé, 1997;Isermann, 2006). Robust state-derivative feedback LMI-based designs for linear time-invariant and time-varying systems were recently proposed in (Assunção et al, 2007c), but the results does not consider structural failures in the control design. Structural failures appear of natural form in the systems, for instance, in the following cases: physical wear of equipments, or short circuit of electronic components.…”

Section: Lmi-based Control Design For State-derivative Feedbackmentioning

confidence: 99%

See 3 more Smart Citations

Control Designs for Linear Systems Using State-Derivative Feedback

Cardim¹,

Teixeira²,

Assunção³

et al. 2008

Systems Structure and Control

View full text Add to dashboard Cite

mentioning

confidence: 48%

“…This condition was also assumed in other related researches (Kwak et al, 2002;Abdelaziz & Valášek, 2004;Assunção et al, 2007c;Cardim et al, 2007).…”

Section: Statement Of the Problemmentioning

confidence: 92%

Section: Lmi-based Control Design For State-derivative Feedbackmentioning

confidence: 99%

Section: Lmi-based Control Design For State-derivative Feedbackmentioning

confidence: 99%

See 2 more Smart Citations

Control Designs for Linear Systems Using State-Derivative Feedback

Cardim¹,

Teixeira²,

Assunção³

et al. 2008

Systems Structure and Control

View full text Add to dashboard Cite

“…Algumas aplicações bem sucedidas são regularização em sistemas lineares singulares (Garcia-Planas, 2003) e alocação de pólos (Abdelaziz e Valášek, 2004;Abdelaziz e Valášek, 2005;Teixeira et al, 2006;Assunção et al, 2007). Ela tem sido aplicada de forma bem sucedida como uma alternativa à realimentação de estados (Duan et al, 2005;Boukas and Habetler, 2004), pois em certas situações, a derivada é mais facilmente medida ou estimada.…”

Section: Introductionunclassified

Alocação de pólos em sistemas lineares invariantes no tempo utilizando realimentação da derivada de estados e a equação de Lyapunov

Araújo

Castro

Santos

2009

Sba Controle & Automação

View full text Add to dashboard Cite

RESUMOA realimentação da derivada de estados tem recebido grande atenção em tempos recentes, por ser uma alternativa à realimentação de estados e ser capaz de, exceto nos casos em que há pelo menos um pólo na origem, prover a conhecida alocação de pólos de um sistema linear invariante no tempo, que é uma das principais aplicações da realimentação de estados. Com base em procedimentos já consolidados para alocação de pólos por realimentação de estados utilizando a solução da equação de Lyapunov, são apresentados procedimentos análogos para realimentação da derivada de estados, e então apresentadas proposições análogas às aplicadas para realimentação de estados. Exemplos são então apresentados, comprovando a validade de tais procedimentos. PALAVRAS-CHAVE:Alocação de pólos, sistemas lineares, realimentação da derivada de estados, equação de Lyapunov. ABSTRACTThe state-derivative feedback has received great attention in recent times, for being an alternative to the state feedback and to be capable of, except in the cases where it has at least

show abstract

Fuzzy controller design for nonlinear singular systems with external noises subject to passivity constraints

Chang

Varadarajan

2020

Asian Journal of Control

View full text Add to dashboard Cite

This paper applies the state derivative feedback method and proportional plus derivative state feedback method to design the fuzzy controllers for the nonlinear singular systems with external noises. The Takagi‐Sugeno fuzzy modeling technology is employed in this paper to represent the nonlinear singular systems with external noise. Considering the singular Takagi‐Sugeno fuzzy model, the passivity constraint is chosen to treat the external noises for the controlled systems. By using the parallel distributed compensation method, the fuzzy controller is designed to satisfy the Lyapunov stability conditions and passivity constraints simultaneously. These sufficient conditions can be effectively solved in terms of linear matrix inequalities, which can be solved via the convex optimization technique. At last, some numerical examples are provided to verify the applicability and effectivity of the proposed fuzzy controller design methods.

show abstract

Robust state-derivative feedback LMI-based designs for multivariable linear systems

Cited by 80 publications

References 18 publications

Control Designs for Linear Systems Using State-Derivative Feedback

Control Designs for Linear Systems Using State-Derivative Feedback

Alocação de pólos em sistemas lineares invariantes no tempo utilizando realimentação da derivada de estados e a equação de Lyapunov

Fuzzy controller design for nonlinear singular systems with external noises subject to passivity constraints

Contact Info

Product

Resources

About