An implicit systems characterization of a class of impulsive linear switched control processes. Part 1: Modeling

Bonilla, M.; Malabre, Michel; Azhmyakov, Vadim

doi:10.1016/j.nahs.2014.04.002

Cited by 14 publications

(22 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Resulting from the particular structure of (2.2) and taking into account ( [2], Theorem 2) we conclude that the state space representations (2.1) and (2.2) are externally equivalent 2 to the following implicit global representations R ig (E, A q , B, C ):…”

Section: Implicit Representation Of Non-stationary Switched Systemsmentioning

confidence: 82%

“…In [2], we have studied the implicit representation of the class of linear switched system (LSS) [1] described by the following space representations R ss (A q , B, C q ):…”

Section: Implicit Representation Of Non-stationary Switched Systemsmentioning

confidence: 99%

“…In Part I of our manuscript (see [2]) we have shown how the linear time-invariant implicit systems theory can be efficiently used for adequate modeling of certain classes of switched systems with autonomous location transitions, Σ sw .…”

Section: Introductionmentioning

confidence: 99%

“…The significance of the results presented in [2] can be summarized as follow: the set of all admissible solutions of Σ sw is included into the solution set of an auxiliary linear time-invariant implicit rectangular representation R ir . Thus, if * Correspondence to: CINVESTAV-IPN, Departamento de Control Automático, UMI 3175, CINVESTAV-CNRS, A.P.…”

Section: Introductionmentioning

confidence: 99%

“…Section 2.1 summaries some necessary results from the first part of the manuscript, namely, from [2]. Section 2.2 is devoted to the basic geometric conditions that guarantee the existence of a proportional and derivative feedback control associated with the set of complex eigenvalues under consideration.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

An implicit systems characterization of a class of impulsive linear switched control processes. Part 2: Control

Bonilla

Malabre

Azhmyakov

2015

Nonlinear Analysis: Hybrid Systems

Self Cite

View full text Add to dashboard Cite

Section: Implicit Representation Of Non-stationary Switched Systemsmentioning

confidence: 82%

“…In [2], we have studied the implicit representation of the class of linear switched system (LSS) [1] described by the following space representations R ss (A q , B, C q ):…”

Section: Implicit Representation Of Non-stationary Switched Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An implicit systems characterization of a class of impulsive linear switched control processes. Part 2: Control

Bonilla

Malabre

Azhmyakov

2015

Nonlinear Analysis: Hybrid Systems

Self Cite

View full text Add to dashboard Cite

Optimal fixed-levels control for nonlinear systems with quadratic cost-functionals

Azhmyakov

Martínez

Poznyak

2015

Optim. Control Appl. Meth.

View full text Add to dashboard Cite

SUMMARYThis paper is devoted to general optimal control problems (OCPs) associated with a family of nonlinear continuous-time switched systems in the presence of some specific control constraints. The stepwise (fixed-level type) control restrictions we consider constitute a common class of admissible controls in many real-world engineering systems. Moreover, these control restrictions can also be interpreted as a result of a quantization procedure appglied to the inputs of a conventional dynamic system. We study control systems with a priori given time-driven switching mechanism in the presence of a quadratic cost functional. Our aim is to develop a practically implementable control algorithm that makes it possible to calculate approximating solutions for the class of OCPs under consideration. The paper presents a newly elaborated linear quadratic-type optimal control scheme and also contains illustrative numerical examples.

show abstract

On singular hybrid switched and impulsive systems

Zamani

Shafiee

Ibeas

2017

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary In this work, the problem of stability analysis for a class of singular hybrid switched and impulsive system (HSIS) is addressed. Corresponding to each subsystem, a hybrid switched and impulsive controller is designed and then the exponential stability property of the proposed singular HSIS is discussed for linear and nonlinear cases. Because switched systems without impulses are a special case of HSISs, the results are also given to switched system with synchronous and asynchronous controllers. The obtained results apply to control singular systems, and the introduced theorems allow knowing how the control must be designed. Two numerical examples are given to show the effectiveness of the proposed approaches. At first, by using MATLAB® software, the proposed method is applied to a class of physiological processes of endocrine disruptor diethylstilbestrol models to illustrate the effectiveness of the results obtained here for the linear case. Thereafter, another numerical example is provided to support the presented theoretical results for the nonlinear case.

show abstract

An implicit systems characterization of a class of impulsive linear switched control processes. Part 1: Modeling

Cited by 14 publications

References 22 publications

An implicit systems characterization of a class of impulsive linear switched control processes. Part 2: Control

An implicit systems characterization of a class of impulsive linear switched control processes. Part 2: Control

Optimal fixed-levels control for nonlinear systems with quadratic cost-functionals

On singular hybrid switched and impulsive systems

Contact Info

Product

Resources

About