PREAMBLE TO THE DESCRIBTION:
The following specification particularly describes the nature of the invention and the
manner in which it is performed:
"Robust sampled-data non-fragile Hoo control for discrete-time switched nonlinear
networked control systems"
[01) FIELD OF THE INVENTION
The present invention relates to examine the exponential stability and robust non fragile Hoo control
problem for a category of discrete-time switched nonlinear networked control systems (SNNCSs)
with time delays by using multiple Lyapunov function methods and employing an average dwell time
approach.
[02) BACKGROUND OF THE INVENTION
> A switched system comprises several subsystems and a switching law, pertaining to a distinct category
of hybrid systems. stability and stabilization are fundamental concepts within the realm of switched
systems.
> The principal objective of this hypothesis is to develop the controller to ensure that the closed loop
system maintains internal stability and that the designated Hoo performance level y does not exceed the
Hoo transfer function norm between the regulated output and the disturbances.
i> To develop a non fragile state-feedback robust Hoo controller with sampled data guarantees that the
resultant closed-loop system exhibits robust exponential stability with a disturbance attenuation level
y > 0 at its equilibrium point, while accounting for all possible actuator failures.
> The uncertainties of the parameters are considered to have a finite nn9rm, and a novel set of
specifications is put forward utilizing the method of average dwell time.
>-In our present work we examine tlie exponential conjunction control of~di"'sc"'re"'r"'e--i
switched nonlinear networked control systems SNNCSs with time delays.
[03) SUMMARY OF THE PRESENT INVENTION
i> We propose a sampled-data nonfragile controller aimed a( achieving robust exponential stabilization while
~ maintaining H00 performance for the switched nonlinear networked control systems.
~ > We initially establish adequate circumstances for robust exponential stabilization of closed-loop SNNCSs without a non-fragile strategy employing the Lyapunov functional method and the average dwell-time technique.
Depending on the acquired results, a collection of suitable conditions established for the non -ti·agile
~ sampled -data feedback controller. .c
~ > Finally, numerical examples and simulations are introduced to illustrate the feasibility and efficacy of the findings.
BRIEF DESCRIPTION OF THE DRAWINGS
~ The invention will be better understood and objects other than those set forth above will
become apparent when consideration is given to the following detailed description of drawings.
Two communication channels are shown in Figure I:
one linking the sampling unit and control unit, and another connecting the control unit and Zero Order
Hold. The existence of the network frequently results in signal transmission delays and data loss, which
may impair the operation of the closed-loop system
The state responses of uncertain SNNCSs in both closed and open loop configurations under sampled
based H, control performance are illustrated in Figures 2(a)- 2(b).
DETAILED DESCRIPTION OF THE INVENTION
A switched system comprises several subsystems and a switching law, pertaining to a distinct category of
hybrid systems. Each subsystem's dynamics are modeled using a continuous-time system equation or
discrete-time system equation.
:r- The study of switched systems and their associated challenges is becoming increasingly significant due
to the theoretical and practical issues they present.
> Stability and stabilization are fundamental concepts within the realm of switched systems. In order to address· the previously-mentioned -issues in switched -systems, a variety of- Lyapunov functions have been developed.
:r- It is essential to examine switched systems in conjunction with networked control, a concept frequently termed networked switched system.
:r- This study examines sampled-data non-fragile H, control for discrete-time switched nonlinear networked
control systems SNNCSs. Furthermore, robust exponential stabilization and non-fragile H, control criteria
are established by utilizing the suitable Lyapunov-Krasovskii functional (LKF).
> To develop a non fragile state-feedback robust H, controller with sampled data guarantees that the
resultant closed-loop system exhibits robust exponential stability with a disturbance attenuation level y >
0 at its equilibrium point, while accounting for all possible actuator failures .
> The uncertainties of the parameters are considered to have a finite norm, and a novel set of specifications
is put forward utilizing the method of average dwell time
> Ultimately, the simulation findings are shown to illustrate the feasibility and positives of the established delay-dependent conditions.
We Claim:
~ We develop a non fragile state-feedback robust Hoo controller with sampled data guarantees that the
resultant closed-loop system exhibits robust exponential stability with a disturbance attenuation level at its equilibrium point, while accounting for all possible actuator failures.
~ The uncertainties of the parameters are considered to have a finite norm, and a novel set of
specifications is put forward utilizing the method of average dwell time.
~ The simulation findings are shown to illustrate the feasibility and positives of the established delay dependent conditions.