In this study, a novel method is proposed to track a previewable reference signal in the polytopic time‐varying system with input saturation. Firstly, an augmented model containing future information is constructed using a new formal variable. This leads to the tracking control problem of polytopic time‐varying system with input saturation is transformed into a stability problem of augmented error system. Next, the state and static output feedback preview controls are introduced, and the corresponding controller gains are produced by the proposed conditions. Two examples are presented to validate the effectiveness of the proposed preview controller.
This paper investigates the finite-time preview saturated control
problem for linear parameter-varying systems with input saturation. The
external disturbances and input saturation, previewable reference
signals, and parameter variations are considered simultaneously. First,
using the error system method, we construct an augmented error system
with previewed information. This transforms the finite-time preview
saturated control problem into a finite-time stabilization problem.
Next, static output-feedback controllers are used to guarantee the
finite-time boundedness of the closed-loop system. Sufficient conditions
guarantee the existence of the desired controllers are obtained using
linear matrix inequalities. At last, we use a numerical simulation to
show the proposed design method’s effectiveness.
In present work, we investigated preview saturated control (PSC)
regarding constrained discrete-time delayed systems (CD-TDS). First,
using an input-output approach, discrete time-varying delay system was
eliminated formally. Discrete-time system with constant time delay was
gained. Then, an augmented error system (AES) was constructed through an
auxiliary signal related to state variables, which changed the problem
of PSC transform into a problem of robust stability for the
interconnected subsystem. Afterwards, using linear matrix inequality
(LMI) as well as Lyapunov function, sufficient robust stability
conditions regarding closed-loop system and design of PSC laws were
given. Finally, numerical simulations were performed, and they
demonstrated our result validity that presented.
In this study, we present a novel L norm-based
preview tracking controller design for discrete-time periodic linear
parameter-varying (LPV) systems based on a linear fractional
representation (LFR). It also proposes a robust controller design method
using actions that are integral and preview to achieve excellent
tracking performance and output constraints assuming that the reference
signal may be previewe. First of all, an augmented error system (AES)
with future knowledge about related signals was performed for a linear
periodic system using LFR, transforming a control issue with the preview
leading to a stability issue. The proposed conditions depend on using
slack variables and decision matrices related to LFR to generate novel
preview control. Second, Lyapunov functions dependent on parameters and
full-block multipliers were addressed to achieve synthesis situations
that are less conservative for discrete-time periodic LPV/LFR systems,
which were expressed as linear matrix inequalities (LMIs) to produce
reliable output and condition feedback with preview actions. In the end,
the efficiency of the proposed control methods was demonstrated based on
two numerical cases.
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