Page 51 - ASME DSCC 2015 Program

Technical Program

A Predictive Strategy to Control Time-Varying Delay Systems: lean-
ConTRIBuTED SESSIon
1-20-1 TM3 Time Delay Systems Burn Engines
George Bellows E 1:30pm–3:30pm Contributed regular paper. DSCC2015-9868
Morteza Mohammadzaheri, Reza Tafreshi, Texas A&M University at Qatar,
Session Chair: Rifat Sipahi, Northeastern University Doha, Qatar, Behrouz Ebrahimi, Karolos Grigoriadis, Matthew franchek,
Session Co-Chair: fen Wu, North Carolina State University University of Houston, Houston, TX, United States
A Predictive Strategy to Control Time-Varying Delay Systems: Lean-Burn
Time- and State-Dependent Input Delay-Compensated Bang-Bang
Engines
Control of a Screw Extruder for 3D Printing
Contributed regular paper. DSCC2015-9630 Improved Robust Stability Bounds for Sampled Data Time Delay
Systems
Mamadou l. Diagne, Miroslav Krstic, University of California, San Diego,
La Jolla, CA, United States, nikolaos Bekiaris-liberis, University of Crete, Contributed regular paper. DSCC2015-9959
Chania, Greece Jubal Kurudamannil, Rama Yedavalli, Ohio State University, Columbus, OH,
United States
We extend the recently developed delay-compensated ‘Bang-Bang’ control
design methodology for control of the nozzle output flow rate of isothermal The paper presents improved stability robustness bounds on the real
screw-extruder-based 3D printing processes to the non-isothermal case, in parameter perturbations in the continuous time systems under sampling for
which, the viscosity of the material that convects in the extruder chamber time delay systems.
varies with time, resulting in periodic fluctuations of the material’s transport
A Multi-Mode Smooth Command Shaper With an Adjustable Maneuver
speed. We model the dynamics of the material convection in the extruder
Time
chamber with a nonlinear system with an input delay that simultaneously de-
Contributed regular paper. DSCC2015-9700
pends on the state and the time variable to account for the time variations of
Khaled Alhazza, Kuwait University, Safat, Kuwait, Ziyad n. Masoud,
the transport speed. By combining a nominal, piecewise exponential feed-
German Jordanian University, Amman, Jordan
back controller, which achieves global exponential stability in the nominal
delay-free case, with nonlinear predictor feedback, the compensation of the Input shaping and command shaping are important techniques in reducing
time- and state-dependent input delay of the extruder model is achieved. residual vibrations in rest-to-rest maneuvers. Jerks in these shapers can
Global asymptotic stability of the closed-loop system under the Bang-Bang reduce the life time for the crane motors and electronic boards. In this work,
predictor feedback is established when certain conditions, which are easy a totally smooth command shaper with an independent adjustable maneu-
to verify, related to the extruder design and the material properties, as well vering time is introduced to eliminate residual vibration in multimode system.
as to the magnitude and frequency of the material’s transport speed varia- The proposed technique is solved analytically and simulated numerically
tions, are satisfied. Several simulations results are presented to illustrate the though several example. Furthermore, the proposed technique requires
effectiveness of the proposed control design. only the resonant frequency of the system to produce a control profile. The
results through several examples show a great controller performance. It
Robust Gain-Scheduling output feedback Control of State-Delayed
important to mention that the proposed controller can be applied on any
lfT Systems using Dynamic IQCs
discretized multi-degree-of-freedom system.
Contributed regular paper. DSCC2015-9686
Chengzhi Yuan, fen Wu, North Carolina State University, Raleigh, NC,
United States, Chang Duan, Prairie View A & M University, Prairie View, TX,
United States
This paper is concerned with the robust gain-scheduling output feed-
back control problem for a class of linear parameter-varying systems
with time-varying state delay. The controlled plant under consideration is
described as a linear fractional transformation (LFT) model of scheduling pa-
rameters. Dynamic integral quadratics (IQCs) are employed to characterize
the input-output behavior of the state-delay nonlinearity. The robust stability
and the L_2-gain performance are first analyzed using quadratic Lyapunov
function. Then, the design of dynamic output-feedback controllers robust
against the plant state-delay nonlinearity and adapt to changing parame-
ters is examined. The synthesis conditions of such robust gain-scheduling
controllers are formulated in terms of linear matrix inequalities (LMIs) plus
a line search, which can be solved effectively using existing algorithms. A
numerical example has been used to demonstrate the effectiveness and
advantages of the proposed approach.

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