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SDP and LMIs methods for controller & filter design,
miscellaneous, ...(by themes)





 
 
 
 

LMI,MULTI-OBJECTIVE


P. Pellanda, P. Apkarian,
Synthesis of controllers for modal shaping in linear parameter-varying systems via the implicit model following formulation
American control conference, pp. 5161-5166, Denver, CO, 2003.

P. Pellanda, P. Apkarian, H.D. Tuan
Missile autopilot design via a multi-channel LFT/LPV control method
Int. J. Robust Nonlinear Control, vol. 12, pp. 1-20, 2002.

P. Apkarian, H.D. Tuan, J. Bernussou
Continuous-time analysis and $H_2$ multi-channel synthesis with enhanced LMI characterizations
IEEE Trans. Automatic Control,  vol. 46, no.  12, pp.  1941-1946, 2001.

H. D. Tuan and P. Apkarian and T. Q. Nguyen
Robust and reduced-order filtering: new LMI-based characterizations and methods
IEEE Trans. on Signal Processing, vol.40, no. 12, pp. 2975-2984, 2001.

P. Apkarian, P. Pellanda, H.D. Tuan
Mixed $H_2/H_{\infty}$ multi-channel linear parameter-varying control in discrete time
Systems and Control Letters, vol. 41,   pp. 333-346, 2000.

M. Chilali and P. Gahinet and P. Apkarian
Robust Pole Placement in LMI Regions
IEEE Trans. Automatic Control, vol. 44, no. 12, pp. 2257-2270, 1999.

P. Gahinet and P. Apkarian
An Linear Matrix Inequality Approach to $H_\infty$ Control
Int. Journal of Robust and Nonlinear Control, pp. 421-448, 1994 .

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ROBUST ANALYSIS


P. Apkarian, H.D. Tuan, J. Bernussou
Continuous-time analysis and $H_2$ multi-channel synthesis with enhanced LMI characterizations
IEEE Trans. Automatic Control,  vol. 46, no.  12, pp.  1941-1946, 2001.

P. Apkarian and H. D. Tuan
Parameterized LMIs in Control Theory
SIAM Journal on Control and Optimization, vol. 38, no. 4, pp.1241-1264, 2000.

M. Chilali and P. Gahinet and P. Apkarian
Robust Pole Placement in LMI Regions
IEEE Trans. Automatic Control, vol. 44, no. 12, pp. 2257-2270, 1999.

E. Feron and P. Apkarian and P. Gahinet
Analysis and Synthesis of Robust Control Systems via Parameter-Dependent Lyapunov Functions
IEEE Trans. Automatic Control, vol. 41, no. 7, pp. 1041-1046, 1996 .

P. Gahinet and P. Apkarian and M. Chilali
Parameter-Dependent Lyapunov Functions for Real Parametric Uncertainty
IEEE Trans. Automatic Control, vol. 41, no. 3, pp. 436-442, 1996 .

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ROBUST SYNTHESIS



P. Apkarian and D. Noll and H.D. Tuan
Fixed-Order $H_infty$ Control Design via a Partially Augmented Lagrangian Method
International Journal of Robust and Nonlinear Control, 13, pp 1137-1148, 2003.

D. Noll and M. Torki and P. Apkarian
Partially Augmented Lagrangian Method for Matrix Inequality Constraints
SIAM Journal on Optimization, vol. 15, 1, pp. 161-184, 2004.

B. Fares and D. Noll and P. Apkarian
Robust Control via Sequential Semidefinite Programming
SIAM Journal on Control and Optimization, vol. 40, no. 6, pp. 1791-1820, 2002.

H. D. Tuan and P. Apkarian
Monotonic relaxations for robust control: new characterizations
to appear in IEEE Trans. Automatic Control.

H. D. Tuan and P. Apkarian and T. Q. Nguyen
Robust and reduced-order filtering: new LMI-based characterizations and methods
IEEE Trans. on Signal Processing, vol.40, no. 12, pp. 2975-2984, 2001.

B. Fares, P. Apkarian, D. Noll
An Augmented Lagrangian Method for a Class of LMI-Constrained Problems in Robust Control Theory
International Journal of Control, vol.74, no.4, pp.348-360, 2001.

P. Apkarian and H. D. Tuan
Robust Control via Concave Minimization - Local and Global Algorithms
IEEE Transactions on Automatic Control 45, 2, pp. 299-305, 2000.

H. D. Tuan and P. Apkarian and Y. Nakashima
A New Lagrangian Dual Global Optimization Algorithm for Solving Bilinear Matrix Inequalities
International J. of Robust and Nonlinear Control, vol. 10, pp. 561-578, 2000.

P. Apkarian and H. D. Tuan
Concave Programming in Control Theory
Journal of Global Optimization, vol. 15,no. 4, pp.343-370, 1999.

H. D. Tuan and P. Apkarian
Low Nonconvexity-Rank Bilinear Matrix Inequalities:
Algorithms and Applications in Robust Controller and Structure Designs
IEEE Trans. on Automatic Control, 45, pp. 2111-2117, 2000.

H. D. Tuan, P. Apkarian , . Hosoe and H.Tuy
D.C Optimization in Robust Control: Feasibility Problems
Int. J. of Control, no. 73, pp. 89-104, 2000.

P. Apkarian and H. D. Tuan
Robust Control via Concave Minimization - Local and Global Algorithms
Technical report, 1998.

M. Chilali and P. Gahinet and P. Apkarian
Robust Pole Placement in LMI Regions
IEEE Trans. Automatic Control, vol. 44, no. 12, pp. 2257-2270, 1999.

E. Feron and P. Apkarian and P. Gahinet
Analysis and Synthesis of Robust Control Systems via Parameter-Dependent Lyapunov Functions
IEEE Trans. Automatic Control, vol. 41, no. 7, pp. 1041-1046, 1996 .

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LPV SYNTHESIS


P.C. Pellanda, A.M Simoes, P. Apkarian
Missile Atenuação de Efeitos de Não-Linearidades via Controle IMF/LPV
Brazilian Automatic Control Conference - CBA2004, Sept. 2004.

A.M Simoes, P. Apkarian, P.C. Pellanda
Controle do Modelo Não-Linear de um Missil AR-AR: Comparaçao entre Technicas LPV
Brazilian Automatic Control Conference - CBA2004, Sept. 2004.

H.D. Tuan, P. Apkarian,T. Narikiyo, M. Kanota
New Fuzzy Control Model and Dynamic Output Feedback Parallel Distributed Compensation
IEEE Trans. on Fuzzy Systems, vol. 12, 1, pp. 13-21 , Feb. 2004.

P. Pellanda, P. Apkarian, H.D. Tuan
Missile autopilot design via a multi-channel LFT/LPV control method
Int. J. Robust Nonlinear Control, vol. 12, pp. 1-20, 2002.

P. Apkarian, P. Pellanda, H.D. Tuan
Mixed $H_2/H_{\infty}$ multi-channel linear parameter-varying control in discrete time
Systems and Control Letters, vol. 41,   pp. 333-346, 2000.

H. D. Tuan, E. Ono, P. Apkarian and S. Hosoe
Nonlinear H-infinity Control for an Integrated Suspension System
via  Parameterized Linear Matrix Inequality Characterizations
IEEE Journal on Control Systems Technology vol. 9, no. 1, pp. 175-185, 2001.

P. Apkarian and H. D. Tuan
Parameterized LMIs in Control Theory
SIAM Journal on Control and Optimization, vol. 38, no. 4, pp.1241-1264, 2000.

P. Apkarian
On the Discretization of LMI-Synthesized Linear Parameter-Varying Controllers
Automatica, vol. 33, no. 4, pp. 655-661, 1997 .

P. Apkarian and R. J. Adams
Advanced Gain-Scheduling Techniques for Uncertain Systems
IEEE Trans. on Control System Technology, vol. 6, no. 1, pp. 21-32, 1997.

P. Apkarian and P. Gahinet and G. Becker
Self-Scheduled {H}$_{\infty}$ Control of Linear Parameter-Varying Systems: A Design Example
Automatica, vol. 31, no. 9, pp. 1251-1261, 1995.

P. Apkarian and P. Gahinet
A Convex Characterization of Gain-Scheduled {H}$_{\infty}$ Controllers
IEEE Trans. Automatic Control, vol. 40, no. 5, pp. 853-864, 1995 .

P. Apkarian and J. M. Biannic and P. Gahinet
Self-Scheduled $\calHinf$ Control of a Missile via Linear Matrix Inequalities
Journ. of Guidance Control and Dyn., vol. 18, no. 3, pp. 532-538.

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MISCELLANEOUS


P. C. Pellanda and P.  Apkarian
Une méthode d'interpolation de structures estimation/commande
pour des compensateurs H-infini et mu
in book ``Conception de commandes robustes'', Hermes publications, 2002.

H.D. Tuan, P. Apkarian, T. Narikyio, Y. Yamamoto
Parametrized linear matrix inequalities in fuzzy control system design
IEEE Trans. Fuzzy Systems , vol. 9,  pp. 324-332, 2001.

H. D. Tuan, E. Ono, P. Apkarian and S. Hosoe
Nonlinear H-infinity Control for an Integrated Suspension System
via  Parameterized Linear Matrix Inequality Characterizations
IEEE Journal on Control Systems Technology vol. 9, no. 1, pp. 175-185, 2001.

H. D. Tuan and P. Apkarian
Relaxations of Parameterized LMIs with Control Applications
International J. of Nonlinear Robust  and Nonlinear Control, no. 9, pp. 59-84, 1999.

D. Alazard and P. Apkarian
Exact Observer-Based Structures for Arbitrary Compensators
International J. of Nonlinear Robust Controls , no. 9, 1999.

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CONFERENCES


N.V.Q. Hung, H.D. Tuan, P. Apkarian, T. Narikyio
General adaptive control for nonlinearly parameterized systems under generalized matching condition
pp. 840-846, Proc. of 2002 IFAC World Congress, Barcelona, Spain.

O. Voinot, P. Apkarian , D. Alazard
Gain-Scheduling Hinfinity Control of the Launcher in Atmospheric Flight  via LPV Techniques
AIAA Guidance Navigation and Control Conference, 2002, Monterey, USA.

P. Apkarian, P. Pellanda, H. D. Tuan
Mixed Multi-Channel Linear Parameter-Varying Control in Discrete Time
American Control Conference, 2000.

B. Fares, P. Apkarian, D. Noll
An Augmented Lagrangian Method for a Class of LMI-Constrained Problems in Robust Control Theory
American Control Conference, 2000, pp. 3702-3705.

H. D. Tuan and P. Apkarian and Y. Nakashima
A New Lagrangian Dual Global Optimization Algorithm for Solving Bilinear Matrix Inequalities
American Control Conference, 1999 pp. 1851-1855. International J. of Robust and Nonlinear Control, vol. 10, pp. 561-578, 2000.

H. D. Tuan and S. Hosoe and E. Ono and P. Apkarian
Nonlinear $\Hinf$ Control for an Integrated Suspension System via Parameterized Linear Matrix Inequality Characterizations
American Control Conference,  1999, pp. 3173-3177.

P. Apkarian and H. D. Tuan
Robust Control via Concave Minimization - Local and Global Algorithms
Proc. of 37th Conf. on Decision and Control,  1998,
3855-3860; also in IEEE Transactions on Automatic
Control 45, 2, pp. 299-305, 2000.

H. Kajiwara and P. Apkarian and P. Gahinet
Wide-Range Stabilization of an Arm-Driven Inverted Pendulum Using Linear Parameter-Varying Techniques
AIAA GNC Conf., 1998.  Also in IEEE Control Systems Magazine, 1999 (19), pp. 44-54.

M. Chilali and P. Gahinet and P. Apkarian
Robust Pole Placement in LMI Regions
Conf. on Dec. and Control 1997.

R. J. Adams and P. Apkarian and J. P. Chretien
Robust Control Approaches for a Two-Link Flexible Manipulator
3rd International Conference on Dynamics and Control of Structures in Space, Cranfield, U.K., pp. 101-116, 1996 .

P. Gahinet and P. Apkarian
Numerical Computation of the ${L}_\infty$ Norm Revisited
Conf. On Dec. and Control,  1992 .

J. C. Morris, P. Apkarian and J. C. Doyle
Synthesizing robust mode shapes with mu and implicit model following
The First IEEE Conference on Control Applications, Dayton, OH, pp. 1018-1023, vol.2   1992 .

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LINEAR FILTERING


  N.T. Hoang, H.D. Tuan, P. Apkarian, S. Hosoe
Gain-Scheduled Filtering for Time-Varying Discrete Systems
IEEE Transactions on Signal Processing - Vol. 52, 9, pp. 2464-2476, 2004.

  N.T. Hoang, H.D. Tuan, P. Apkarian, S. Hosoe
Robust Filtering for Discrete Nonlinear Fractional Transformation Systems
IEEE Transactions on Circuits and Systems - Vol. 51, 11, pp. 1-6, 2004.

  N.T. Hoang, H.D. Tuan, P. Apkarian, S. Hosoe
Robust Filtering for Uncertain Nonlinearly Parameterized Plants
IEEE Transactions on Signal Processing - Vol. 51, 7, 2003.

  N.T. Hoang, H.D. Tuan, P. Apkarian, S. Hosoe
Robust filtering for discrete nonlinear fractional transformation systems
Proc. of 3-rd Asian Control Conference, pp. 1614-1619, Singapore, 2002, .

H. D. Tuan and P. Apkarian and T. Q. Nguyen
Robust and reduced-order filtering: new LMI-based characterizations and methods
IEEE Trans. on Signal Processing, vol.40, no. 12, pp. 2975-2984, 2001.

H. D. Tuan and P. Apkarian and T. Q. Nguyen
Robust mixed H_2-Hinfinity filtering of 2-D systems
IEEE Trans. on Signal Processing, vol.50, pp. 1759-1771, 2002.

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SDP/OPTIMIZATION


P. Apkarian and D. Noll and H.D. Tuan
A spectral quadratic-SDP method with applications to fixed-order $H_2$ and $\Hinf$ synthesis
To appear in Asian Control Conference, Australia, 2004.

P. Apkarian and D. Noll and H.D. Tuan
Fixed-Order $H_infty$ Control Design via a Partially Augmented Lagrangian Method
To appear in International Journal of Robust and Nonlinear Control.

D. Noll and M. Torki and P. Apkarian
Partially Augmented Lagrangian Method for Matrix Inequality Constraints
SIAM Journal on Optimization, vol. 15, 1, pp. 161-184, 2004.

B. Fares and D. Noll and P. Apkarian
Robust Control via Sequential Semidefinite Programming
SIAM Journal on Control and Optimization, vol. 40, no. 6, pp. 1791-1820, 2002.

B. Fares, P. Apkarian, D. Noll
An Augmented Lagrangian Method for a Class of LMI-Constrained Problems in Robust Control Theory
International Journal of Control, vol.74, no.4, pp.348-360, 2001.

B. Fares, P. Apkarian, D. Noll
An Augmented Lagrangian Method for a Class of LMI-Constrained Problems in Robust Control Theory
American Control Conference, pp. 3702-3705, 2000.
 

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Revised: Jan. 8,  2008.