Robust Control via Concave Minimization - Pierre Apkarian

Robust Control via Concave Minimization - Pierre Apkarian

resentation) uncertain systems depending on a time-varying parameter uncertainty. .... As concave programming is the best studied class of problems in global ...... problem by the introduction of one extra variable, whereas the simplicical ...

Robust Control via Sequential Semidefinite ... - Pierre Apkarian

quential Quadratic Programming (SQP) known in nonlinear optimization. ...... d o conclude the proof, let us multiply equation ( 3 ) above by x X ax, and divide by.

Monotonic Relaxation for Robust Control - Pierre Apkarian

where Q is a L x L symmetric matrix, qT Ñ (RL) and p Ñ R. Ñ denotes a hyper-rectangle in the positive ...... 0 .04321 9 - 0 .010111 0 .1441 9 5 6 8. Pi = 10 -5 '.

Analysis and Synthesis of Robust Control Systems ... - Pierre Apkarian

Sep 13, 1994 - This paper is concerned with the robust control problem of plants ... It alternates analysis phases and synthesis phases both ..... N o w the characteriz ation in ( 1 8 ) - (Ð¶Ð 0) is a con v ex feasibility program in the v ariables 7

Structured Robust Control Against Mixed Uncertainty - Pierre Apkarian

robust synthesis problem shown schematically in Fig. 1. In sec- tion III we discuss ...... In Table II the results of inner relaxation from algorithm. 1, hybrid approach ...

Comparison of HINFSTRUCT Matlab Robust Control ... - Pierre Apkarian

Feb 20, 2012 - Results in terms of achieved HÑ objectives and running times are displayed .... AC13. 28/7/110. 120.94. 29.56. 157.38. 156.33. AC14. 40/0/12.

Comparison of HINFSTRUCT Matlab Robust Control ... - Pierre Apkarian

A comparative graphical view of the achieved objective values as well as execution times for both techniques is given in figure 1. The top plots in figure. 1 shows ...

Robust Control Approaches for a Two-Link Flexible ... - Pierre Apkarian

approaches to control law design.Ð±Ð° number of different nonlinear tech- ..... conservative for three reasons Â¢ that Â¢ is treated as a complex number, that.

Robust filtering for uncertain nonlinearly ... - Pierre Apkarian

as quadratic functionals in and by a Schur's com- ... Again, rewriting the left-hand side of (36) as a quadratic functional in .... Equation (9). (10): Rewrite (10) as.

RoÊusÑ ConÑrol via Concave MiniÐ¼izaÑion Local ... - Pierre Apkarian

the class of rank minimization problems subject to LMI (convex) con- ... the reduced-order stabilization problem and discuss its convergence ...... collection of remaining members of1. S .... data of the synthesis interconnection are given in [4].

PARAMETERIZED LMIS IN CONTROL THEORY PIERRE APKARIAN

number of decision variables, the proposed techniques o ff er a valuable alternative to S ... F and C denotes the sets of real and complex numbers, respectively.

General adaptive control for nonlinearly ... - Pierre Apkarian

Email: {s3shung, tuan, n-tatsuo}@toyota-ti.ac.jp. ââ ... proach is due to the non-trivial step of identifying convex or concave ... 2 addresses the adaptive backstepping problem for the system (1) in .... tive controller for system (1) with a new

nonsmooth structured control design - Pierre Apkarian

controller design conclusion nonsmooth structured control design - P. APKARIAN - ALCOSP 2007 - 2/22 ...... + N0)(Dnsn + ... + D0)â1. Ni numerator coefficients.

Nonsmooth Structured Control Design with ... - Pierre Apkarian

For Hermitian or symmetric matrices, X â» Y means that. X â Y is ... is used to denote its adjoint operator on the appropriate space. ... 1 Introduction ... number of innovative techniques and heuristics for structured control have been proposed i

Robust Filtering for Discrete Nonlinear Fractional ... - Pierre Apkarian

classical linear fractional transformation (LFT) representations. ... in scaling variables, while those of [12] are in the form of exact LMIs. ... discrete-time systems.

Robust eigenstructure clustering by non-smooth ... - Pierre Apkarian

[5, 6], a sequential quadratic programming (SQP) technique with ...... and gradient-based optimisation,â IEE P-Contr. Theor. Ap., vol. 141, no. 3, pp. 202â208 ...

Robust Pole Placement in LMI Regions - Pierre Apkarian

regions, a class of convex regions of the complex plane that embraces most practically .... R and C denote the sets of real and complex numbers, respectively.

Robust Pole Placement in LMI Regions - Pierre Apkarian

(1). whereÐÐ£ andGÐ¦ are real matrices such thatgÐ£Ð¨ Xd Ð£ . The matrix- valued function. h i ... the LMI regionÐ¥Ð , if and only if there exists a symmetric. matrixI such that. Ð¦ ..... withstand neglected dynamics and1fl exible modes. â¢ Maximu

Robust Design of a TCSC Oscillation Damping ... - Pierre Apkarian

AbstractâThe Power Oscillation Damping (POD) controllers implemented in the two ..... is represented by the standard form description (u â Rm2 and y â Rp2 ) ...

Robust filtering for discrete nonlinear fractional ... - Pierre Apkarian

trix inequality (LMI) optimization formulations for uncertain NFT discrete systems with performance crite- ria based on generalized H2 and Hâ norm constraints.

IQC analysis and synthesis via nonsmooth optimization - Pierre Apkarian

answers even for IQC analysis, because we optimize without Lyapunov variables. ... order systems this leads to a significant reduction of the number of unknowns. .... A special case of program (10) is robustness analysis, where K is held fixed. .....

Fixed-Order "ontrol Design via a Partially Augmented ... - Pierre Apkarian

At a closer look, it is fairly easy to generate examples where the conditional gradient ..... mP be the solution so obtained. P ossibly use the previous iterate x. Ð«.

Concave Programming in Control Theory

As it plays a central role in robust control theory, many researchers in .... algorithm descriptions the notation X k is used to designate the -th iterate of the variable.

HINFSTRUCT benchmarking - Pierre Apkarian

Jan 10, 2012 - (HIFOO failed in 7 runs while HINFSTRUCT failed 3 times). The left .... AC13. 28/7/110. 1139.55. 28.08. 156.28. 156.33. AC14. 40/0/12. 272.97.

Robust Control via Concave Minimization - Pierre Apkarian

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