Loop-shaping Design with Constant Magnitude Loci in Control Education*

This educational contribution introduces the sensitivity peak beside the complementary sensitivity peak as indices of relative stability in the loop-shaping approach design of SISO control systems, through the use of an Extended Nichols Chart (ENC) which displays constant magnitude loci of the sensitivity function along with the well-assessed constant magnitude loci of the complementary sensitivity. The advantages of using the ENC in an educational context will be shown in the control design of an unstable laboratory process

[1]  Katsuhiko Ogata,et al.  Modern control engineering (3rd ed.) , 1996 .

[2]  Bengt Lennartson,et al.  Robust and optimal tuning of PI and PID controllers , 2002 .

[3]  Roberto Kawakami Harrop Galvão,et al.  A simple technique for identifying a linearized model for a didactic magnetic levitation system , 2003, IEEE Trans. Educ..

[4]  John Van De Vegte,et al.  Feedback control systems , 1986 .

[5]  Mark L. Nagurka,et al.  Design of PID controllers satisfying gain margin and sensitivity constraints on a set of plants , 2004, Autom..

[6]  K.J. ÅSTRÖM,et al.  Design of PI Controllers based on Non-Convex Optimization , 1998, Autom..

[7]  John van de Vegte.  Feedback control systems (3rd ed.) , 1994 .

[8]  Damrongrit Piyabongkarn,et al.  Development of a real-time digital control system with a hardware-in-the-loop magnetic levitation device for reinforcement of controls education , 2003, IEEE Trans. Educ..

[9]  Vilma A. Oliveira,et al.  Digital implementation of a magnetic suspension control system for laboratory experiments , 1999 .

[10]  Allen R. Stubberud,et al.  Feedback And Control Systems , 2007 .

[11]  Albert C. Hall.  The Analysis and Synthesis of Linear Servomechanisms , 1943 .

[12]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[13]  Benjamin C. Kuo,et al.  AUTOMATIC CONTROL SYSTEMS , 1962, Universum:Technical sciences.

[14]  Ken Dutton,et al.  The art of control engineering , 1988 .

[15]  John D'Azzo,et al.  Linear Control System Analysis and Design: Conventional and Modern , 1977 .

[16]  Norman S. Nise,et al.  Control Systems Engineering , 1991 .

[17]  Graham C. Goodwin,et al.  Control System Design , 2000 .

[18]  Bruce A. Francis,et al.  Feedback Control Theory , 1992 .

[19]  I. Horowitz.  Quantitative feedback theory , 1982 .

[20]  Paul H. Lewis,et al.  Basic Control Systems Engineering , 1997 .

[21]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[22]  James L. Melsa,et al.  Linear Control Systems , 1992 .