Novel extensions of Smith predictors for MIMO systems with multiple I/O delays

Despite of its enormous popularity and acceptance and many industrial applications and the thousands of articles and many book chapters written on it ( we apologize for mentioning here only very few references), the Smith Predictor (SP) control algorithm, [3], (called also Dead Time Compensator - DTC) remains to date an advanced algorithm for systems with just a single delay. Its properties are well understood ([1] for example) and suitable modifications (called modified Smith predictors (MSP)) for unstable SISO systems with delays are well known and documented, [2]. SPs structures appear in one form or another in optimal H2, L1 and H∞ solutions for systems with a single delay. See [11]–[14]. Extending the SP to nonlinear systems with input delay is presently an active research area [15].

[1]  David L. Kleinman,et al.  Optimal control of linear systems with time-delay and observation noise , 1969 .

[2]  Eduardo F. Camacho,et al.  Control of dead-time processes , 2007 .

[3]  O Smith,et al.  CLOSER CONTROL OF LOOPS WITH DEAD TIME , 1957 .

[4]  Leonid Mirkin,et al.  Every stabilizing dead-time controller has an observer-predictor-based structure , 2003, Autom..

[5]  Manfred Morari,et al.  Design of resilient processing plants. VI: The effect of right-half-plane zeros on dynamic resilience , 1985 .

[6]  Leonid Mirkin,et al.  Control Issues in Systems with Loop Delays , 2005, Handbook of Networked and Embedded Control Systems.

[7]  D. D. Perlmutter,et al.  Stability of time‐delay systems , 1972 .

[8]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[9]  M. Krstić.  Delay Compensation for Nonlinear, Adaptive, and PDE Systems , 2009 .

[10]  Leonid Mirkin,et al.  Loop Shifting for Systems with Adobe Input Delay , 2009 .

[11]  Leonid Mirkin,et al.  H2 optimization for systems with adobe input delays: A loop shifting approach , 2012, Autom..

[12]  Leonid Mirkin,et al.  H2 optimization for systems with adobe input delays: A loop shifting approach , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[13]  Leonid Mirkin,et al.  On the Dynamic Resilience and Novel Control Structures for Plants with Multiple Dead Times , 2009 .

[14]  Silviu-Iulian Niculescu,et al.  Survey on Recent Results in the Stability and Control of Time-Delay Systems* , 2003 .

[15]  W. H. Ray,et al.  High‐Performance multivariable control strategies for systems having time delays , 1986 .