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PD‐control for stablewise tracking with finite reachability time: Linear continuous‐time mimo systems with state‐space description
Author(s) -
Grujić Ljubomir T.,
Mounfield William Pratt
Publication year - 1993
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4590030404
Subject(s) - reachability , control theory (sociology) , mimo , settling time , tracking (education) , state space , time derivative , computer science , tracking error , mathematics , lti system theory , linear system , control (management) , algorithm , control engineering , engineering , psychology , computer network , pedagogy , channel (broadcasting) , statistics , mathematical analysis , artificial intelligence , step response
Abstract The key problems addressed and solved in the framework of time‐invariant continuous‐time multiple‐input multiple‐output (MIMO) linear systems are the following: (a) the necessary and sufficient condition on the system under which there exists a control that can force the system to exhibit a requested tracking property without using any information about the mathematical description of the system internal dynamics and external disturbances; (b) the synthesis of an output error algorithm expressing stablewise tracking with finite (pre‐specified) reachability time; (c) the synthesis of a Proportional‐Derivative (PD) control algorithm for stablewise tracking with finite (given) reachability time without utilizing a mathematical model of the system internal dynamics, its state and the unmeasured, unknown time‐varying disturbances. Simulation results illustrate the theory with an unstable MIMO system under different desired stablewise tracking settling times.