Title :
The role and use of power and energy dynamics in the analysis and design of control systems
Author_Institution :
Dynamic Syst. Technol., Brea, CA
Abstract :
This paper considers the state space concepts of power and energy dynamics of a linear system in the analysis and design of feedback controllers. It is argued that a design paradigm based on the MIMO power dynamics can satisfy stability, performance and robustness requirements. Power and energy dynamics of first and second order MIMO systems are discussed. Some new results on the 2nd order MIMO systems are presented. The design of optimal compensators using power and energy concepts is also investigated. For this purpose, both linear-quadratic (L2 space) and linear-quartic (L4 space) performance criteria are studied. The first and second order necessary conditions for an optimal solution are derived resulting in a CAD tool for control systems
Keywords :
MIMO systems; control system analysis; control system synthesis; feedback; robust control; state-space methods; 1st order MIMO systems; 2nd order MIMO systems; CAD tool; L2 space performance criteria; L4 space performance criteria; MIMO power dynamics; energy dynamics; feedback controllers; first order necessary conditions; linear system; linear-quadratic performance criteria; linear-quartic performance criteria; optimal compensators; performance requirements; robustness requirements; second order necessary conditions; stability requirements; state space concepts; Control systems; Design methodology; MIMO; Manipulator dynamics; Performance analysis; Power system modeling; Robust stability; Space technology; State-space methods; Symmetric matrices;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411300
