Title :
Stability of logic-differential systems
Author :
Skafidas, E. ; Evans, R.J.
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
Abstract :
There are many practical control problems where the control action is implemented by a hybrid controller consisting of a combination of numerically valued functions and logic components. The interaction between a plant represented by a differential equation and a hybrid controller is currently not well understood. We present stability results for classes of hybrid control laws where the logic elements are expressed in propositional logic. We present necessary and sufficient conditions for quadratic stability of such systems
Keywords :
continuous time systems; differential equations; discrete time systems; formal logic; stability; differential equation; hybrid control; logic-differential systems; necessary condition; propositional logic; stability; sufficient condition; Automata; Control systems; Decision making; Difference equations; Differential equations; Programmable control; Programmable logic arrays; Programmable logic devices; Stability; Sufficient conditions;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.761786
