Title :
Multi Parameter Programming Approach for State Feedback Optimal Control of Constrained Linear System
Author :
Zhang, Ju ; Fan, Xinggang ; Wang, Wanliang
Author_Institution :
Inst. of Autom., Zhejing Univ. of Technol., Hangzhou
Abstract :
Based upon iterative solution of multiparametric quadratic programming (MPQP) problem, explicit solution to model predictive control (MPC) of the constrained linear time-varying system is obtained. By using the principle of optimum and MPQP, an explicit algorithm for obtaining state feedback optimal control law of the constrained linear time-varying system is proposed. This paper shows that, for constrained linear time-varying system, both the control law for MPC and the state feedback optimal control law are time-varying piece wise linear. At the end of the paper, simulations for a vibration control of elevator´s mechanical system are made
Keywords :
linear systems; optimal control; piecewise linear techniques; predictive control; quadratic programming; state feedback; time-varying systems; constrained linear time-varying system; elevator mechanical system; iterative explicit solution; model predictive control; multiparameter programming; multiparametric quadratic programming; optimal control; piece wise linear; state feedback; vibration control; Iterative algorithms; Linear feedback control systems; Linear programming; Linear systems; Optimal control; Predictive control; Predictive models; Quadratic programming; State feedback; Time varying systems; constraint linear system; multi parameter quadratic programming; optimal control; piece wise linear state feedback control;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1714329
