NDLI: LQ-based optimization for linear impulsive control systems mixed with continuous-time controls and fixed-time impulses

Content Provider	IEEE Xplore Digital Library
Author	Yuancan Huang Yiqun Zhang Hui Xia Tong Liang Dongfang Cheng
Copyright Year	2012
Description	Author affiliation: Institute of Electronic System Engineering, 100854 Beijing, China (Yiqun Zhang; Hui Xia; Tong Liang) \|\| Institute of Intelligent Robotics, School of Mechatronical Engineering, Beijing Institute of Technology, 100081, China (Yuancan Huang; Dongfang Cheng)
Abstract	Despite significant progress in the optimal theory of impulsive control systems, finding the optimal solution for them still remains a challenging task because of the computational complexity. In this paper, we focus our interests on the LQ-based optimization for a specific class of linear impulsive control systems mixed with continuous-time controls and fixed-time impulses so that the problem-solving ideas can be borrowed from the intensively studied and highly mature linear quadratic optimization theory, and the difficulty encountered in the conventional hybrid optimal control theory is bypassed because the impulsive instants are prescribed a priori. Using the classical Bellman Dynamic Programming, a matrix Riccati hybrid equation for the LQ-based optimization problem is derived and its steady-state solution is analyzed. The hybrid-type Riccati equation is formed by concatenating the matrix Riccati differential equation and the difference counterpart. Furthermore, the time-invariant system only with uniformly timing impulses is considered. In this case, the matrix Riccati hybrid equation is degenerated into a difference one, which is related to the discretized continuous-time dynamics. Finally, a simple regulator problem with impulsive control is given to validate the feasibility of the designed optimal feedback impulse control law.
Starting Page	6144
Ending Page	6150
File Size	280140
Page Count	7
File Format	PDF
ISBN	9781467320658
ISSN	07431546
e-ISBN	9781467320665
e-ISBN	9781467320641
DOI	10.1109/CDC.2012.6425960
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Optimization Differential equations Controllability Optimal control Steady-state
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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