Linear-matrix-inequality–based approach to H∞ controller synthesis of uncertain continuous-time piecewise linear systems

2004 ◽  
Vol 151 (3) ◽  
pp. 295-301 ◽  
Author(s):  
M. Chen ◽  
C.R. Zhu ◽  
G. Feng
Keyword(s):  
Linear Matrix Inequality ◽  
Linear Systems ◽  
Continuous Time ◽  
Piecewise Linear ◽  
Controller Synthesis ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Piecewise Linear Systems

A Linear Matrix Inequality Solution to the Input Covariance Constraint Control Problem

2013 ◽  
Author(s):  
Andrew White ◽  
Guoming Zhu ◽  
Jongeun Choi
Keyword(s):  
Linear Matrix Inequality ◽  
Control Problem ◽  
Continuous Time ◽  
Covariance Matrices ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Multiple Constraints ◽  
Matrix Inequality ◽  
Output Performance

In this paper, the input covariance constraint (ICC) control problem is solved by a convex optimization with linear matrix inequality (LMI) constraints. The ICC control problem is an optimal control problem that is concerned with finding the best output performance possible subject to multiple constraints on the input covariance matrices. The contribution of this paper is the characterization of the control synthesis LMIs used to solve the ICC control problem. To demonstrate the effectiveness of the proposed approach a numerical example is solved with the control synthesis LMIs. Both discrete and continuous-time problems are considered.

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