Design of Optimal Static Output Feedback Controllers for Linear Control Systems Subject to General Structural Constraints

This article considers the design of optimal static output feedback controllers with priori structural constraints for linear systems. The structural constraints impose individual elements of the feedback matrix to satisfy certain equality or inequality constraints. The barrier method is used to add...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 67; no. 1; pp. 474 - 480
Main Author Wu, Jenq-Lang
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Constraints
Control systems
Cost function
Feedback control
Gradient descent method
Lagrange multiplier
Linear control
Linear matrix inequalities
Linear systems
Manganese
Mathematical analysis
Matrix decomposition
Minimization
optimal control
Optimization
Output feedback
Sparse matrices
static output feedback (SOF)
structural constraint
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Summary:This article considers the design of optimal static output feedback controllers with priori structural constraints for linear systems. The structural constraints impose individual elements of the feedback matrix to satisfy certain equality or inequality constraints. The barrier method is used to address an auxiliary minimization problem to attain an approximate solution to the original nonconvex constrained optimization problem. The Lagrange multiplier method is applied to derive necessary conditions for the optimal solution. An easy-to-implement algorithm based on the gradient descent method is developed to solve the auxiliary minimization problem, and the convergence of the algorithm is proven. The effectiveness of the proposed methodology is validated using two numerical examples.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2021.3081072