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Mixed H2/H∞ Control of Continuous-Time Singularly Perturbed System-State Feedback Computations


Affiliations
1 (Scientist-F), Instrumentation and Electronics, Eng. (Div.), National Metallurgical Laboratory, Jamshedpur - 831 007, India
2 Assistant Professor, Dept. of Electrical Engineering, National Institute of Technology (NIT), Jamshedpur, India
3 Ex. Professor, Dept of Electrical Engineering, Indian Institute of Technology (IIT), Kharagpur, India
     

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This study brings out the scheme for the design of a mixed H2/H∞ based feedback controller for a continuous-time singularly perturbed system using state feedback computations. The mixed H2/H∞ control law was derived using the auxiliary cost minimisation approach and the feedback controller was formulated for a linear time invariant lower and higher order continuous-time singularly perturbed systems by solving iteratively coupled Riccati equations. The H∞-controller based on the mixed sensitivity approach and the Linear Quadratic Gaussian (LQG) controller were derived for the same system. The time responses for unit step input and robustness properties such as Gain and Phase margin were studied by formulating mixed H2/H∞, H∞ and LQG systems.

Keywords

H2/H∞ Control, Singularly Perturbed System, H∞ and LQG Control, State Feedback, Riccati Equation, Continuous-Time.
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  • Mixed H2/H∞ Control of Continuous-Time Singularly Perturbed System-State Feedback Computations

Abstract Views: 185  |  PDF Views: 0

Authors

S. A. Akbar
(Scientist-F), Instrumentation and Electronics, Eng. (Div.), National Metallurgical Laboratory, Jamshedpur - 831 007, India
A. K. Singh
Assistant Professor, Dept. of Electrical Engineering, National Institute of Technology (NIT), Jamshedpur, India
K. B. Datta
Ex. Professor, Dept of Electrical Engineering, Indian Institute of Technology (IIT), Kharagpur, India

Abstract


This study brings out the scheme for the design of a mixed H2/H∞ based feedback controller for a continuous-time singularly perturbed system using state feedback computations. The mixed H2/H∞ control law was derived using the auxiliary cost minimisation approach and the feedback controller was formulated for a linear time invariant lower and higher order continuous-time singularly perturbed systems by solving iteratively coupled Riccati equations. The H∞-controller based on the mixed sensitivity approach and the Linear Quadratic Gaussian (LQG) controller were derived for the same system. The time responses for unit step input and robustness properties such as Gain and Phase margin were studied by formulating mixed H2/H∞, H∞ and LQG systems.

Keywords


H2/H∞ Control, Singularly Perturbed System, H∞ and LQG Control, State Feedback, Riccati Equation, Continuous-Time.



DOI: https://doi.org/10.33686/prj.v5i1.189690