Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Engineering
H2−H∞ Control Of Continuous-Time Nonlinear Systems Using The State-Dependent Riccati Equation Approach, Xin Wang, Edwin E. Yaz, Susan C. Schneider, Yvonne I. Yaz
H2−H∞ Control Of Continuous-Time Nonlinear Systems Using The State-Dependent Riccati Equation Approach, Xin Wang, Edwin E. Yaz, Susan C. Schneider, Yvonne I. Yaz
Electrical and Computer Engineering Faculty Research and Publications
This paper presents a novel state-dependent Riccati equation (SDRE) control approach with the purpose of providing a more effective control design framework for continuous-time nonlinear systems to achieve a mixed nonlinear quadratic regulator and H∞ control performance criteria. By solving the generalized SDRE, the optimal control solution is found to achieve mixed performance objectives guaranteeing nonlinear quadratic optimality with inherent stability property in combination with H∞ type of disturbance reduction. An efficient computational algorithm is given to find the solution to the SDRE. The efficacy of the proposed technique is used to design the control system for inverted …
H2−H∞ Control Of Discrete-Time Nonlinear Systems Using The State-Dependent Riccati Equation Approach, Xin Wang, Edwin E. Yaz, Susan C. Schneider, Yvonne I. Yaz
H2−H∞ Control Of Discrete-Time Nonlinear Systems Using The State-Dependent Riccati Equation Approach, Xin Wang, Edwin E. Yaz, Susan C. Schneider, Yvonne I. Yaz
Electrical and Computer Engineering Faculty Research and Publications
A novel H2−H∞ State-dependent Riccati equation control approach is presented for providing a generalized control framework to discrete-time nonlinear system. By solving a generalized Riccati equation at each time step, the nonlinear state feedback control solution is found to satisfy mixed performance criteria guaranteeing quadratic optimality with inherent stability property in combination with H∞ type of disturbance attenuation. Two numerical techniques to compute the solution of the resulting Riccati equation are presented: The first one is based on finding the steady-state solution of the difference equation at every step and the second one is based on finding …