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A Simultaneous Mixed LQR/H∞ Control Approach to the Design of Reliable Active Suspension Controllers
http://ntour.ntou.edu.tw:8080/handle/987654321/54156
title: A Simultaneous Mixed LQR/H∞ Control Approach to the Design of Reliable Active Suspension Controllers abstract: This paper is concerned with the synthesis of reliable controllers for quarter‐car active suspension systems. By a simultaneous mixed LQR/H∞ control approach, a static output feedback controller is derived for guaranteeing good suspension performance under possible sensor fault or suspension component breakdown. The considered simultaneous mixed LQR/H∞ control problem is a nonconvex optimization problem; therefore, the linear matrix inequality approach is not applicable. Based on the barrier method, we solve an auxiliary minimization problem to get an approximate solution for the simultaneous mixed LQR/H∞ control problem. Necessary conditions for the local optimum of the auxiliary minimization problem are derived. Moreover, a three‐stage solution algorithm is developed for solving the auxiliary minimization problem. The simulation shows that the obtained static output feedback suspension controllers can improve suspension performance in nominal mode and all considered failure modes.
<br>Design of Simultaneous Static Output Feedback Low-gain H∞ Controllers for a Collection of Time-delay System
http://ntour.ntou.edu.tw:8080/handle/987654321/54155
title: Design of Simultaneous Static Output Feedback Low-gain H∞ Controllers for a Collection of Time-delay System abstract: This paper considers the design of simultaneous static output feedback controllers for a finite collection of time‐delay linear systems. By solving a minimization problem, we try to find an output feedback low‐gain controller such that all resultant closed‐loop time‐delay systems are internally stable and satisfy a prespecified H∞‐norm requirement. Based on the barrier method, necessary conditions for local optimum of the minimization problem are derived. An example is given for illustration.
<br>State-Constrained Nonlinear L2-Gain Control
http://ntour.ntou.edu.tw:8080/handle/987654321/54154
title: State-Constrained Nonlinear L2-Gain Control abstract: In this note, a novel barrier storage function approach is developed to solve L 2 -gain control problem for nonlinear control-affine systems under functional-inequality state constraints. The existence of barrier storage functions is shown to be sufficient for guaranteeing the existence of state-constrained L 2 -gain controllers. Sufficient conditions for the existence of barrier storage functions are derived. Finally, a numerical example is given for illustration.
<br>Singular L2-gain Control for Switched Nonlinear Control Systems under Arbitrary Switching
http://ntour.ntou.edu.tw:8080/handle/987654321/54153
title: Singular L2-gain Control for Switched Nonlinear Control Systems under Arbitrary Switching abstract: This article concerns with the synthesis of L2‐gain state feedback controllers, without the standard regular assumption, for multi‐input switched nonlinear control‐affine systems under arbitrary switching. A common control storage function approach is developed for deriving sufficient conditions for the existence of uniform L2‐gain controllers. Moreover, an explicit formula for constructing L2‐gain controllers is presented. A numerical example is given for illustration.
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