scholarly journals Static Output-Feedback Control for Vehicle Suspensions: A Single-Step Linear Matrix Inequality Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Josep Rubió-Massegú ◽  
Francisco Palacios-Quiñonero ◽  
Josep M. Rossell ◽  
Hamid Reza Karimi
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Vehicle Suspension ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Matrix Inequality ◽  
Feedback Controllers ◽  
Feedback Information ◽  
Static Output

In this paper, a new strategy to design static output-feedback controllers for a class of vehicle suspension systems is presented. A theoretical background on recent advances in output-feedback control is first provided, which makes possible an effective synthesis of static output-feedback controllers by solving a single linear matrix inequality optimization problem. Next, a simplified model of a quarter-car suspension system is proposed, taking the ride comfort, suspension stroke, road holding ability, and control effort as the main performance criteria in the vehicle suspension design. The new approach is then used to design a static output-feedbackH∞controller that only uses the suspension deflection and the sprung mass velocity as feedback information. Numerical simulations indicate that, despite the restricted feedback information, this static output-feedbackH∞controller exhibits an excellent behavior in terms of both frequency and time responses, when compared with the corresponding state-feedbackH∞controller.

H 2 ∕ H ∞ Robust Static Output Feedback Control Design via Mixed Genetic Algorithm and Linear Matrix Inequalities

2004 ◽  
Vol 127 (4) ◽  
pp. 715-722 ◽  
Author(s):  
Chein-Chung Sun ◽  
Hung-Yuan Chung ◽  
Wen-Jer Chang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Fitness Function ◽  
Computing Time ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Stability Conditions ◽  
Static Output Feedback ◽  
Bounded Control ◽  
Static Output

This paper is concerned with the synthesis of a mixed H2∕H∞ robust static output feedback with a bounded control bandwidth for continuous-time uncertainty systems. To this end, genetic algorithms and a linear matrix inequality solver are employed to regulate the static output feedback gains and to examine the Lyapunov stability conditions, respectively. The fitness function of this paper, which is called a hierarchical fitness function structure (HFFS), is able to deal with the stability conditions and the performance constraints in turn. This HFFS not only saves computing time but can also identify the infeasible stability condition. Designers can use the proposed idea to deal with many complex output feedback control problems. It also limits elaborate mathematical derivations and extra constraints.

LMI Formulation for Static Output Feedback Control of Linear Continuous System

2011 ◽  
Vol 186 ◽  
pp. 312-316
Author(s):  
Xin Gang Wang ◽  
Dong Mei Zhang ◽  
Jun Liu
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Continuous System ◽  
Linear Matrix ◽  
Continuous Systems ◽  
Static Output Feedback ◽  
Guaranteed Cost ◽  
Static Output Feedback Control ◽  
Static Output

In this paper, the static output feedback control of a class of continuous systems is considered. Thanks to the Reciprocal Projection Lemma, it is shown that the solution of the continuous system with static output feedback problem is conditioned by a set of linear matrix inequalities (LMIs), which are numerically tractable and free from any equality constraint. Furthermore, a convex optimization problem with LMI constraint is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop systems. Numerical examples are given to illustrate the effectiveness of the proposed methods.

scholarly journals Finite-Time H∞ Static Output Feedback Control for Itô Stochastic Markovian Jump Systems

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1709
Author(s):  
Liu Xikui ◽  
Teng Yapeng ◽  
Li Yan
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Static Output Feedback ◽  
Transition Rates ◽  
Feedback Controllers ◽  
Static Output Feedback Control ◽  
Static Output

This paper focuses on the problem of finite-time H∞ static output feedback control for Ito^ stochastic systems with Markovian jumps (MJs). First of all, by introducing a new state vector and a novel signal, several sufficient conditions for the existence of static output feedback controllers are established for the considered systems with completely known transition rates (CKTRs) and partially known transition rates (PKTRs), respectively. Then the static output feedback controllers are designed via solving linear matrix inequalities (LMIs), which ensure the closed-loop systems are stochastic H∞ finite-time boundedness. The validity of the developed method was demonstrated through two examples.

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