This paper is concerned with the synthesis of a mixed h 2. This paper concerns static output feedback design of discretetime linear switched system using switched lyapunov functions slfs. Citeseerx multiobjective output feedback control via lmi. The designed controllers achieve online suboptimal receding horizon guaranteed cost such that the system can be stabilized for all admissible uncertainties. I had new theoretical results for robust optimal filtering of nonlinear systems. Multiobjective output feedback controller compare with imc. The various conditions are given through a family of lmis linear matrix inequalities parameterized by a scalar. This is called pole placement in the control literature. The synthesis is formulated as a new type of rankconstrained lmi optimization problem, which was solved by an iterative pfm. Wang, et al guaranteed cost fuzzy output feedback control via lmi method chilali discussed analysis and synthesis techniques for robust pole placement in lmi linear matrix inequality regions, but the proposed method could only be used for linear uncertain. Firstly, a new type of dynamic outputfeedback controller is constructed for fuzzy systems with input timevarying delay.
Secondly, by using lyapunov stability theory, a condition with h. This paper discusses nonlinear optimization techniques in robust control synthesis, with special emphasis on design problems which may be cast as minimizing a linear objective function under linear matrix inequality lmi constraints in tandem with nonlinear matrix equality constraints. Robust dynamic output feedback control synthesis with pole. This paper considers the optimal control of polytopic, discretetime linear parameter varying lpv systems with a guaranteed. An efficient solution to multiobjective control problems. The design objectives can be a mix of performance, performance, passivity, asymptotic disturbance rejection, timedomain constraints, and constraints on the. Applied lpv control with full block multipliers and. Activesemiactive hybrid control for motion and vibration. Robust control design of spsc microbial fuel cell with norm bounded uncertainty. A nonlinear model is obtained and linearized using the fast software developed for wind turbines. It is pretty wellknown how to solve such problems if the closedloop. A new characterization of stability for the switched system under arbitrary switching is first given together with performance evaluation. Guaranteed cost fuzzy output feedback control via lmi.
Multiobjective outputfeedback control via lmi optimization carsten scherer, member, ieee, pascal gahinet, member, ieee, and mahmoud chilali abstract this paper presents an overview of a linear matrix inequality lmi approach to the multiobjective synthesis of linear outputfeedback controllers. In general, tracking control design is more general and more difficult than the stabilization control design. The complete approach is demonstrated on a model of one joint of a reallife space robotic manipulator. Abstract this paper presents a suboptimal lmi approach to the multiobjective synthesis of linear outputfeedback controllers. The present works focus on dynamic modeling and robust h. Linear matrix inequalities and evolutionary optimization in multiobjective control article in international journal of systems science 378.
This paper presents a suboptimal lmi approach to the multiobjective synthesis of linear outputfeedback controllers. Multiobjective outputfeedback suspension control on a halfcar model. Multiobjective control design is known to be a difficult problem both in theory and practice. On output feedback multiobjective control for singularly. A four degreeoffreedom human body model is considered in order to investigate the control strategy more precisely.
Chilali, multiobjective outputfeedback control via lmi optimization, ieee transactions on automatic control, 42, 7, 896, 1997. A unified framework for robust nonlinear estimation and output feedback control via multiobjective lmi optimization. The problem of robust dynamic output feedback control design with pole placement constraints is studied for a linear parametervarying model of a floating wind turbine. Our approach is to search for locally optimal solutions of a nonsmooth optimization problem that is built to incorporate minimization objectives and constraints for multiple plants. Controller design using linear matrix inequalities 3. Multiobjective output feedback control via lmi optimization. Optimal lpv control with hard constraints springerlink. Multiobjective goal attainment optimization matlab. This paper is concerned with the problem of robust h. This study investigates the problem of outputfeedback h.
The proposed scheme is decentralized in the sense that each agent relies on the relative output information among the adjacent agents. The control problem includes an lmi constraint in the h. School of electrical and computer engineering, university of campinas, cp 6101. Multiobjective outputfeedback suspension control on a. Design of multiobjective robust decentralized controller for stochastic largescale systems using lmi. This paper presents an overview of a linear matrix inequality lmi approach to the multiobjective synthesis of linear outputfeedback controllers.
Hinfinity strong stabilization via hifoo, a package for fixedorder controller design in proceedings of cdc, cancun, 2008 pdf. Linear matrix inequality techniques in optimal control. Multiobjective outputfeedback control via lmi optimization article pdf available in ieee transactions on automatic control 427 july 1997 with 470 reads how we measure reads. Design of multiobjective robust decentralized controller. Robust outputfeedback controller design via local bmi. Linear matrix inequalities and evolutionary optimization. Scherer cw, gahinet p, chilali m 1997 multiobjective outputfeedback control via lmi optimization. This paper is concerned with the design problem of robust dynamic output feedback model predictive controllers for a class of discretetime systems with timevarying networkinduced delays and nonlinear perturbation. We utilize optimization algorithms inspired by the immune system for treating the mixed h2h control problem. Existence of solutions and conservatism of design 4. Crossref weixin han, zhenhua wang, yi shen and juntong qi, l observer for uncertain linear systems, asian journal of control, 2018.
Abstractthis paper presents an overview of a linear matrix inequality lmi approach to the multiobjective synthesis of linear outputfeedback controllers. Compared to previous approaches, we have revealed how to use a mixed controller as a starting point for the algorithm, and how to considerably reduce the size of the resulting lmi problems if increasing the approximation accuracy. The structural dynamic model of the solar array structure with piezoelectric actuators is generated by using finite element techniques. Chilali, multiobjective outputfeedback control via lmi optimization, ieee transactions on. We revisit a technique for solving multiobjective control problems through affinely parameterizing the closedloop system with the youla parameterization and confining the search of the youla parameter to finitedimensional subspaces.
Both precisely known systems and uncertain systems with polytopic uncertainties are. This paper presents an overview of an lmi approach to the multiobjective synthesis of linear outputfeedback controllers. Robust output feedback model predictive control for a. In 1, 2, the dynamic output feedback control of singular perturbation systems has been investigated. However, there are very few studies concerning with tracking control design based on the ts fuzzy model, especially for continuoustime systems. Safe feature elimination for the lasso and sparse supervised learning problems.
Multiobjective outputfeedback control for microsatellite. In addition, different objectives can be independently specified on different channels. Additionally, to guarantee robust stability of the closedloop system under parameter variations, h. Multiobjective process controllability analysis, computers. The consensusbased controllers are designed to minimize the effects of nonlinear. The static output robust controller design is carried out by solving a reliabilitybased multiobjective optimization problem. The main contribution of this paper is to solve the problem of multiobjective control for linear. Many examples using multiobjective optimization in control have appeared in various fields. We have described a practical procedure for finding structurally constrained h 2 and h. Fuzzy tracking control design for nonlinear dynamic. Gnu scientific library is employed in the vab695e software as well, in single precision floating point mode, for the implementation of the lpv control law.
The design objectives can be a mix of hsub spl infin performance, hsub 2 performance, passivity, asymptotic disturbance rejection, timedomain constraints, and constraints on the closedloop pole location. Scherer, c, gahinet, p, chilali, m 1997 multiobjective outputfeedback control via lmi optimization. Furthermore, a fast but conservative lmibased procedure for computing an initially feasible controller is also presented. This paper investigates a new method for consensus in nonlinear multiagent systems using fixedorder nonfragile dynamic output feedback controller, via an lmi approach. The designed controller is implemented in an ecp torsional plant of 2dof subject to electrical saturation limits of its actuator where the results obtained are discussed in this work. Multiobjective outputfeedback control via lmi optimization. Multiobjective control, robust control design, structured uncertainty, dynamic outputfeedback, lmis. 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. Robust finitetime stabilization via dynamic output.
Citeseerx document details isaac councill, lee giles, pradeep teregowda. Lmi formulation for static output feedback design of. The design objectives can be a mix of h1 performance, h 2 performance, passivity, asymptotic disturbance rejection, timedomain constraints, and constraints on the closedloop pole location. In addition, the multiobjective control problem can be formulated as combination of lmi. Hinfinity controller design with constrained control. The latter type of constraints renders the design numerically and algorithmically difficult. The object of the optimization is to design k to have the following two properties 1. In the dynamical output feedback control, these formulated lmis are nonlinear with the controller parameters. The multiobjective controller is designed based on linear model of attitude dynamics. However, to the best of our knowledge, the design of dynamic output feedback for robust controller via lmi optimization is still an open problem. Journal of control science and engineering 2010 article. Multiobjective optimization of tip tracking control using lmi. Multiobjective outputfeedback control via lmi optimization, ieee trans.
393 1606 308 1483 878 652 1108 525 1232 87 1470 258 822 845 889 821 908 1184 1162 1542 654 1391 1194 1083 520 1235 1314 754 206 1452 1373 130 371 1076 111