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220
Advanced Gain Scheduling Techniques for Uncertain Systems,”
 Stress and Strain in Metal
, 1998
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Research on gain scheduling
, 2000
"... Current research on gain scheduling is clarifying customary practices as well as devising new approaches and methods for the design of nonlinear control systems. Gain scheduling for nonlinear controller design is described in terms of general features of the approach and in terms of early examples o ..."
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Cited by 96 (2 self)
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Current research on gain scheduling is clarifying customary practices as well as devising new approaches and methods for the design of nonlinear control systems. Gain scheduling for nonlinear controller design is described in terms of general features of the approach and in terms of early examples of applications in flight control and automotive engine control. Then recent research is discussed, emphasizing work on linearizationbased scheduling and work on linear parametervarying approaches.
Robust Pole Placement in LMI Regions
 IEEE Transactions on Automatic Control
, 1999
"... This paper discusses analysis and synthesis techniques for robust pole placement in LMI regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matrix. For this class of uncer ..."
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Cited by 47 (0 self)
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This paper discusses analysis and synthesis techniques for robust pole placement in LMI regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matrix. For this class of uncertain systems, the notion of quadratic stability and the related robustness analysis tests are generalized to arbitrary LMI regions. The resulting tests for robust pole clustering are all numerically tractable since they involve solving linear matrix inequalities (LMIs), and cover both unstructured and parameter uncertainty. These analysis results are then applied to the synthesis of dynamic outputfeedback controllers that robustly assign the closedloop poles in a prescribed LMI region. With some conservatism, this problem is again tractable via LMI optimization. In addition, robust pole placement can be combined with other control objectives such as H 2 or H1 performance to capture realist...
Coherent quantum LQG control
, 2007
"... Based on a recently developed notion of physical realizability for quantum linear stochastic systems, we formulate a quantum LQG optimal control problem for quantum linear stochastic systems where the controller itself may also be a quantum system and the plant output signal can be fully quantum. Su ..."
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Cited by 42 (24 self)
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Based on a recently developed notion of physical realizability for quantum linear stochastic systems, we formulate a quantum LQG optimal control problem for quantum linear stochastic systems where the controller itself may also be a quantum system and the plant output signal can be fully quantum. Such a control scheme is often referred to in the quantum control literature as “coherent control. ” It distinguishes the present work from previous works on the quantum LQG problem where measurement is performed on the plant and the measurement signals are used as input to a fully classical controller with no quantum degrees of freedom. The difference in our formulation is the presence of additional nonlinear and linear constraints on the coefficients of the sought after controller, rendering the problem as a type of constrained controller design problem. Due to the presence of these constraints our problem is inherently computationally hard and this also distinguishes it in an important way from the standard LQG problem. We propose a numerical procedure for solving this problem based on an alternating projections algorithm and, as initial demonstration of the feasibility of this approach, we provide fully quantum controller design examples in which numerical solutions to the problem were successfully obtained. For comparison, we also consider the case of classical controllers which use direct or indirect measurements, and show that fully quantum controllers can offer an improvement in performance over the classical ones.
Analysis of DiscreteTime Piecewise Affine and Hybrid Systems
, 2002
"... In this paper we present various algorithms both for stability and performance analysis of discretetime PieceWise Affine (PWA) systems. For stability, different classes of Lyapunov functions are considered and it is shown how to compute them through Linear Matrix Inequalities that take into accoun ..."
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Cited by 36 (6 self)
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In this paper we present various algorithms both for stability and performance analysis of discretetime PieceWise Affine (PWA) systems. For stability, different classes of Lyapunov functions are considered and it is shown how to compute them through Linear Matrix Inequalities that take into account the switching structure of the systems. We also show that the continuity of the Lyapunov function is not required in discretetime. Moreover, the tradeoff between the degree of conservativeness and computational requirements is discussed. Finally, by using arguments from the dissipativity theory for nonlinear systems, we generalize our approach to analyze the l2gain of PWA systems.
Robust H filtering for stochastic timedelay systems with missing measurements
 IEEE Trans. Signal Process
, 2006
"... Abstract—In this paper, the robust filtering problem is studied for stochastic uncertain discrete timedelay systems with missing measurements. The missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. We aim to design filters such that, ..."
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Cited by 33 (17 self)
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Abstract—In this paper, the robust filtering problem is studied for stochastic uncertain discrete timedelay systems with missing measurements. The missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. We aim to design filters such that, for all possible missing observations and all admissible parameter uncertainties, the filtering error system is exponentially meansquare stable, and the prescribed performance constraint is met. In terms of certain linear matrix inequalities (LMIs), sufficient conditions for the solvability of the addressed problem are obtained. When these LMIs are feasible, an explicit expression of a desired robust filter is also given. An optimization problem is subsequently formulated by optimizing the filtering performances. Finally, a numerical example is provided to demonstrate the effectiveness and applicability of the proposed design approach. Index Terms — filtering, missing measurements, parameter uncertainty, robust filtering, timedelay systems. I.
Distributed control for identical dynamically coupled systems: a decomposition approach
 IEEE Transactions on Automatic Control
, 2009
"... Abstract—We consider the problem of designing distributed controllers for a class of systems which can be obtained from the interconnection of a number of identical subsystems. If the state space matrices of these systems satisfy a certain structural property, then it is possible to derive a procedu ..."
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Cited by 24 (3 self)
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Abstract—We consider the problem of designing distributed controllers for a class of systems which can be obtained from the interconnection of a number of identical subsystems. If the state space matrices of these systems satisfy a certain structural property, then it is possible to derive a procedure for designing a distributed controller which has the same interconnection pattern as the plant. This procedure is basically a multiobjective optimization under Linear Matrix Inequality constraints, with system norms as performance indices. The explicit expressions for computing these controllers are given for both or performance, and both for static state feedback and dynamic output feedback (in discrete time). At the end of the paper, two application examples illustrate the effectiveness of the approach. Index Terms—Decomposition, distributed control, formation flying, linear matrix inequalities (LMIs), paper machines. I.
Nonsmooth optimization for multidisk H∞ synthesis
 Journal of Control
, 2005
"... We discuss output feedback control design with multiple performance specifications, each measured in a weighted H∞norm. The multidisk design problem consists in finding a stabilizing output feedback controller which minimizes the different performance specifications simultaneously using a worst cas ..."
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Cited by 17 (16 self)
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We discuss output feedback control design with multiple performance specifications, each measured in a weighted H∞norm. The multidisk design problem consists in finding a stabilizing output feedback controller which minimizes the different performance specifications simultaneously using a worst case strategy. This is less conservative than existing approaches, but difficult to solve algorithmically due to inherent nonsmoothness and nonconvexity. We present a nonsmooth optimization method suited for the multidisk problem and more generally, for programs where the maximum of an infinite family of nonconvex maximum eigenvalue functions is minimized. The method is shown to perform well on a control problem for a helicopter at hover. Keywords: H∞synthesis, multichannel design, multiobjective optimization, concurring performance specifications, static output feedback, reducedorder synthesis, decentralized control, PID, NPhard problems, nonsmooth optimization, multidisk problems. 1
Dynamic output feedback H∞ control synthesis for discretetime TS fuzzy systems via switching fuzzy controllers, Fuzzy Sets and Systems 160
, 2009
"... Abstract—This correspondence paper is concerned with the problem of designing switched dynamic output feedback H ∞ controllers for continuoustime Takagi–Sugeno (T–S) fuzzy systems. A new type of dynamic output feedback controllers, namely, switched dynamic parallel distributed compensation (SDPDC) ..."
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Cited by 16 (5 self)
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Abstract—This correspondence paper is concerned with the problem of designing switched dynamic output feedback H ∞ controllers for continuoustime Takagi–Sugeno (T–S) fuzzy systems. A new type of dynamic output feedback controllers, namely, switched dynamic parallel distributed compensation (SDPDC) controllers, is proposed, which are switched by basing on the values of membership functions. A new method for designing SDPDC controllers for guaranteeing stabilities and H∞ performances of closedloop nonlinear systems is presented, where the design conditions are given in terms of the solvability of a set of linear matrix inequalities. It is shown that the new method provides better or at least the same results of the existing design methods via a pure DPDC scheme. A numerical example is given to illustrate the effectiveness of the proposed method. Index Terms—Dynamic output feedback, H ∞ control, fuzzy control, linear matrix inequalities (LMIs), switched control, Takagi–Sugeno (T–S) fuzzy systems. I.
Needs and Opportunities for UncertaintyBased Multidisciplinary Design Methods for Aerospace Vehicles
, 2002
"... this report: Govind Chanani, Wei Chen, Raymond Cosner, Evin Cramer, William Follett, Glenn Havskjold, HanPin Kan, George Karniadakis, Sallie KellerMcNulty, Jerry Lockenour, Mary Mahler, William Oberkampf, Raj Rajagopal, Munir Sindir, Alyson Wilson, and Rudy Yurkovich ..."
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Cited by 16 (0 self)
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this report: Govind Chanani, Wei Chen, Raymond Cosner, Evin Cramer, William Follett, Glenn Havskjold, HanPin Kan, George Karniadakis, Sallie KellerMcNulty, Jerry Lockenour, Mary Mahler, William Oberkampf, Raj Rajagopal, Munir Sindir, Alyson Wilson, and Rudy Yurkovich