ISSN:1049-8923    

DOI:10.1002/rnc.4590040402

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractThe continuous‐ and discrete‐timeH∞control problems are solved via elementary manipulations on linear matrix inequalities (LMI). Two interesting new features emerge through this approach: solvability conditions valid for both regular and singular problems, and an LMI‐based parametrization of allH∞‐suboptimal controllers, including reduced‐order controllers.The solvability conditions involve Riccati inequalities rather than the usual indefinite Riccati equations. Alternatively, these conditions can be expressed as a system of three LMIs. Efficient convex optimization techniques are available to solve this system. Moreover, its solutions parametrize the set ofH∞controllers and bear important connections with the controller order and the closed‐loop Lyapunov functions.Thanks to such connections, the LMI‐based characterization ofH∞controllers opens new perspectives for the refinement ofH∞design. Applications to cancellation‐free design and controller order reduction are discussed an

ISSN:1049-8923    

DOI:10.1002/rnc.4590040403

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn this paper we shall consider theH∞control problem using static output feedback. The approach uses some recent results from linear algebra. The main result shows that theH∞control problem is solvable by a static output feedback controller if and only if there exists a positive definite matrix satisfying two certain quadratic matrix inequalities. A parametrization of all static output feedbackH∞controllers is

ISSN:1049-8923    

DOI:10.1002/rnc.4590040404

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractThis paper is concerned with the discrete‐timeH∞control problem with measurement feedback. We extend previous results by having weaker assumptions on the system parameters. We also show explicitly the structure ofH∞controllers. Finally, we show that it is in certain cases possible, without loss of performance, to reduce the dynamical order of the contro

ISSN:1049-8923    

DOI:10.1002/rnc.4590040405

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn this paper a generator of all optimal solutions to two‐block ℋ︁∞problems is derived. The derivation is in frequency domain and hinges on geometrical arguments. The results involve noncanonical Wiener‐Hopf factorization of rational

ISSN:1049-8923    

DOI:10.1002/rnc.4590040406

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn this paper we propose a nonrecursive method for solving the general discrete‐time algebraic Riccati equation related to theH∞control problem (H∞‐DARE). We have achieved this by casting the problem of solving a givenH∞‐DARE to the problem of solving an auxiliary continuous‐time algebraic Riccati equation associated with theH∞control problem (H∞‐CARE) for which the well known nonrecursive methods of solving are available. The advantages of our approach are: it reduces the computation involved in the recursive algorithms while giving much more accurate solutions, and it readily provides the properties of

ISSN:1049-8923    

DOI:10.1002/rnc.4590040407

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn this paper we extend the finite‐dimensional results for theH∞‐control problem with measurement‐feedback to a large class of infinite‐dimensional systems, allowing for a certain type of unboundedness in the input and output operators (the Pritchard‐Salamon class). The main result of the paper relates the solvability to the suboptimalH∞‐control problem to the existence of stabilizing solutions to certain operator Riccati equations. Furthermore, a characterization of all suboptimal contr

ISSN:1049-8923    

DOI:10.1002/rnc.4590040408

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractThis paper summarizes some recent results on the problem of disturbance attenuation via measurement feedback, with internal stability, for an affine nonlinear system. The solution of the problem is shown to be related to the existence of solutions of a pair of Hamilton‐Jacobi inequalities innindependent variables, associated with state feedback and, respectively, output‐injection des

ISSN:1049-8923    

DOI:10.1002/rnc.4590040409

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractWe investigate bounds of frequency‐restricted norms (FRN), a generalization ofH∞‐norm, for SISO LTI interval systems, where the numerator and the denominator are interval polynomials. Though theH∞‐norm of interval systems can be determined by 16 Kharitonov‐type systems, we can show that this fact is not true in general by a counterexample. A special class of systems for which the FRN is bounded by fixed extremal systems is derived. On the basis of this result, an example of PI‐type controller design considering both parametric and unstructured perturbations is illustrated by a parameter space

ISSN:1049-8923    

DOI:10.1002/rnc.4590040410

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractSystem identification algorithms for linear time‐invariant (LTI) systems have been developed recently, which provide induced norm bounds on the difference between the true system and the identified one. The error bounds then allow the use of robust control design techniques with guarantees on performance of the real system. This note concerns the adaptation of robustH∞identification techniques to linear periodic discrete‐time (LPDT) systems. The paper focuses on the algorithm proposed by Helmickiet al.13and is based on a frequency‐domain approach to LPDT

ISSN:1049-8923    

DOI:10.1002/rnc.4590040411

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY