One of the approaches for documenting software architecture is to treat it as a set of architectural design decisions. Such decisions are always made in the context of requirements that must be fulfilled and in the co...
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Many systems compete the same finite duration task over and over again, where once each is complete the system resets to the starting location and the next one begins. Each execution is known as a trial and the durati...
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ISBN:
(纸本)9781479901777
Many systems compete the same finite duration task over and over again, where once each is complete the system resets to the starting location and the next one begins. Each execution is known as a trial and the duration the trial length. Iterative learning control has been developed for such systems where the distinguishing feature is the use of information from previous trials to update the control signal applied on the next one. The new contributions in this paper are for algorithms that use a feedforward filter often termed the learning filter. A condition for existence of this filter is formulated in terms of linear matrix inequalities through application of the generalized Kalman-Yakubovich-Popov lemma. This allows filter design over a finite, as opposed to the complete, frequency range which is more practically relevant in many cases. An extension to systems with uncertainties represented by a polytopic description is also developed using parameter dependent Lyapunov functions.
This paper uses the Kalman-Yakubovich-Popov lemma to develop new stability tests for differential linear repetitive processes. The control systems theory for these processes have a number of applications areas and the...
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ISBN:
(纸本)9781467357159
This paper uses the Kalman-Yakubovich-Popov lemma to develop new stability tests for differential linear repetitive processes. The control systems theory for these processes have a number of applications areas and the new results in this paper also extend to the design of control laws. In comparison to currently available alternatives, these new tests offer the potential of reduced conservativeness by allowing the use of a Lyapunov matrix with piecewise constant entries as opposed to current algorithms where the Lyapunov matrix has constant entries. For control law design, linear matrix inequality formulations are developed that also extend to the practically relevant case where frequency attenuation is not enforced over the complete spectrum.
Multipass processes was the name used to describe the dynamics of longwall coal cutting in the early 1970's. Later the term 'repetitive process' was used and, using coal cutting as a motivating example, th...
Multipass processes was the name used to describe the dynamics of longwall coal cutting in the early 1970's. Later the term 'repetitive process' was used and, using coal cutting as a motivating example, the development of a stability and control theory for these processes began. In the past two decades, this theory has been developed, motivated by the emergence of more physical examples and the recognition that repetitive process control theory can also be used to solve problems in other areas, to the stage where experimental verification is available to support the theory. This paper gives a reflective overview of the progress achieved in the underlying systems theory and in a companion paper the application of this theory is described together with a discussion of possible future developments.
Wireless sensor networks (WSNs) are autonomous ad hoc networks designed and developed for potential applications in monitoring, surveillance, security, etc. The sensor devices that are battery powered should have life...
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This paper develops a vector Lyapunov function based approach to the stability of continuous and discrete 2D nonlinear systems with Markovian jumps. Nonlinear continuous-time 2D systems described by a Roesser model an...
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This paper develops a vector Lyapunov function based approach to the stability of continuous and discrete 2D nonlinear systems with Markovian jumps. Nonlinear continuous-time 2D systems described by a Roesser model and nonlinear discrete-time repetitive process with Markovian jumps are considered, for which global asymptotic stability in the mean square is defined and sufficient conditions for the existence of this property obtained in terms of stochastic vector Lyapunov functions. These conditions are then applied to iterative learning control design for a set of linear systems with jumps that are controlled over a network. The resulting networked ILC model has the form of repetitive process with a Markovian random structure. The ILC convergence problem is reduced to a stochastic stabilization problem, where the use of a stochastic Lyapunov function as a vector of quadratic forms results in control law design algorithms that can be computed using linear matrix inequalities.
The paper discusses several theoretical and implementational problems of interval branch-and-bound methods. A trial to define a class of problems that can be solved with such methods is done. Features and variants of ...
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The paper presents a formal method of specifying complex robotic systems. Although the method is general, here it is applied to the description of two, however diverse, robot behaviours, in which the induced motion wa...
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The paper deals with the problem of designing filters for non-linear discrete-time stochastic systems. In particular, it is shown how to design an unknown input filter for a single (constant) unknown input distributio...
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This paper develops a new set of conditions for strong practical stability of linear discrete repetitive processes through use of the generalized version of the Kalman-Yakubovich-Popov Lemma, with an extension to exam...
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ISBN:
(纸本)9781467357159
This paper develops a new set of conditions for strong practical stability of linear discrete repetitive processes through use of the generalized version of the Kalman-Yakubovich-Popov Lemma, with an extension to examples with uncertainty. These new conditions reduce the problem of determining if an example has this stability property to checking for the existence of a solution to a set of linear matrix inequalities (LMIs) and, relative to alternatives, can reduce the level of conservatism. The validity of the developed results are demonstrated by numerical example. A numerical example is also given.
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