@article{Banjerdpongchai2002,

title = {Robust analysis of discrete-time Lur'e systems with slope restrictions using convex optimization},

author = {D Banjerdpongchai and H Kimura},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-0036622094&doi=10.1111%2fj.1934-6093.2002.tb00338.x&partnerID=40&md5=946954acc996b1a69f8ea15e91cc3004},

doi = {10.1111/j.1934-6093.2002.tb00338.x},

issn = {15618625},

year  = {2002},

date = {2002-01-01},

journal = {Asian Journal of Control},

volume = {4},

number = {2},

pages = {119-126},

abstract = {This paper considers robust stability and robust performance analysis for discrete-time linear systems subject to nonlinear uncertainty. The uncertainty set is described by memoryless, time-invariant, sector bounded, and slope restricted nonlinearities. We first give an overview of the absolute stability criterion based on the Lur'e-Postkinov Lyapunov function, along with a frequency domain condition. Subsequently, we derive sufficient conditions to compute the upper bounds of the worst case H2 and worst case H∞ performance. For both robust stability testing and robust performance computation, we show that these sufficient conditions can be readily and efficiently determined by performing convex optimization over linear matrix inequalities.},

note = {cited By 10},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Banjerdpongchai2000,

title = {Parametric robust H2 control design using iterative linear matrix inequalities synthesis},

author = {D Banjerdpongchai and J P How},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033887546&doi=10.2514%2f2.4498&partnerID=40&md5=9244e8b473b0d9315dc7cf4d9248a0fd},

doi = {10.2514/2.4498},

issn = {07315090},

year  = {2000},

date = {2000-01-01},

journal = {Journal of Guidance, Control, and Dynamics},

volume = {23},

number = {1},

pages = {138-142},

publisher = {AIAA, Reston},

abstract = {The numerical performance of a new linear matrix inequalities (LMI)-based design technique for robust H2-controller was analyzed for systems with real parametric uncertainty. This technique iterates between solving LMIs for the analysis parameters with the controller values fixed and LMIs for the controller values with the multiplier parameters fixed. A potential advantage of the LMI approach is the low implementation overhead associated with the optimization, especially given the simplicity of current semidefinite programming interfaces. This advantage also simplifies the extension of the algorithm to include more general stability multipliers.},

note = {cited By 10},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Banjerdpongchai1998b,

title = {Parametric robust H2control design with generalized multipliers via LMI synthesis},

author = {D Banjerdpongchai and J P How},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-0032099016&doi=10.1080%2f002071798222343&partnerID=40&md5=9c50d534122f079c66876cb47e497eaf},

doi = {10.1080/002071798222343},

issn = {00207179},

year  = {1998},

date = {1998-01-01},

journal = {International Journal of Control},

volume = {70},

number = {3},

pages = {481-503},

abstract = {A new combined analysis and synthesis procedure that provides a less conservative robust control design technique for systems with real parametric uncertainty is presented. The robust stability for these systems is analysed by the passivity theorem with generalized multipliers, and the worst case H2 performance is investigated using an upper bound on the total output energy. The dynamics of the multipliers are systematically chosen using knowledge from the linear part of the uncertain systems. This approach provides additional degrees of freedom in the synthesis that lead to a reduction of the conservatism in the worst-case H2 per formance and achieved robustness bounds. However, the formulation of the control design problem is very complicated and it is difficult to solve directly. This paper presents an iterative algorithm, which in an H2 equivalent of the D-K iteration for the u/Km synthesis, to account for the complicated couplings in the synthesis problem. We use a simple beam system with an uncertain modal frequency to illustrate that this synthesis technique with generalized multipliers results in less conservative controllers than previously published Popov controller synthesis techniques. In the process, we demonstrate that this design approach is very effective and simple to implement numerically. © 1998 Taylor & Francis Ltd.},

note = {cited By 9},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Park1998,

title = {The asymptotic stability of nonlinear (Lur'e) systems with multiple slope restrictions},

author = {P Park and D Banjerdpongchai and T Kailath},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-0032123989&doi=10.1109%2f9.701105&partnerID=40&md5=14ad64713f1cda9a08bd397ffb00d42d},

doi = {10.1109/9.701105},

issn = {00189286},

year  = {1998},

date = {1998-01-01},

journal = {IEEE Transactions on Automatic Control},

volume = {43},

number = {7},

pages = {979-982},

abstract = {In this paper, the authors present the analysis of the asymptotic stability of multiple slope-restricted nonlinear (Lur'e) systems. By providing a Lyapunov function, they obtain a matrix-language criterion in terms of algebraic Riccati equations and linear matrix inequalities, which are discussed at the point of computational issues. Additionally, they consider the frequency-domain interpretation of the result.},

note = {cited By 22},

keywords = {},

pubstate = {published},

tppubtype = {article}

}