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This chapter provides a method for computing the peak output of a scalar proper rational transfer function, when the possible input set is defined by separate 2-norm bounds on the inputs and their rates of change. The notion of an approximately worst input is considered. A wind-gust/wind-turbine environment/system couple is used to illustrate the use of the method to test matching conditions.
This chapter considers the design of matched systems that are subject to persistent disturbances limited in both magnitude and rate of change. A computational method, that uses convex optimisation, for computing the approximate supremum absolute value of each output is presented. Together with the Method of Inequalities, the method is utilised in a numerical example to illustrate how a match can be...
This chapter presents an LMI-based method for design of control systems in accordance with the principle of matching and the principle of inequalities. The inputs are assumed to be persistent and/or transient. From the exponential convergence conditions of the unit impulse and the unit step responses, matrix inequalities are derived as a sufficient condition for ensuring that the system is matched...
This chapter deals with the design of sampled-data control systems. The aim is to ensure that the system is matched to its environment. By applying the lifting technique, the system is treated as a linear time-invariant discrete-time system that completely retains the intersample behaviour. A numerically tractable condition for matching the system to its environment is derived in the form of inequalities...
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