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HZKZnkwOCYjeEE7MkRXZEc4d1RmNE5YVHJxZlh0QzFDNWt1YmlSN2VOcEJjV2lNS2NxZ2N6VWQvSFpWTDlKL092OEFNVkkvTG5tWHpGNWYwKzA4amVhciYjeEE7Mkd4c1h0NTVIdjdYNjBTTGVhNEREMDNSd0svQUFRUGVnS3J6RFhQK09GNXcvd0ROcW4vazQrS3Mvd0RPbi9PU09zYWQ1bTh3MmVpSiYjeEE7b1M2ZDVYa01GM0JxMTQ4Ri9meXhBK3VsaWlmQ0NqQXFPWU5UMDMyeFZrRnorY1BuRHpMcldtYU4rVytsV1Z4Y1hHa1crdTZoZDZ6SiYjeEE7TEhCRERjMDlPM0FoK0l5bngzSDBBNHF4d2Y4QU9TK3VSK1JyZlVyelROUHMvTWVvNjNjNk5hUTNFN1IyRnNscXNiU1RYTTFTV0NlbyYjeEE7QWVOSzlSNEZWbW41T2ZtNWMrZEx6VzlFMVQ5SFNheG9aaFpyM1JwbW4wKzZobkJLeVFNL3hqaVY0c0d4VjZmaXJzVmZuQitTbi9rMyYjeEE7UEtIL0FHMWJYL2s2TVZmby9pcnNWZm5CK1NuL0FKTnp5aC8yMWJYL0FKT2pGWG9IL09aSzNvL051RnB3ZlJPbFczMVE3MDlNU1M4dSYjeEE7di9GbkxwaXI2UDhBeVcvTzN5ajU2MEN4czB1NDdUekxCQWtkN3BNckJKR2VOUUdrZ0Ivdkl6U3Z3MUsvdFV4VjZoaXI0UTgwL2xYcSYjeEE7bm16Vi93QTFmTVdrY3A3L0FNdWVZYnRwckJSVXkyc3R6Y0dWa3B1WGo5TU5UdXRlOUFWVi93RHpqYitkaitRL01QNkgxZVkvNFQxZSYjeEE7UUM1TEhhMW5Qd3Jjci9rOUZsL3lkLzJhRlY5MW82T2l1akJrWUFxd05RUWR3UVJpcnd1eS93RFd3Yi8vQU1CeGYrSlJZcTkxeFZpZiYjeEE7NW4rUUxmejE1VWwwUjd0OVB1VW1pdTlQdjQxRG1DNWdQS04rQkk1RHFDS2pZOWNWWTE1Vy9LenprM25qVC9PUG52ekpGcm1vYUpieSYjeEE7MjJqVzlwYXJheFJtNFV4eXpTVSswN29TS0FVL1ZpcUEwNzhocnUwL0tiU3ZJWjFpTjV0TjFPUFVtdjhBMEdDdUk3azNIcGlQblVWciYjeEE7U3ZMRldVYVgrV052RHJYbnU3MUc0VzgwL3dBN0dGWnJNSnhNVVVkc2JkMUxFdHk1QnExb0tZcXhyeWQvemp4cEdqZmxscm5rblZMOSYjeEE7dFJrMTlxM2VwcW5CMVdKVVcwQ3F6UHRCNllaUVRTdnRpcTd5WitVSG5IVE5ZaHZOZTh3MlY1YVdGbkxaV1Z0WTZiRGFtWXlwNmZyMyYjeEE7VGdNeGRRSy9DZXZlaFlNcWlOTC9BQ2IxblMveWcwcnlQcC9tV1d4MWJScmhydTExaTJSbGlrayt0UzNLeHoyL09rc0pFM0ZrWmlDUSYjeEE7RFEwcGlxUXgvd0RPUE9zM2VqZWNVMVRXTENEVi9Oa0Z0YXNOTXNSYldVSzIwd2w5UXhLd01rajAzTzMwNHF5clhmeXExYTUvTVR5MSYjeEE7NTIwZlhmMGJkYVJhUmFacWRxMEFsUzdzVWxNanhnbGg2WmZtd3JRMDJJb1J1cXhEUy9LR2o2Ly9BTTVSYTFyMW1oK3ArV3JPMWJVdiYjeEE7OTlTYXhMRTBjVEFmWkpqdG0zN2h4NzRxOUYvTkg4dWJmejFvTUZrTDJUUzlVMDY2aTFEUjlWaFVPOXZkUTE0UHhxdkliN2lvN0h0aSYjeEE7ckZkSC9KbnpKcWZtY2VZL3pJOHd4K1lMbTFzWjlOMDIwdExjV2tNVWQzRTBOeEtlSkhLU1NOMkhUYXZzb0NxQjBmOEFJanpiRytnYSYjeEE7THJYbTFkUThrK1ZyeU8vMHJUVXRSRmRTdGJzV3Q0N2lZTjltTGxUYnFPdzJvcXFYL3dEemovZVhXbjYxYWpXbzFPcStiZjhBRlN2NiYjeEE7REgwMDVNMzFZam51M3hmYi9ERlZ2bWI4aVBNVTNtSFhMN3lycjlwcG1uK1o1UHJHcVJYbGhIZHoyODdDa3N0bk14RElaT3ROcUhvZSYjeEE7bEZXUC9tb3NQa0R6em9tc2FkNW1sOHRYOTNvLzZOdmRWdmRPRjNwdDBscXk4UXd0bEhwM1A3ZkZJK05BS2NlaktwWitXSDVRNnA1ciYjeEE7L0tXd3ZudkRwK3UyMnUzZXRhRnFOM2JMSWswY3ZDTW1lMWZiMDUvVDVVK1JGUjFWZXcvbG41RDE3eTBkVHZkZTFXMzFMVWRUZU52VCYjeEE7czdPS3p0YlpJMTRoSVZRY3p5NnRVMHIyclVsVm5PS3V4VitjSDVLZitUYzhvZjhBYlZ0ZitUb3hWOWM2OWQvODVVTHJ1b3JvbGxvRCYjeEE7Nk1McVlhWTA1YjFUYStvM29tVDk0UGk5T25MM3hWQWZYZjhBbk1IL0FKWVBMbi9CTi8xVnhWOHEva3AvNU56eWgvMjFiWC9rNk1WZiYjeEE7YlA1MC9rdG9uNW02TEREUEw5UjFxdzVIVGRTVmVmSG5UbkhLbFJ6amJpTzlWTzQ3Z3F2alB6NytSMzVtK1FaV3V0UzA1NWRQZ2JsSCYjeEE7ck5nVE5iamp1SExxQThYdDZpcmlyTGZ5dy81eXM4OStWcG9iUHpGSS9tVFF3UXJyY05XOWpYK2FPNGJkNmZ5eVZyMHF1S3ZvbjhoOSYjeEE7Q3RJOVM4NGViOUt2NDlTOHYrYzcxTlYwMmRCd2tqYVI1M3VMZWFNN284TWtuSDMvQUF4VjRIL3psRitTQThwYXdmTnVnd2NmTGVxeSYjeEE7bjYxQkdQaHM3cDZrcUFQc3hTOVU3S2ZoMitIRldlZjg0bmZuY2I2M2kvTDN6RGNWdTdaRC9oKzZrTzhrS0NwdENUKzFHdThmK1Q4UCYjeEE7N0lxcXlleS85YkJ2L3dEd0hGLzRsRmlyM1hGVURybXVhVG9XazNXcjZ2ZFIyV20yYWVwYzNNcG9xTFduYmNrazBBRzVPdzN4VmhFSCYjeEE7NS9mbGhmZVhOYTFyUzlZVzRYUkxmNnhkVzhrTnhES0ZjaElXOU40eEl5U082RG1xa0RrSzB4VkxmK2NlL3dBMDlZL01MUXRSdjlYdSYjeEE7N0NXK3Q1azVXV253WE1QMVZKT1hGSlduQlYyUENvTWJzS2RUWEZXTjZkK2VINXFhNUxxV3QrV3ZMZW5hcDVhMHUvTmpQb3NVMHJhOCYjeEE7WTFrRWZyZWtwS0xXdGVKVGIzQUp4VjZKNXMvT2o4dVBLVjdCWWVZZFcrcFg4OFN6dGFDR2FhV0tOK2pUQ0JKUFQvMldLcDNGNTI4ciYjeEE7VGF2cHVrUWFnazEvckZvMm9hWWtTdklrMXFsQ1pWbFZURlRjZFdxZTJLc0c4K2Y4NUdlUlBLK2t3WDF0TitrNVp0U20wczIvRzR0KyYjeEE7TDJieHJldHphQndmUUV5R2xQanI4Sk9LcFpxMy9PUkdnYWIrWU9teFQ2akFua1RVZkx2Nll0NzR3VC9XSkxocnFXRlZSYWVwUXBGOSYjeEE7bjA2OThWWnhjZm05K1hFSGs2RHpqSnJjUCtIcmwvU3RydFZsTHlTMUk5SllRdnJlcDhKcXZDbzZuYkZWdGorY1A1Ylh2bFc4ODFRNiYjeEE7M0NORjA1dlR2NTVGa2praGtKQUVid01vbTVrbWlqajhYYXVLck5CL09mOEFMWFhOSTFQVmJIV1VXejBaQkxxbjFpT1cza2dScThHYSYjeEE7T1ZFY2hxZkR4QnFkdXVLcFhIL3prTitWZHo1ZTFmV3JIVnhQRm8wS3ozRUR3WE1NaFdXUllZV1ZHaTVsSkpaRVhtcWtMeStLbUtwcCYjeEE7K1ZINXFhRitZM2x0ZFYwMGVqZHc4VTFPdy9lTjlXbVlGaEg2cnh3cko4Ty9KUlRGV0plUlB6NWZYdlAvQUp5OG02bmJRV2w1b2R4ZSYjeEE7cG9qeDh3THFLeGxramtWK1RIOTRGVlhvdlVjalRiRlUxOHZmbmZvRWY1VzZINTE4NVhNR2t5YXdIVkxhQkpaUzhxU3VnU0dKZlZsYiYjeEE7WkJYc081R0twdWZ6ay9LK1R5ckQ1b2JXNFcwQ2U2U3hGMlk1aUV1bUhKWTVZK0hPSWdEbFYxQUEzeFZYMFg4M1B5ODF0M1hUdFhXVSYjeEE7eDZmSnJERjRiaUZmcUVNclFTWEFhV05BVVdSQ052bjB4VlVzdnpVOGhYMm42RnFGcHFvbXRQTXR3OXBvc2l3M0ZaNW8yWlhVcjZmSyYjeEE7UGlVTlRJRkE4Y1ZTelN2ejMvS3JWZGRPaWFmcml6My9BQ2RJZU1GeDZVenhBbDFnbTlQMDVXRk5nckhsK3pYRlV4YjgxL3kvSGsyRCYjeEE7em4rbGxieTVkU0NDM3ZGaHVHWjVXbE1JaldCWXpPVzVxUlRoWHYweFY4Ry9rcC81Tnp5aC93QnRXMS81T2pGWDZQNHE3Rlg1d2ZsOCYjeEE7c25sejg0dEFodjZSTnBtdTIxdmVGOWducFhTeHlrK0hIZkZYNlA0cTRnTUNDS2c3RUhvUmlyNVIvd0NjcXZ5Tjh0YVBvcDg5ZVc3ZCYjeEE7Tk5aSjQ0dFcwK0ZRc0RpWThWbWpRYlJzSG9yS29vYTEySVBKVk9mK2NJYnEvZnl0NWx0cEN4c0liMkY3Y0g3SWxraUlscC9zVWpyaSYjeEE7cjZIMTNSTkwxM1I3elI5VmdXNjA2K2lhRzVnZm95TitvanFDT2gzeFYrZkg1cmZseHIvNVdlZWZxaXl5TGJpVDYzb09xcDhMUEdqMSYjeEE7Umd5OUpZalFNT3gzN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Control Theory Examples
1. Simulation of a first order plus time delay plant. Task: Text Solution: ex_1st_plus_delay.m
2. Simulations with for-loops: Alternative 1. Using x=x+y. Alternative 2
using x(i+1)=x(i)+y
Remark: For efficiency when coding using "any" programming language
the x=x+y way of coding as illustrated in the m-file in alternative
1 above sholuld be used.
3. Calculating the Phase crossover frequency, w180, in Example 9.6
in lecture notes, using "fix-point" iteration. main_ex96_w180.m